![]() abrasive article with non-uniform distribution of openings
专利摘要:
ABRASIVE ARTICLE WITH NON-UNIFORM OPENING DISTRIBUTION. An abrasive article having a plurality of openings arranged in a non-uniform distribution pattern, in which the pattern is spiral or phylotaxic, and in particular the patterns described by the Vogel equation. Also, a support base is provided having spiral or phylotaxic patterns of airflow pathways, such as in the form of open channels. The support base can be specifically adapted to match an abrasive article having a non-uniform distribution pattern. Alternatively, the support base can be used in conjunction with conventional perforated coated abrasives. Abrasive articles having a non-uniform distribution pattern of openings and support bases can be used together as an abrasive system. 公开号:BR112014016015B1 申请号:R112014016015-5 申请日:2012-12-31 公开日:2020-12-29 发明作者:Anuj Seth;Julie M. Dinh-Ngoc;Vivek CHERUVARI KOTTIETH RAMAN;Paul A. Krupa;James M. Garrah 申请人:Saint-Gobain Abrasives, Inc.;Saint-Gobain Abrasifs; IPC主号:
专利说明:
FIELD OF DISSEMINATION [0001] The present disclosure generally refers to abrasives and more particularly to abrasive articles, having a pattern of openings, where the pattern is a non-uniform distribution pattern. BACKGROUND OF THE INVENTION [0002] Abrasive articles, such as coated abrasive articles, are used in various industries to wear parts by hand or machine, such as by cutting, grinding or polishing. Machining using abrasive articles covers a broad industrial and consumer scope in the optical industries, automotive paint repair industries, and metal fabrication industries for construction and carpentry. Machining, such as by hand or with the use of commonly available tools such as orbital polishers (random and fixed axis) and belt sanders and vibrators, is also commonly done by consumers in household applications. In each of these examples, abrasives are used to remove the surface material and affect the surface characteristics (for example, flatness, surface roughness, gloss) of the abrasive surface. In addition, various types of automated treatment systems have been developed to abrasively treat articles of various compositions and configurations. [0003] Surface characteristics include, but are not limited to, gloss, texture, surface roughness and uniformity. In particular, surface characteristics, such as roughness and gloss, are measured to determine quality. For example, when coating or painting a surface, certain imperfections or defects on the surface may occur during application or curing. Such surface imperfections or surface defects can include marks, "orange peel" texture, "fish eye" or encapsulated bubble and dust defects. Typically, such defects on a painted surface are removed by first sanding with a coarse-grained abrasive, followed by sanding with progressively finer-grained abrasives and even polishing with wool or foam bases until the desired smoothness is achieved. Therefore, the properties of the used abrasive article will generally influence the surface quality [0004] In addition to surface characteristics, industries are sensitive to costs related to abrasive operations. Factors that influence operating costs include the speed at which a surface can be prepared and the cost of materials used to prepare the surface. Typically, the industry seeks cost-effective materials, with high material removal rates. [0005] However, abrasives that exhibit high frequency removal rates perform poorly in achieving desirable surface characteristics. On the other hand, abrasives that produce desirable surface characteristics often have low material removal rates. For this reason, surface preparation is often a multi-step process, using various types of abrasive sheets. Typically, surface flaws (eg scratches) introduced by one step are repaired (eg removed) using progressively finer grain abrasives in one or more subsequent steps. Therefore, abrasives that have surface defects and scratches result in increased time, effort and expense of materials in later processing steps and an overall increase in total transformation costs. [0006] An additional factor that affects the surface quality and the rate of material removal is the "loading" of the abrasive with "chips", that is, the material that is worn away from the workpiece surface, which tends to become accumulate on the surface of and between, abrasive particles. Loading is undesirable because it normally reduces the effectiveness of the abrasive product and can also negatively affect surface characteristics, increasing the likelihood of scratch defects. [0007] Although several efforts have been made to reduce the accumulation of chips, such as the introduction of liquids on the surface of the piece to remove the chips, as well as the application of vacuum systems to take away the chips, as it is generated , there remains a demand for cost-effective, improved abrasive articles, processes and systems that promote efficient abrasion and improved surface characteristics. BRIEF DESCRIPTION OF THE FIGURES [0008] The present disclosure can be better understood, and its numerous resources and advantages are apparent to those versed in the technique by consulting the accompanying figures. [0009] FIG. 1 is an exemplary embodiment of a coated abrasive disc, having an opening pattern with a controlled non-uniform distribution of the openings according to the present invention. [0010] FIG. 2 is an illustration of a phylotaxic spiral pattern having parastychia clockwise and counterclockwise, in accordance with the present invention. [0011] FIG. 3 is another illustration of a phylotaxic spiral pattern having parastychia clockwise and counterclockwise, in accordance with the present invention. [0012] FIG. 4 is an illustration of the Vogel model in accordance with the present invention. [0013] FIG. 5a - 5C are illustrations of phylotaxic spiral patterns in accordance with the Vogel model that have different angles of divergence, in accordance with the present invention. [0014] FIG. 6a-6F are illustrations of exemplary forms of the slit-shaped opening according to the present invention [0015] FIG. 7 is an illustration of a cross section of an exemplary embodiment of a coated abrasive article in accordance with the present invention. [0016] FIG. 8 is an illustration of a cross section of an exemplary embodiment of an opening pattern having 148 openings, in accordance with the present invention. [0017] FIG. 9 is an illustration of an exemplary embodiment according to the present invention of a transposition of the opening pattern of FIG. 8 [0018] FIG. 10 is an illustration of an exemplary embodiment according to the present invention of a support base that is cooperative with the opening pattern of FIG. 8 [0019] FIG. 11 is a graphical image of a cross section of an opening pattern having 246 openings, in accordance with the present invention. [0020] FIG. 12 is an illustration of an exemplary embodiment according to the present invention of a transposition of the opening pattern of FIG. 11 [0021] FIG. 13 is an illustration of an exemplary embodiment according to the present invention of a support base that is cooperative with the opening pattern of FIG. 11 [0022] FIG. 14 is a graphic image of one of an exemplary embodiment of an opening pattern having 344 openings, in accordance with the present invention. [0023] FIG. 15 is an illustration of an exemplary embodiment according to the present invention of a transposition of the opening pattern of FIG. 14 [0024] FIG. 16 is an illustration of an exemplary embodiment according to the present invention of a support base that is cooperative with the opening pattern of FIG. 14 [0025] FIG. 17A - 17 D are graphic representations of aperture coverage during orbital rotation for standard aperture data, of which 17B - 17 D are exemplary embodiments according to the present invention [0026] FIG. 18A - 18 D are graphic representations of aperture coverage during orbital rotation for standard opening data, of which 18B - 18 D are exemplary embodiments in accordance with the present invention [0027] FIG. 19 is a graph comparing the abrasive performance of exemplary opening patterns according to the present invention with that of the state of the art opening pattern [0028] FIG. 20 is a graph comparing the abrasive performance of exemplary opening patterns according to the present invention with that of the state of the art opening pattern [0029] FIG. 21 is a graph comparing the abrasive performance of exemplary opening patterns according to the present invention with that of the state of the art opening pattern [0030] FIG. 22 is a graph comparing the abrasive performance of exemplary opening patterns according to the present invention with that of the state of the art opening pattern [0031] FIG. 23 is a graph comparing the abrasive performance of exemplary opening patterns and cooperative support bases according to the present invention with a state of the art opening pattern and state of the art support base [0032] FIG. 24 is a graph comparing the abrasive performance of pairs of exemplary coated abrasive discs and support bases according to the present invention with combinations of prior art coated abrasives and support bases [0033] FIG. 25 is a graph comparing calculated times to wear 10,000 square feet of vehicle panels using exemplary coated abrasive discs and support bases according to the present invention with combinations of coated prior art abrasives and support bases [0034] FIG. 26 is a graph comparing cutting efficiency in vehicle panels using exemplary coated abrasive discs and support bases according to the present invention with combinations of prior art coated abrasives and support bases [0035] FIG. 27 is another graph comparing cutting efficiency in vehicle panels using other exemplary coated abrasive discs and support bases according to the present invention with combinations of prior art coated abrasives and support bases [0036] FIG. 28 is an illustration of an embodiment of a support base with a spiral path pattern; 34 external spiral paths and 8 internal spiral paths according to the present invention. The base support pattern corresponds to a Vogel equation pattern having 151 openings. [0037] FIG. 29 is an illustration of a modality of a support base with a spiral path pattern; 34 external spiral paths and 8 internal spiral paths according to the present invention. The base support pattern corresponds to a Vogel equation pattern having 251 openings. [0038] FIG. 30 is an illustration of another embodiment of a support base having a spiral path pattern; 34 external spiral paths and 8 internal spiral paths according to the present invention. The base support pattern corresponds to a Vogel equation pattern having 351 openings. [0039] FIG. 31 is an illustration of the modality of a support base having a spiral path pattern; 34 external spiral paths and 8 internal spiral paths according to the present invention. The base support pattern corresponds to a Vogel equation pattern having 247 openings. [0040] FIG. 32 is an illustration of the modality of a support base having a spiral path pattern; 34 external spiral paths and 8 internal spiral paths according to the present invention. The base support pattern corresponds to a Vogel equation pattern having 346 openings. [0041] FIG. 33 is an illustration of the modality of a support base with a spiral path pattern; 34 external spiral paths and 8 internal spiral paths according to the present invention. The base support pattern corresponds to a Vogel equation pattern having 442 openings. [0042] FIG. 34 is an illustration of the abrasive side of a coated abrasive embodiment having 151 openings, 150 openings around a central opening, according to the present invention [0043] FIG. 35 is an illustration of the opposite side of the same embodiment shown in FIG.34. [0044] FIG. 36 is an illustration of the abrasive side of a coated abrasive embodiment having 247 openings, 246 openings around a central opening, according to the present invention [0045] FIG. 37 is an illustration of the opposite side of the same embodiment shown in FIG.36. [0046] FIG. 36 is an illustration of the abrasive side of an embodiment of a coated abrasive having 251 openings, 250 openings around a central opening according to the present invention [0047] FIG. 39 is an illustration of the opposite side of the same embodiment shown in FIG.38. [0048] FIG. 40 is an illustration of the abrasive side of a coated abrasive modality having 346 openings, 345 openings around a central opening according to the present invention [0049] FIG. 41 is an illustration of the opposite side of the same embodiment shown in FIG.40. [0050] FIG. 42 is an illustration of the abrasive side of a coated abrasive embodiment having 351 openings, 350 openings around a central opening, according to the present invention. [0051] FIG. 43 is an illustration of the opposite side of the same embodiment shown in FIG. 42. [0052] FIG. 44 is an illustration of the abrasive side of an embodiment of a coated abrasive having 442 openings, 441 openings around a central opening, according to the present invention. [0053] FIG. 45 is an illustration of the opposite side of the same embodiment shown in FIG.44. [0054] FIG. 46 is an illustration of an embodiment of a single alignment support base (also called 2-fold alignment) having 34 external spiral paths and 8 internal spiral paths according to the present invention. [0055] FIG. 47 is an illustration of an embodiment of a double alignment support base (also called 4-fold alignment) having 68 external spiral paths and 8 internal spiral paths according to the present invention. [0056] FIG. 48 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, superimposing the single alignment support base of FIG. 46, in which the coated abrasive is rotated 90 degrees out of phase with the support such that no opening of the coated abrasive corresponds to any of the external spirals of the support base. [0057] FIG. 49 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, superimposing the single alignment support base of FIG. 46, in which the coated abrasive is rotated 180 degrees out of phase with the support such that almost all openings of the coated abrasive correspond to at least one of the external spirals of the support base. [0058] FIG. 50 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, overlapping the single alignment support base of FIG. 46, in which the coated abrasive is rotated 270 degrees out of phase with the support such that no opening of the coated abrasive corresponds to any of the external spirals of the support base. [0059] FIG. 51 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, superimposing the single alignment support base of FIG. 46, in which the coated abrasive is rotated 0 degrees out of phase with the support such that almost all openings of the coated abrasive correspond to at least one of the external spirals of the support base. [0060] FIG. 52 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, overlapping the double alignment support base of FIG. 47, in which the coated abrasive is rotated 45 degrees out of phase with the support such that no opening of the coated abrasive corresponds to any of the external spirals of the support base. [0061] FIG. 53 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, superimposing the double alignment support base of FIG. 47, in which the coated abrasive is rotated 90 degrees out of phase with the support such that almost all openings of the coated abrasive correspond to at least one of the external spirals of the support base. [0062] FIG. 54 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, overlapping the double alignment support base of FIG. 47, in which the coated abrasive is rotated 135 degrees out of phase with the support such that no opening of the coated abrasive corresponds to any of the external spirals of the support base. [0063] FIG. 55 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, overlapping the double alignment support base of FIG. 47, in which the coated abrasive is rotated 180 degrees out of phase with the support such that almost all openings of the coated abrasive correspond to at least one of the external spirals of the support base. [0064] FIG. 56 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, overlapping the double alignment support base of FIG. 47, in which the coated abrasive is rotated 225 degrees out of phase with the support such that no opening of the coated abrasive corresponds to any of the external spirals of the support base. [0065] FIG. 57 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, overlapping the double alignment support base of FIG. 47, in which the coated abrasive is rotated 270 degrees out of phase with the support such that almost all openings of the coated abrasive correspond to at least one of the external spirals of the support base. [0066] FIG. 58 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, superimposing the double alignment support base of FIG. 47, in which the coated abrasive is rotated 315 degrees out of phase with the support such that no opening of the coated abrasive corresponds to any of the external spirals of the support base. [0067] FIG. 59 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, overlapping the double alignment support base of FIG. 47, in which the coated abrasive is rotated 0 degrees out of phase with the support such that almost all openings of the coated abrasive correspond to at least one of the external spirals of the support base. [0068] The use of the same reference symbols in different drawings indicates similar or identical items. DETAILED DESCRIPTION [0069] In one embodiment, an abrasive article is composed of a coated abrasive having a plurality of holes (hereinafter also called "perforations" or "openings"), arranged in a pattern, having a non-uniform controlled distribution. The opening pattern can be any pattern having a controlled non-uniform distribution, including a radial pattern, a spiral pattern, a phyllotactic pattern, an asymmetric pattern or combinations thereof. The pattern can be partially, substantially, or totally asymmetric. The pattern can cover (ie be spread over) the entire abrasive article, it can cover substantially the entire abrasive article (i.e., more than 50% but less than 100%), it can cover multiple portions of the abrasive article, or it can cover only part of the abrasive article. [0070] A "non-uniform" controlled distribution means that the opening pattern has a controlled asymmetry (ie, a controlled randomness), such that, although the distribution of the openings can be described by or predicted by, for example, a radial, spiral or phylotaxic equation, the opening pattern still has at least partial to complete asymmetry. [0071] Controlled asymmetry can be controlled reflex asymmetry (also called mirror symmetry, line symmetry and bilateral symmetry), controlled rotation asymmetry, controlled translational symmetry, controlled sliding reflection symmetry or combinations thereof. An example of a non-uniform distribution can be demonstrated by a radial, spiral, or phylotaxic opening pattern having a rotational symmetry of an order of one, that is, such an opening pattern has no rotational symmetry, because the opening pattern it is repeated only once during a 360 ° rotation about its center. In other words, if two copies of the same exact pattern are placed directly on top of one another and one copy is kept constant while the second copy is rotated 360 ° about its center, all openings of both copies come into alignment at once during 360 ° rotation. [0072] Normally, all openings in an opening pattern (that is, the entire pattern) will have a controlled asymmetry. However, it is contemplated that opening patterns according to the present modalities also include opening patterns, where only a part of the total number of openings in the opening pattern (i.e., a part of the pattern) has a controlled asymmetry. This can occur, for example, by combining, or replacing, a part of a uniformly distributed pattern, or a completely random pattern, with a pattern having controlled a controlled non-uniform distribution, such that only a part of the openings of the resulting pattern of opening has a controlled non-uniform distribution. The share of total openings that have a non-uniform controlled can be quantified as a discrete number, or as a fraction, percentage or ratio of the total number of openings in the opening pattern. In an embodiment, at least 50%, at least 55%, at least 60%, at least 65%, at least 70%, at least 80%, at least 85%, at least 90%, at least 95%, at least 96%, at least 97%, at least 98%, at least 99%, at least 99.5%, at least 99.9% of the openings in the opening pattern have a controlled asymmetry. The aperture portion of the aperture pattern having a controlled asymmetry can be within a range that includes any pair of previous upper and lower limits. In a given embodiment, approximately 50% to approximately 99.9%, approximately 60% to approximately 99.5%, approximately 75% to approximately 99% of the opening pattern has a non-uniform controlled distribution. [0073] In another embodiment, the opening pattern has controlled asymmetry over at least approximately 5 openings, at least approximately 10 openings, at least approximately 15 openings, at least approximately 20 openings, at least approximately 25 openings or at least approximately 50 openings. In another embodiment, the opening pattern has a controlled asymmetry of no more than approximately 100,000 openings, no greater than approximately 10,000 openings, no greater than approximately 5,000 openings, no greater than approximately 2,500 openings, no greater than approximately 1,000 openings , not greater than approximately 750 openings, or not greater than approximately 500 openings. The number of openings having a controlled asymmetry can be within a range that includes any pair of the previous upper and lower limits. [0074] As stated above, an opening pattern of this modality can be any pattern having a controlled non-uniform distribution, including a radial pattern, a spiral pattern, a phyllotactic pattern, an asymmetric pattern or combinations thereof. A radial pattern can be any pattern that appears to radiate from a central point, such as spokes from the center of a wheel. [0075] In one embodiment, a spiral pattern can be any curve, or set of curves, that emanates from a central point in the abrasive article and progressively extends further away as it rotates around the central point. The central point can be located at or near the center of the abrasive article, or alternatively, away from the center of the abrasive article. There can be a single spiral or multiple spirals (that is, a plurality of spirals). Spirals can be discrete or continuous, separated or joined together. Separate spirals can emanate from different central points (ie, fall spiral has its own central point), can emanate from a common central point (ie fall spiral shares a central point), or their combinations. Spiral patterns can include: an Archimedes spiral; an Euler spiral, a Cornu spiral or a clothoid; a Fermat spiral; a hyperbolic spiral; a Lithuanian spiral; a logarithmic spiral; a Fibonacci spiral; a golden spiral; or their combinations. [0076] In one embodiment, the pattern can be a phylotaxic pattern. As used here, "a phylotaxic pattern" means a pattern related to phyllotaxis. Phyllotaxis is the arrangement of Organs lateral organs such as leaves, flowers, scales, florets and seeds in many types of plants. Many philotaxic patterns are marked by the natural phenomenon of conspicuous patterns with arcs and spirals. The seed pattern on a sunflower's head is an example of this phenomenon. As shown in FIG. 2 and in FIG. 3, several arcs or spirals, also called parastychia, can have their origin at a central point (C) and travel outwards, while other spirals originate to fill the gaps left by the internal spiral. See Systematic Study A of Philotaxis of Jean in plant morphogenesis on p. 17. Spiral pattern arrangements can often be seen radiating outward in a clockwise and counterclockwise direction. As shown in FIG. 3, these types of patterns have visibly opposite pairs of parastychia that can be indicated by (m, n), where the number of spirals or arcs at a distance from the central point radiating clockwise is "m" and the number of spirals or arcs radiating counterclockwise is "n". In addition, the angle between two consecutive spirals or arcs at its center is called the "d" divergence angle. It has been surprisingly discovered by the inventors that phyllotaxic patterns are useful in creating new opening patterns for abrasive articles, in particular coated abrasive articles. [0077] In one embodiment, the opening pattern has a number of spirals clockwise and a number of spirals anti-clockwise, where the number of spirals clockwise and the number of spirals anti-clockwise are Fibonacci numbers or multiples of Fibonacci numbers. In a given modality, the number of spirals clockwise and the number of spirals counterclockwise is, as a pair (m, n): (3, 5), (5, 8), (8, 13) , (13, 21), (21, 34) (34, 55), (55, 89), (89, 144) or a multiple of such pairs. In another embodiment, the number of spirals clockwise and the number of spirals counterclockwise are Lucas numbers or multiples of Lucas numbers. In a given mode, the number of spirals clockwise and the number of spirals counterclockwise is, as a pair (m, n): (3, 4), (4, 7), (7, 11) , (11, 18), (18, 29), (29, 47), (47, 76), or (76, 123), or a multiple of such pairs. In another embodiment, the number of spirals in the clockwise direction and the number of spirals in the anti-clockwise direction are any numbers in a relationship that converges into the golden ratio, where the golden ratio is equal to the sum of one plus the square root of five, divided by two (1 + 5) / 2, which is approximately equal to 1.6180339887. In a particular embodiment, the ratio of the spirals clockwise to the spirals counterclockwise is approximately equal to the golden ratio. [0078] As already mentioned above, it has been observed in nature that the seeds of the sunflower plant are arranged in a phylotaxic spiral pattern. In one embodiment, the opening pattern is a sunflower pattern. [0079] The sunflower pattern has been described by the Vogel model, which is a type of "Fibonacci spiral", or a spiral in which the angle of divergence between successive points is a fixed angle of Fibonacci that approximates the golden angle, which is equal to 137,508 °. [0080] FIG. 4 illustrates the Vogel model, which is: Φ = n * α, r = c n (Eq. 1) where: right is the number of orders for a floret, counting from the center to the outside; Φis the angle between a reference direction and a position vector of the nth floret in a polar coordinate system, originating in the center of the chapter, such that the angle of divergence between the position vectors of any two successive florets is a constant angle , and with respect to the sunflower pattern, at 137,508 °; aft the distance between the center of the chapter and the center of the nth floret; and c is a constant scale factor. [0081] In one embodiment, the opening pattern is described by the Vogel model or a variation of the Vogel model. In a particular embodiment, the opening pattern is described by the Vogel model where: n is the order number of an opening, counting out from the center of the opening pattern; Φ is the angle between a reference direction and a position vector of the nth opening in a polar coordinate system, originating in the center of the opening pattern, such that the angle of divergence between the position vectors of any two successive openings is a constant angle α; r is the distance between the center of the opening pattern and the center of the umpteenth opening; and c is a constant scale factor. [0082] As indicated above, all, substantially all, or a portion of the openings in the opening pattern will be described by (ie, according to) the Vogel model. In one embodiment, all openings in the opening pattern are described by the Vogel model. In another embodiment at least 50%, at least 60%, at least 70%, at least 80%, at least 90%, at least 95%, at least 99% of the openings are described by the Vogel model. [0083] The inventors surprisingly found that phyllotaxic patterns are useful in creating new opening patterns that improve the performance of abrasive articles, including fixed abrasive articles, such as bonded abrasive articles and coated abrasive articles. In particular, phyllotaxic patterns are useful in creating new opening patterns for coated abrasive articles. Philotaxic opening patterns help solve competing problems to achieve a high rate of surface material removal while still achieving acceptable surface quality, reducing the amount of chip loading on the abrasive surface and maintaining high durability and long tool life abrasive. This is surprising, in part, at least in the following respects. First, the phylotaxic opening patterns of the present modalities unexpectedly provide superior chip removal coverage and have a more complete distribution of the chip extraction locations (i.e. openings) on the abrasive face compared to the abrasive's opening patterns. state of the art, even when having a total opening area less than the total opening area of a state of the art opening pattern. According to the phylotaxic opening patterns of the present modalities unexpectedly provide at least comparable abrasive performance to superior (for example, cutting of accumulated material) compared to state of the art opening patterns, with and without vacuum application, even when the area total abrasive is lower than the opening standards of the prior art. Third, phylotaxic patterns of the present embodiments can unexpectedly provide an increase in the abrasive area compared to prior art opening patterns even while still providing opening coverage that is more complete than the prior art opening patterns. In addition, as discussed in more detail later, the application, effectiveness and performance of the present modalities can be further enhanced when paired with a cooperative support base and vacuum system. [0084] It will be appreciated that important aspects of the design design of the opening pattern for coated abrasive articles include the percentage of the total abrasive surface area, the percentage of the total area dedicated to the openings (ie the opening area); the ratio of the abrasive surface area to the opening area, the predicted opening area coverage of the abrasive article is in use (eg rotation in an orbital sander, oscillation in a sheet sander, continuous lateral movement in a sander of rollers), the scale factor, the number of openings, the angle of divergence between the openings, the size of the openings, the distance between adjacent openings and the distance between the outermost openings and the edge or edges of the coated abrasive article. [0085] Abrasive wheel sizes [0086] There are several sizes of abrasives that are commonly used in industry and by commercial consumers that typically range from approximately fractions of an inch in diameter to feet in diameter. The present opening patterns are suitable for use on abrasives of any size, including various standard sizes of abrasive discs (for example, 3 inches to 20 inches). In one embodiment, the abrasive article is a circular disc with a diameter of at least approximately 0.25 inches, at least approximately 0.5 inches, at least approximately 1.0 inches, at least approximately 1.5 inches, at least approximately 2.0 inches, at least approximately 2.5 inches or at least approximately 3.0 inches. In another embodiment, the abrasive article is a circular disc, with a diameter no greater than approximately 72 inches, no greater than approximately 60 inches, no greater than approximately 48 inches, no greater than approximately 36 inches, no greater than approximately 24 inches, no greater than approximately 20 inches, no greater than approximately 18 inches, no greater than approximately 12 inches, no greater than approximately 10 inches, no greater than approximately 9 inches, no greater than approximately 8 inches, no greater than approximately 7 inches, or no greater than approximately 6 inches. In another embodiment, the abrasive article has a size in the range of approximately 0.5 inches in diameter to approximately 48 inches in diameter, approximately 1.0 inches in diameter to approximately 20 inches in, approximately 1.5 inches in diameter to approximately 12 inches in diameter. [0087] Potential total surface area [0088] The size and shape of the abrasive article determines the total potential surface area of the abrasive article. For example, an abrasive disc 1 inch in diameter has a total potential surface area of 0.7854 in2. As another example, a rectangular abrasive sheet measuring 2 inches by 3 inches would have a potential total surface area of 6 inches. [0089] Total opening area [0090] The total opening area affects the amount of chip extraction. Typically, as the amount of opening area increases, the amount of chip extraction increases, which tends to maintain, or sometimes improve, the rate of removal of abrasive material from the article (i.e. "cut" rate) during use. However, increasing the amount of opening area also directly reduces the amount of available abrasive area, which, at some point, will reduce the rate of material removal. In one embodiment, the total opening area is equal to the sum of the area of all openings in the face of the abrasive article. In one embodiment, the total opening area is at most approximately 0.5% of the total potential surface area for the abrasive article, at least approximately 0.75%, at least approximately 1.0%, at least approximately 1.25 %, at least approximately 1.5%, at least approximately 1.75%, at least approximately 2.0%, at least approximately 2.25%, at least approximately 2.5%, or at least approximately 3.0% . In another modality, the total opening area is no greater than approximately 50%, no greater than approximately 45%, no greater than approximately 40%, no greater than approximately 35%, no greater than approximately 30%, not greater than approximately 25%, not greater than 20%, not greater than approximately 15%, or not greater than approximately 12%. The amount of total opening area can be within a range that includes any pair of the previous upper and lower limits. In another embodiment, the total opening area ranges from approximately 0.5% to approximately 35%, approximately 1.0% to approximately 25%, approximately 1.5% to approximately 15%, or approximately 2.0% to approximately 10 %. In a given modality, the amount of total opening area is in the range of approximately 2.5% to approximately 10%. The total opening can be considered as a discrete quantity instead of a percentage. For example, a five-inch abrasive wheel may have a total opening area ranging from approximately 0.0982 in2 to approximately 9.8175 in2. [0091] Total abrasive surface area [0092] The total area of the abrasive surface affects the amount of surface material removed. Typically, as the amount of total abrasive surface area is increased, the amount of material removed from the surface is increased. Also normally, as the amount of material removed from the surface is increased, the tendency for chips to accumulate is increased and the surface roughness tends to increase. In one embodiment, the total abrasive surface area of the coated abrasive is equal to the total potential surface of the abrasive article (i.e., the abrasive surface area if there were no openings) minus the total opening area (that is, the sum of the area all openings). Thus, the amount of total area of the abrasive surface can vary from approximately 50% to approximately 99.5% of the potential area of the total surface, depending on the desired amount of opening area. For example, a five-inch abrasive wheel may have a total abrasive surface area ranging from approximately 9.8175 in2 to approximately 19.5368 in2. [0093] Ratio of total opening area to total abrasive surface area [0094] In one embodiment, the ratio of the total opening area to the total abrasive surface area is at least approximately 1: 199, at least approximately 1:99, at least approximately 1: 65.7; at least approximately 1:49, or at least approximately 1:39. In another embodiment, the ratio of the total aperture area to the total abrasive area is not greater than approximately 1: 1: 9, not greater than approximately 1: 2: 0, not greater than approximately 1: 2: 3, not greater than approximately 1: 3: 0, not greater than approximately 1: 3.5, not greater than approximately 1: 4: 0, not greater than 1: 5: 7, not greater than approximately 1: 9: 0. The ratio of the total aperture area to the total abrasive area can be within a range that includes any pair of previous upper and lower limits. In another embodiment, the ratio of total aperture area to total abrasive area ranges from approximately 1:99 to approximately 1: 1.9, approximately 1: 65.7 to approximately 1: 2.-0, approximately 1: 39.0 to approximately 1: 3.0, or approximately 1: 32.3 to approximately 1: 5.7. In a given embodiment, the ratio of the total opening area to the total abrasive surface area is in the range of approximately 1: 65.7 to 1: 9.0. [0095] Number of openings [0096] The number of openings influences the total amount of opening area and the amount of total abrasive area. In addition, the number of openings affects the density and distribution of the opening cover on the surface of the abrasive article, which in turn directly affects the chip extraction efficiency of the abrasive article. In one embodiment, the number of openings is at least approximately 5, at least approximately 10, at least approximately 15; at least approximately 18, or at least approximately 21. In another embodiment, the number of openings is not greater than approximately 100,000, not greater than approximately 50,000, not greater than approximately 10,000, not greater than approximately 1,000, not greater than than approximately 800, not greater than approximately 750, not greater than approximately 600, not greater than approximately 550. The number of openings may be within a range that includes any pair of the upper and lower limits above. In another embodiment, the number of openings ranges from approximately 21 to approximately 10,000; approximately 25 to approximately 1,000; approximately 30 to approximately 750; or approximately 35 to approximately 550. In a given embodiment, the number of openings is in the range of approximately 21 to approximately 550. [0097] Angle of divergence [0098] Increasing or decreasing the divergence angle affects how the openings are placed within the pattern and the shape of the spirals in a clockwise and counterclockwise direction. The angle of divergence is equal to 360 ° divided by a constant or variable value, so the angle of divergence can be a constant value or can vary. It has been observed that small changes in the divergence angle can significantly change the opening pattern. FIG. 5a, FIG. 5b and FIG. 5C show phylotaxic patterns that differ only in the value of the angle of divergence. The angle of divergence for FIG. 5a is 137.3 °. The angle of divergence for FIG. 5b is 137.5 °. The angle of divergence for FIG. 5C is 137.6 °. In one embodiment, the angle of divergence is at least approximately 30 °, at least approximately 45 °, at least approximately 60 °; at least approximately 90 °, or at least approximately 120 °. In another embodiment, the divergence angle is less than 180 °, not greater than approximately 150 °. The angle of divergence can be within a range that includes any pair of previous upper and lower limits. In another embodiment, the angle of divergence varies from approximately 90 ° to approximately 179 °, approximately 120 ° to approximately 150 °, approximately 130 ° to approximately 140 °, or approximately 135 ° to approximately 139 °. In one embodiment, the angle of divergence is determined by dividing 360 ° by an irrational number. In a given modality, the angle of divergence is determined by dividing 360 ° by the golden ratio. In a given embodiment, the angle of divergence is in the range of approximately 137 ° to approximately 138 °, as approximately 137.5 ° to approximately 137.6 °, as approximately 137.50 ° to approximately 137.51 °. In a given mode, the divergence angle is 137.508 °. [0099] Distance from the edge of the abrasive [00100] Depending on the geometry of the abrasive article and its intended use, the total dimensions of the opening pattern can be determined. The distance between the center of the pattern for the outermost openings may extend a distance coincident with the end of the abrasive article. Thus, the edges of the outermost openings may extend to or cross the edge of the abrasive article. Alternatively, the distance between the center of the pattern to the outermost openings can extend a distance that allows a certain amount of space between the edges of the outermost openings and the edge of the abrasive article to be free of openings. The minimum distance from the edges of the outermost openings can be specified as desired. In one embodiment, the minimum distance from the edges of the outermost openings to the outer edge of the abrasive article is a specific distance, identified as a discrete length, or as a percentage of the length of the face of the abrasive article over which the opening pattern appears. In one embodiment, the minimum distance from the edges of the outermost openings to the outer edge of the abrasive article may be at least zero (that is, the edge of the outermost openings intersect or are co-terminus with the edge of the abrasive article) that vary approximately 15% of the face length of the abrasive article. [00101] Size of Openings [00102] The size of the openings is determined, at least in part, by the total desired amount of opening area for the abrasive article. The size of the openings may be constant throughout the pattern or may vary within the pattern. In one embodiment, the size of the openings is constant. In another embodiment, the size of the openings varies with the distance between the openings in the center of the pattern. [00103] Scale factor [00104] The scale factor influences the overall size and dimensions of the opening pattern. The scale factor can be adjusted so that the edges of the outermost openings are within a desired distance from the outer edge of the abrasive article. [00105] Distance between the nearest adjacent openings [00106] Together with consideration for the number and size of the openings, the distance between the centers of the nearest adjacent openings can be determined. The distance between the centers of any two openings is a function of the other opening design considerations. In one embodiment, the shortest distance between the center of any two openings is never repeated (that is, the hole-by-hole spacing is never the same exact distance). This type of spacing is also an example of controlled asymmetry. [00107] Opening pattern coverage - acceptable quantities of anomalies [00108] It will be evident that an opening pattern does not need to be applied to an abrasive article in its entirety or continuously. Portions of an opening pattern can be applied or ignored such that several divisions or sectors of the face of the abrasive article do not support the complete opening pattern. In one embodiment, a half, a third, a quarter, a fifth, a sixth, an eighth, a tenth of the opening pattern can be ignored. In another embodiment, the opening pattern can be applied to only one or more concentric annular regions of the abrasive article. In another embodiment, it is possible to ignore one or more of the openings that normally appear in the series of openings along individual arcs or spiral arms of the opening pattern. In one embodiment, each umpteenth opening, or multiple of each umpteenth opening, could be ignored. In another embodiment, individual openings, groups of openings or openings according to a specific numerical series can be ignored. On the other hand, it is also possible to include a number of openings in addition to the opening pattern. The addition or subtraction of openings can be considered anomalies to the opening pattern, and a certain amount of anomalies to the pattern, more or less, may be acceptable. In one embodiment, an acceptable amount of anomalies for the opening pattern can vary from 0.1% to 10% of the total opening area of the abrasive article. [00109] Shape of the openings [00110] The amount of coverage can be influenced by the shape of the openings. The shape of the openings can be regular or irregular. In one embodiment, the shape of the openings can be in the form of slits, regular polygons, irregular polygons, ellipsoids, circles, arcs, spirals, channels or combinations thereof. In a given modality, the openings are in the shape of a circle. In another embodiment, the shape of the opening may be in the form of one or more slits, where several slits intersect. FIG. 6A-F shows examples of such slit-like openings. The slits are configured such that if a vacuum is applied to the back of the abrasive article, the flaps created by the slits will bend, creating open, polygon-like openings that may have slightly arched edges. It is believed that chip removal will be promoted by folding back flaps, because it will guide chips directly to the vacuum system and prevent the chips from dragging into any open fibrous layers, such as layers of hook and loop material, which can be attached to the back of the abrasive article. [00111] Manufacturing method - Openings [00112] The openings can be created using standard conversion techniques, including stamping, cutting, laser cutting or their combinations. In one embodiment, the openings are cut. In another embodiment, the openings are laser cut. [00113] Shape of the abrasive article [00114] The shape of the abrasive article can be any shape that will accommodate the desired opening pattern and will be dictated by the intended abrasive process and construction materials. In one embodiment, the abrasive article is a bonded abrasive article. In another embodiment, the abrasive article is a coated abrasive article. In a particular embodiment, the abrasive article is one of a circular sheet, belt or disc. [00115] FIG. 1 shows a top view of an embodiment of a coated abrasive article 100 with a plurality of openings 101 arranged in a pattern having a non-uniform distribution. The coated abrasive is in the form of a substantially planar circular (that is, generally flat) disk. [00116] FIG. 7 shows a side view of a coated abrasive article 700, including a protective coating 701 having a first main surface 703 and a second main surface 705. An abrasive layer 707 is arranged on the first main surface of the support. The abrasive layer can comprise several layers, including a layer of binder 709, also called a first coating. A plurality of abrasive grains 711 can be dispersed within, penetrating or resting on the binder layer or combinations thereof. A pattern of openings 713 (i.e. holes) perforates all layers of the abrasive article. A second coating 715 can optionally be arranged on the binder layer. A third coating (not shown) can be disposed on the second coating. A backing 717 can be arranged on the second main surface (i.e., the back) of the backing layer. A fixing layer 719 can be arranged on the back cover, or alternatively it can be directly arranged on the second main side of the support. In a particular embodiment, the coated abrasive article 700 can optionally be attached to a vacuum system or a support base (not shown). [00117] Support [00118] Support 701 can be flexible or rigid. The support can be made of any number of various materials, including those conventionally used as supports in the manufacture of coated abrasives. An exemplary flexible backing includes a polymeric film (for example, a primed film), such as polyolefin film (for example, polypropylene including biaxially oriented polypropylene), polyester film (for example, polyethylene terephthalate), polyamide film or polyamide film cellulose ester; sheet metal; mesh; foam (e.g., natural spongy material or polyurethane foam); fabric (for example, fabric made of fibers or yam, composed of polyester, nylon, silk, cotton, poly-cotton or viscose); paper; vulcanized paper; vulcanized rubber; vulcanized fiber; non-woven materials; a combination of them; or a treated version of them. Cloth supports can be woven or bonded seams. In particular examples, the support is selected from the group consisting of paper, polymer film, fabric, cotton, poly-cotton, viscose, polyester, poly-nylon, vulcanized rubber, vulcanized fiber, sheet metal and a combination thereof. In other examples, the backing includes the polypropylene film or polyethylene terephthalate (PET) film. [00119] The support 701 can optionally have at least one of a saturant, a base layer or a back layer. The purpose of these layers is typically to seal the backing or to protect the strands or fibers in the backing. If the backing is a cloth material, at least one of these layers is normally used. The addition of the base layer or back layer may additionally result in a "smoother" surface in front of or behind the support. Other optional layers known in the art can also be used (for example, an adhesive, see U.S. Pat. No. 5,700,302 (Stoetzel et al.), The relevant disclosure of which is incorporated by reference here. [00120] An antistatic material can be included in a cloth treatment material. The addition of an antistatic material can reduce the tendency of the coated abrasive article to accumulate static electricity when sanding wood or wood-like materials. Additional details on antistatic supports and supportive treatments can be found in, for example, U.S. Pat. No. 5,108,463 (Buchanan et al.); 5,137,542 (Buchanan et al.); 5,328,716 (Buchanan); and 5,560,753 (Buchanan et al.), whose disclosures are hereby incorporated by reference. [00121] The support may be a fibrous reinforced thermoplastic, such as described, for example, in U.S. Pat. No. 5,417,726 (Stout et al.), Or a seamless belt without an edge, as described, for example, in U.S. Pat. No. 5,573,619 (Bento et al.), Whose disclosures are incorporated here by reference. Likewise, the backing can be a polymeric substrate with hooked rods projecting from there, as described, for example, in U.S. Pat. No. 5,505,747 (Chesley et al), the disclosure of which is incorporated herein by reference. Likewise, the backing can be a loop fabric as described, for example, in U.S. Pat. No. 5,565,011 (Follett et al), the disclosure of which is incorporated herein by reference. [00122] Abrasive layer [00123] The abrasive layer 707 can be formed of one or more layers and a plurality of abrasive grains. For example, the abrasive layer includes a first coating 709 and can optionally include a first second coating 715 or a first third coating. Abrasive layers generally include abrasive grains 711 arranged in, embedded within, dispersed, or combinations thereof, in a binder. [00124] Abrasive Grains [00125] Abrasive grains 711 can include essentially single-phase inorganic materials, such as alumina, silicon carbide, silica, cerium oxide, and harder, high-performance superabrasive grains such as boron and diamond cubic nitride. In addition, abrasive grains can include composite particle materials. Such materials can include aggregates, which can be formed through pulp processing pathways that include removal of the liquid carrier through volatilization or evaporation, leaving green aggregates behind, optionally followed by a high temperature treatment (ie burning) to form useful aggregates. In addition, abrasive regions can include processed abrasives, including macrostructures and particular three-dimensional structures. [00126] In an exemplary embodiment, the abrasive grains are mixed with the binder formulation to form the abrasive paste. Alternatively, the abrasive grains are applied to the binder formulation after the binder formulation is coated on the backing. Optionally, a functional powder can be applied over the abrasive regions to prevent the abrasive regions from being adhered to a standardization tool. Alternatively, patterns can be formed in the abrasive regions without the functional dust. [00127] Abrasive grains can be formed from any one or a combination of abrasive grains, including silica, alumina (molten or sintered), zirconia, zirconia / alumina oxides, silicon carbide, garnet, diamond, cubic boron nitride, silicon nitride, cerium oxide, titanium dioxide, titanium diboride, boron carbide, tin oxide, tungsten carbide, titanium carbide, iron oxide, chromium oxide, flint, emery. For example, abrasive grains can be selected from a group consisting of silica, alumina, zirconia, silicon carbide, silicon nitride, boron nitride, garnet, diamond, co-fused zirconia alumina, cerium oxide, titanium diboride, carbide boron, flint, emery, alumina nitride and a mixture of them. Particular modalities were created by the use of dense abrasive grains, composed mainly of alpha-alumina. [00128] The abrasive grain can also have a specific shape. An example of such a shape includes a rod, a triangle, a pyramid, a cone, a solid sphere, a hollow sphere or the like. Alternatively, the abrasive grain can be shaped at random. [00129] In one embodiment, abrasive grains may have an average grain size of no more than 800 microns, such as no greater than approximately 700 microns, no greater than 500 microns, no greater than 200 microns, or no greater than 100 microns. In another embodiment, the abrasive grain size is at least 0.1 microns, at least 0.25 microns, or at least 0.5 microns. In another embodiment, the size of abrasive grains is approximately 0.1 microns to approximately 200 microns and more generally from approximately 0.1 microns to approximately 150 microns or approximately 1 micron to approximately 100 microns. Typically, the grain size of the abrasive grains is specified to be the largest dimension of the abrasive grain. There is usually a distribution of grain sizes. In some cases, the grain size distribution is tightly controlled. [00130] First coating - Binder [00131] The binder of the first coating or the second coating can be formed by a single polymer or a mixture of polymers. For example, the binder can be formed from epoxy, acrylic polymer or a combination of these. In addition, the binder can include filler, such as the nanometer filler or a combination of nanometer filler and micro filler. In a given embodiment, the binder is a colloidal binder, in which the formulation that is cured to form the binder is a colloidal suspension including particle filling. Alternatively, or in addition, the binder can be a nanocomposite binder including sub micron particle filler. [00132] The binder usually includes a polymer matrix, which bonds the abrasive grains to the compatible backing or coating, if present. Usually, the binder is formed from cured binder formulation. In an exemplary embodiment, the binder formulation includes a polymer component and a dispersed phase. [00133] The binder formulation can include one or more reaction components or polymer constituents for the preparation of a polymer. A polymer constituent can include a monomeric molecule, a polymeric molecule or a combination thereof. The binder formulation may further include components selected from the group consisting of solvents, plasticizers, chain transfer agents, catalysts, stabilizers, dispersants, curing agents, reaction mediators and agents to influence the fluidity of the dispersion. [00134] The polymer components can form thermoplastics or thermosets. As an example, polymer constituents may include monomers and resins for the formation of polyurethane, polyurea, polymerized epoxy, polyester, polyamide, polysiloxanes (silicones), polymerized alkyd, styrene-butadiene rubber, acrylonitrile-butadiene rubber, polybutadiene , or, in general, reactive resins for the production of thermoset polymers. Another example includes an acrylate or a methacrylate polymer constituent. The precursor polymer constituents are usually curable organic material (i.e., a polymer monomer or material capable of polymerization or crosslinking after exposure to heat or other energy sources, such as the electron beam, visible light, ultraviolet light, etc. ., or over time, by adding a chemical catalyst, moisture or other agent that causes the polymer to cure or polymerize). An example of precursor polymer constituents includes a reactive constituent for the formation of an amino acid polymer or an aminoplastic polymer, such as alkylated urea-formaldehyde polymer, melamine-formaldehyde polymer and alkylated benzoguanamine-formaldehyde polymer; acrylate polymer including acrylate and methacrylate polymer, alkyl acrylate, epoxy acrylate, acrylated urethane, acrylated polyester, acrylated polyether, vinyl, acrylated oil or acrylated silicone; alkyd polymer, such as alkyd urethane polymer; polyester polymer; reactive urethane polymer; phenolic polymers such as resol and novolac polymer; latex / phenolic polymer; epoxy polymers, such as bisphenol epoxy polymers; isocyanate; isocyanurate; silicone polymer including alkylalkoxy polymer; or reactive vinyl polymer. The binder formulation can include a monomer, an oligomer, a polymer or a combination thereof. In a given embodiment, the binder formulation includes monomers of at least two types of polymers that when cured can bind. For example, the binder formulation can include constituent epoxy and acrylic components which, when cured, form an acrylic epoxy polymer. [00135] Additives - Grinding Agent [00136] The abrasive layer can also include a grinding agent to increase the grinding efficiency and cut rate. A useful grinding agent can have an inorganic base, such as a halide salt, for example, sodium cryolite and potassium tetrafluorborate; or organic base, such as a chlorinated wax, for example, polyvinyl chloride. A particular embodiment includes cryolite and potassium tetrafluorborate with particle sizes ranging from 1 micron to 80 microns and more typically from 5 microns to 30 microns. The third coating can be a polymer layer applied over the abrasive grains to provide devitrification and anti-loading properties. [00137] Rear Coating - Compatible Coating [00138] The abrasive article coated optionally can include compatible and back coatings (not shown). These coatings can work as described above and can consist of binder compositions. [00139] Support base [00140] In one embodiment, a support base can encompass a plurality of airflow pathways arranged in a pattern. The pattern of airflow pathways comprises regular polygons, irregular polygons, ellipsoids, arcs, spirals, phylotaxic patterns or combinations thereof. The airflow path pattern comprises arched pathways that radiate, spiral pathways that radiate, or combinations thereof. The airflow path pattern may comprise a combination of spiral pathways that radiate inward and spiral pathways that radiate outward. The pattern of airflow pathways may encompass a combination of spiral pathways that radiate clockwise and spiral pathways that radiate counterclockwise. The airflow pathways can be discrete, or discontinuous, from each other. Alternatively, one or more of the airflow pathways can be fluidly connected. [00141] The number of arched paths that radiate ("arcs"), spiral paths that radiate or their combinations may vary. In one embodiment, the number of arched paths that radiate, spiral paths that radiate, or their combinations may not be greater than 1000, such as no greater than 750, no greater than 500, no greater than 250, no greater than 100, not greater than 90, not greater than 80, or not greater than 75. In one embodiment, the number of arcuate paths that radiate, spiral paths that radiate, or combinations thereof, may be equal to or greater than 2, not less than 3, not less than 5, not less than 7, not less than 9, not less than 11, not less than 15, or, not less than 20. In one mode, the number of arched paths radiating , radiating spiral paths or their combinations can be from 2 to 500, such as 2 to 100. [00142] In another embodiment, a support base may have an additional airflow path pattern, composed of an annular airflow path that intercepts the airflow pathways. In a specific embodiment, an annular airflow pathway can cross arched pathways that radiate or spiral pathways that radiate or combinations thereof. [00143] The air flow paths can vary in width. The width of the air flow paths can be constant or variable or their combinations. In one embodiment, the width of the airflow pathways can be within a fixed length range. In one embodiment, the width of the airflow paths can vary from 0.1 mm to 10 cm. In another embodiment, the width of the airflow paths will be related to the size of the openings of a coated abrasive with which the support base is being used. In one embodiment, the width of the airflow paths is not less than 1/10 the size of the coated abrasive openings, such as no less than 1/8, 1/6, 1/5, 1/4, 1 / 3 or 1/2 the size of the coated abrasive openings. In one embodiment, the width of the airflow pathways is not greater than 10 times greater than the openings of the coated abrasive, as not greater than 8 times, not greater than 6 times, not greater than 5 times, no greater than 4 times, not more than 3 times, not more than 2 times the size of the coated abrasive openings. In one embodiment, the width of the airflow paths is approximately equal to the size of the openings of the coated abrasive. [00144] The airflow pathways may have one or more cavities, holes, passages, holes, openings or combinations of them arranged together or within the airflow pathways, such as a branch of the airflow path, which extend through the body of the support base. In one embodiment, each airflow pathway will have at least one hole disposed within the airflow pathway that extends through the body of the support base. [00145] It will be appreciated that support bases designed to correspond to abrasives coated with controlled non-uniform openings distributions can be used successfully in conjunction with conventional coated abrasives, as well as a certain abrasive coated with controlled non-uniform openings distributions. Surprisingly, the inventors have found that support base modes can provide superior chip removal and promote better abrasive performance for conventional abrasives. [00146] In one embodiment, the support base may have a pattern of airflow paths cooperatively adapted to operate with coated abrasives, having a controlled non-uniform distribution pattern. As mentioned earlier, such a support can be used in conjunction with a conventional perforated coated abrasive to promote abrasive performance and chip removal. [00147] In one embodiment, a support base may include an airflow path pattern, in which the airflow path pattern is generated from the x and y coordinates of a controlled non-uniform distribution pattern. The controlled non-uniform distribution pattern used to generate the backing airflow pattern can be the same or different from the coated abrasive opening pattern used with the backing base. In one embodiment, the controlled pattern of non-uniform distribution is the same as the opening pattern of the coated abrasive, being used with the support base. In another embodiment, the controlled pattern of non-uniform distribution is different from the opening pattern of the coated abrasive used with the support base. [00148] In one embodiment, a support base can be cooperatively adapted to operate with abrasives coated with phylotaxic standards according to the modalities of coated abrasives described here. A support base is cooperative with an abrasive coated with phylotaxic patterns when the support base includes a plurality of openings, a plurality of cavities, a plurality of channels, a plurality of passages, or combinations of these, which are configured in a pattern that aims promote suction and the removal of chips away from the work surface during the abrasion process through openings of a coated abrasive, with a phylotaxic pattern. The openings, cavities, channels, passages or their combinations can define airflow pathways that are located along, inside, or through the Support Base, or their combinations. Airflow pathways promote improved suction and chip removal through openings of a coated abrasive and away from the work surface during the abrasion process. In one embodiment, the pattern of openings, cavities, channels, passageways or combinations thereof may be in the form of regular polygons, irregular polygons, ellipsoids, arcs, spirals, phylaxic patterns or combinations thereof. In another embodiment, the pattern of airflow pathways may be in the form of regular polygons, irregular polygons, ellipsoids, arcs, spirals, philotaxic patterns or combinations thereof. [00149] In one embodiment, an appropriate spiral or phylotaxic pattern can be generated from the x and y coordinates of any phylotaxic opening pattern of the abrasive article modalities described above. In one embodiment, the x and y coordinates of a phyllotaxic or spiral pattern are transposed and rotated to determine the x 'and y coordinates of the phylotaxic or spiral pattern of supporting airflow, where θ is equal to π / n in radians en is any integer, according to the following equation: [00150] The produced transposed and rotated coordinates (x 'and y') can be plotted, such as using CAD software, to generate an adequate airflow pattern, such as a phylotaxic or spiral pattern. Particular modalities of transposed phylotaxic patterns are shown in FIG. 9, 12, 15. [00151] Patterns can be used to define spiral and arched channels that radiate, as well as annular channels that can cross spiral and arched channels or combinations thereof. The annular, arched, spiral or combination channels can then be cut into a suitable material, such as in the form of grooves, cavities, holes, passages or other routes to form a cooperative support base. Particular modalities of channel patterns that are based on transposed phylaxic patterns are shown in FIG. 10, 13, 16. Additional modalities of the support bases based on transposed phylaxic patterns are shown in FIG. 28, 29, 30, 31, 32, 33, 46 and 47. [00152] In certain modalities, the airflow paths of the support base will partially correspond to totally the openings of the coated abrasive. It will be understood that an airflow path corresponds to an opening when at least part of the area of an opening coincides with, or is aligned with, a part of the airflow path. In one embodiment, the airflow pathways of the corresponding support base will coincide with at least 5%, at least 10%, at least 15%, at least 20%, at least 25% of the openings. In one embodiment, the airflow paths of the corresponding support base may correspond to at least 5%, at least 10%, at least 15%, at least 20%, at least 25%, at least 30%, at least 35%, at least 40%, at least 55%, at least 50%, at least 55%, at least 60%, at least 65%, at least 70%, at least 75%, at least 80%, at least 85%, at least 90%, at least 95% or at least 100% of the coated abrasive openings. [00153] It will be appreciated that certain phylotaxic and spiral airflow patterns of the support base will exhibit a certain quality of alignment with a coated abrasive opening pattern, particularly when the airflow pattern is based on a transposition and rotation of the coordinates of the coated abrasive openings. In one embodiment, the airflow pattern of the support base will correspond with most, almost all, openings of coated abrasives when the support base is at a particular stage, or degrees of rotation, in relation to coated abrasives. . A support base is said to be a single alignment support base (also called two-fold alignment) when the airflow paths of the support base coincide with the openings of the coated abrasive when the support is rotated 90 ° or 180 ° °, in comparison with the coated abrasive and a majority to almost all openings of the coated abrasive, coincide with at least one of the airflow pathways of the support base. FIG. 46 illustrates a modality of a single alignment support base. FIG. 48-51 shows an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, superimposing a single alignment support base of FIG. 46, in which the coated abrasive is rotated 90 ° out of phase, 180 ° out of phase, 270 ° out of phase and 0 ° out of phase with the support base, such that the openings of the coated abrasive alternate between none of the openings of the coated abrasive corresponding to any of the external spirals of the support base to have almost all openings of the coated abrasive corresponding to at least one of the external spirals of the support base. A double alignment support base (also called a 4-fold alignment) is illustrated in FIG. 47. FIG. 52-59 is an illustration of an embodiment of a coated abrasive having 442 openings (441 around a central opening) according to the Vogel equation, superimposing the double alignment support base of FIG. 47, in which the coated abrasive is rotated 45 °, 90 °, 135 °, 180 °, 225 °, 270 °, 315 ° and 0 ° out of phase with the support base. It is shown again that the openings of the coated abrasive alternate between none of the openings of the coated abrasive corresponding to any of the external spirals of the support base (45 °, 135 °, 225 °, and 315 °) to have almost all openings of the abrasive coated corresponding to at least one of the external spirals of the support base (90 °, 180 °, 270 °, and 0 °). [00154] In one embodiment, the support base can include or be adapted to include an alignment indicator. An alignment indicator can be a marking, device, notch, accessory, collar, protrusion or combination of these to indicate the degree of alignment of the support base with the coated abrasive. In a specific mode, the alignment indicator can be marked. [00155] Although described as cooperative with the modalities of the abrasive articles described in this document, such support bases can also be used with state of the art perforated coated abrasives. It has unexpectedly been found that support bases having a plurality of openings, a plurality of cavities, a plurality of channels, or combinations of these that form the appropriate phyllotactic or spiral pattern airflow pathways have improved chip removal, abrasive cut, and abrasive service life for state of the art standard perforated coated abrasives and abrasives coated with philotaxic perforation patterns. [00156] A support base can be flexible or rigid. The support base can be made of any number of various materials or combinations of materials, including those conventionally used in the manufacture of support bases. The support base can be made of single piece, unitary construction or multi-piece construction, such as multi-layer construction or concentric layer construction. The support base is preferably a resistant material such as flexible foam. Suitable foams can be polyurethane, polyester, urethane polyester, polyetherurethane; a natural or artificial rubber such as polybutadiene, polyisoprene, EPDM polymer, polyvinyl (PVC), neoprene or styrene / butadiene copolymer; or their combinations. The foam can be open or closed cell. Additives, such as coupling agents, curing agents, curing agents, antioxidants, reinforcing materials and the like can be added to the foam formulation to achieve the desired characteristics. Dyes, pigments, fillers, antistatic agents, fire retardants and curtains can also be added to the foam or other resistant material used to make the support base. [00157] Particularly useful foams include TDI (toluene diisocyanate) / polyester and MDI (methylene diphenyl diisocyanate) / polyester foams. In one embodiment, the support base is made of open cell polyurethane foam formed as a product of the reaction of a polyether polyol and an aromatic polyisocyanate. In another embodiment, the support base may be foam, vulcanized rubber or any combination thereof. [00158] Manufacturing method - coated abrasive article [00159] Turning to a method for making a coated abrasive article having an opening pattern, a support can be distributed from a roll, the support can be coated with a binder formulation dispensed from a coating apparatus. An exemplary coating apparatus includes a die drop applicator, a knife applicator, a coating curtain, a vacuum coating matrix or a matrix coating. Coating methodologies may include contact or non-contact methods. Such methods include 2 rollers, 3 reverse rollers, knife on roll, slot die, engraving, extrusion or spray coating applications. [00160] In a given embodiment, the formulation is a slurry that includes the formulation and abrasive grains. In an alternative embodiment, the binder formulation can be dispensed separately from the abrasive grains. Then, the abrasive grains can be supplied after coating the backing with the binder formulation, after partial curing of the binder formulation, after the standardization of the binder formulation or after the complete curing of the binder formulation. Abrasive grains can, for example, be applied by a technique, such as electrostatic coating, coating or mechanical projection. [00161] In another modality, the support, coated with the binder and abrasive grains, can be stamped, cut, laser cut or combinations of them to form the pattern of openings. The openings can be substantially free of support material, binder and abrasive grains. [00162] In another embodiment, the support can be selectively coated with a binder to leave uncoated regions that are then cut to form the openings. For example, the binder can be printed on the backing, such as screen printing, offset printing or flexo printing. In another example, the binder can be selectively coated using engraving coating, slot die coating, spray coating, or the like. Alternatively, a UV-curable or photoresist mask can be applied to the support and developed, such as by photolithography, to mask parts of the support. In another example, a release compound can be applied to the backing before applying the binder. [00163] Turning to a method of abrasion of a workpiece, the workpiece can come in contact with a coated abrasive. The coated abrasive can be rotated in relation to the workpiece. For example, the coated abrasive can be mounted on an orbital sander and come into contact with the workpiece. During abrasion of the workpiece, worn material from the workpiece can accumulate in the openings. The accumulated material can be ejected from the openings by the movement of the coated abrasive during use. Alternatively, a vacuum system can be equipped for the abrasive article, which includes a support base that is configured to work cooperatively with the abrasive article. EXAMPLES [00164] Example 1 - Efficiency of chip extraction [00165] The potential chip extraction efficiency of an abrasive disk opening pattern can be quantified by determining the average distance from an opening to any point on a theoretical surface defined by the rotation of the abrasive disk in a selected orbital. Abrasive surfaces (i.e., abrasive disc patterns) for comparative sample 1 (FIG. 20A) and inventive samples 1 to 3 (FIG. 20B-D) are shown in the upper portion of FIG. 20A-D. The average distance between an opening to any point on the theoretical surface defined by the rotation of the abrasive disc was determined using the simulation software. An orbital corresponding to an orbital pattern for a portable orbital sander was used. The average distances for each abrasive pattern were plotted as shown in the central portions of FIG. 20A-D. The average distances of an opening were plotted graphically as a function of the radius at the bottom of FIG. 20A-D and the area under the curve was integrated and the values for each opening pattern were compared. A lower integrated value indicates better opening coverage and, therefore, better chip extraction efficiency. All inventive opening patterns had a lower integrated value and, thus, a higher chip extraction efficiency than that of the comparative sample. This was surprising, considering that all samples have an almost equal amount of opening area. This indicates that the distribution of the openings on the surface of the abrasive disk is higher. Inventive sample 3 had a particularly dramatic decrease (93% reduction) in the integrated value. [00166] Comparative sample 1 was a MultiAir 5 "abrasive disc pattern with 125 holes. And an opening area (ie, removed area) of 10.5%. The maximum mean distance to any point of an opening was in one range of 3 to 4 mm.The average integrated distance of an opening was 49 mm2. [00167] Sample 1 was a Sunflower Vogel 5 "abrasive disk pattern with 150 holes and an opening area (ie removed area) of 10.7%. The maximum mean distance to any point of an opening was in an interval 2-3 mm.The average integrated distance of an opening was 33 mm2 (a 32% reduction). [00168] Sample 2 was a standard Sunflower Vogel 5 "abrasive disk with 250 holes and an opening area (ie removed area) of 10.8%. The maximum mean distance to any point of an opening was in an interval 1-2 mm.The average integrated distance of an opening was 11 mm2 (a reduction of 77%). [00169] Sample 3 was a Sunflower Vogel 5 "abrasive disk pattern with 350 holes and an opening area (ie removed area) of 10.7%. The maximum mean distance to any point of an opening was in one 1-2 mm range.The average integrated distance of an opening was 3 mm2 (a 93% reduction). [00170] Table 1 - Average integrated distance of an opening [00171] Example 2 - Improved extraction efficiency with improved abrasive area [00172] Additional inventive abrasive opening standards were examined for potential chip extraction efficiency using the same procedure as above. Abrasive disc patterns for comparative sample 1 (FIG. 21A) and inventive samples 1 to 3 (FIG. 21B-D) are shown in the upper portion of FIG. 21A-D. The average distances for each abrasive pattern were plotted as shown in the central portions of FIG. 21A-D. The average distances of an opening were plotted graphically as a function of the radius at the bottom of FIG. 20A-D. The area under the curve was integrated and the values for each opening pattern were compared. Surprisingly, all the inventive samples achieved a comparable to the best integrated value, even though they had an opening area that was 2.7% to 6.3% smaller than the comparative sample. This indicates that the distribution of the openings on the surface of the inventive abrasive discs is desirable because a very high chip extraction efficiency can be maintained while increasing the amount of available abrasive area. Inventive sample 3 had the most dramatic reduction in the integrated value, however, it also had the largest increase in the available abrasive area. [00173] Comparative sample 1 was a MultiAir 5 "abrasive disc pattern with 125 holes. And an opening area (ie removed area) of 10.5%. The maximum mean distance to any point of an opening was in one range of 3 to 4 mm.The average integrated distance of an opening was 49 mm2. [00174] Sample 1 was a Sunflower Vogel 5 "abrasive disk pattern with 148 holes and an opening area (ie, removed area) of 7.8% (2.7% increase in abrasive area). maximum mean for any point of an opening was in a range of 2-3 mm The integrated mean distance of an opening was 51 mm2 (4% increase). [00175] Sample 2 was a standard Sunflower Vogel abrasive disc with 246 holes and an opening area (ie, removed area) of 5.0% (5.5% increase in abrasive area). The maximum mean distance to any point in an opening was in the range of 2-3 mm. The average integrated distance of an opening was 32 mm2 (a reduction of 34%). [00176] Sample 3 was a Sunflower Vogel 5 "abrasive disk pattern with 344 holes and an opening area (ie removed area) of 3.7%. The maximum mean distance to any point of an opening was in one 1-2 mm range.The average integrated distance of an opening was 22 mm2 (a reduction of 55%). [00177] Table 2 - Average integrated distance of an opening Example 3 - Abrasive performance - with vacuum, non-specific support base [00178] 5-inch coated abrasive discs were tested by abrasion of a cast acrylic panel using a manual orbital sander. Each coated abrasive disc was moved in a straight line across the length of the cast acrylic panel. The amount of material removed was determined by measuring the weight of the cast acrylic panel before and after each grinding cycle using a scale. The average material removed was determined by adding the weight loss over six mills. The average material removal was determined by an average of more than three tests. [00179] The surface finish (Rz) of the cast acrylic panel was measured after the first grinding at three points along the length of the cut. The mean Rz was taken in three trials. [00180] FIG. 22 shows a graph comparing the cumulative cut and the surface finish for comparative sample 1 and three inventive samples. [00181] A comparison of coated abrasive discs, having a grain size of P1500 (average abrasive grain size of approximately 12.6 microns) was performed. Each test grind was performed for a duration of 30 seconds with a vacuum applied unless otherwise specified. A 54-hole Dynabrade support base ("hard" base) was used with all samples. [00182] Comparative sample 1 was a 5 "diameter Norton MultiAir disc with a P1500 grain size with 125 holes distributed in a grid pattern. The total amount of opening area was 10.5% of the disc. [00183] Sample 1 was a 5 "diameter abrasive disk with grain size P1500 and a phyllotactic opening pattern based on the Vogel equation. The number of openings was 150. The total amount of opening area was 10 , 5%. [00184] Sample 2 was the same as Sample 1, except that the number of openings was 250. The total amount of opening area was 10.8%. [00185] Sample 3 was the same as Sample 1, except that the number of openings was 350. The total amount of opening area was 10.7%. [00186] Table 3 - Abrasive performance [00187] Example 4 - Abrasive performance - with vacuum, non-specific support base [00188] FIG. 23 shows a graph comparing the cumulative cut and the surface finish for comparative sample 1 and three inventive samples. [00189] The abrasive performance test was performed the same as above in Example 3, except that a 125-hole Norton Multi-Air support base ("soft" base) was used with all samples. [00190] Comparative Sample 1 and Inventive Samples 1-3 were the same as above in Example 3. [00191] Table 4 - Abrasive Performance [00192] Example 5 - Abrasive performance - with vacuum, non-specific support base [00193] FIG. 24 shows a graph comparing the cumulative cut and the surface finish for comparative sample 1 and three inventive samples. [00194] The abrasive performance test was performed the same as above in Example 3, except that each of the six grinding cycles was for 2 minutes. [00195] Comparative Sample 1 and Inventive Samples 1-3 were the same as above in Example 3, except that an abrasive size of P80 (average abrasive grain size of approximately 201 microns) was used for all samples. [00196] Table 5 - Abrasive performance [00197] Example 6 - Abrasive performance - with vacuum, non-specific support base [00198] FIG. 25 shows a graph comparing the cumulative cut and the surface finish for comparative sample 1 and three inventive samples. [00199] The abrasive performance test was performed the same as above in Example 4, except that each of the six grinding cycles was for 2 minutes. [00200] Comparative Sample 1 and Inventive Samples 1-3 were the same as above in Example 4, except that an abrasive size of P80 (average abrasive grain size of approximately 201 microns) was used for all samples. [00201] Table 6 - Abrasive performance [00202] Example 7 - Abrasive performance - with vacuum, cooperative support base [00203] FIG. 26 shows a graph of material cut in progressive time intervals for Comparative Sample 1 and two inventive samples. [00204] The abrasive performance test was performed the same as above in Example 1, using six grinding cycles of 30 seconds each. Three repetitions were performed and the average value recorded. [00205] Comparative sample 1 was a 5 "diameter Norton MultiAir disc with a P1500 grain size with 125 holes distributed in a grid pattern. A MultiAir cooperative support base (" soft "base) was used together. Comparative sample 1 was a Norton MultiAir 5 "diameter disc with a P1500 grain size with 125 holes distributed in a grid pattern. [00206] Sample 1 was a 5 "diameter abrasive disk with grain size P1500 and a phylotactic opening pattern based on the Vogel equation. The number of openings was 246 and a cooperative support base (" soft "base ) based on the transposed image of the opening pattern Vogel 246 was also used together.The total amount of opening area for the abrasive wheel was 5%. [00207] Sample 2 was a 5 "diameter abrasive disk with grain size P1500 and a phyllotactic opening pattern based on the Vogel equation. The number of openings was 344 and a cooperative support base (" soft "base ) based on the transposed image of the Vogel 344 aperture pattern was used together.The total amount of abrasive disc opening area was 3.7%. [00208] As can be seen in the graph, the initial cut (for the first cycle) was marginally low but the cut deterioration rate was significantly improved compared to the Multi-Air control standard. The rate of deterioration is an indication of disc loading. The higher the load, the faster the cut rate drops. The improvement in mitigating the rate of cut loss is a clear indication that the opening patterns of the inventive samples are an improvement over the comparative opening pattern. In addition, inventive samples have a higher cumulative cut-off rate than the comparative sample. The percentage increase in cumulative cut for Sample 1 (+ 14.75%) and for Sample 2 (+27.81) disproportionately exceeds the amount of larger abrasive area for Sample 1 (+ 5%) and Sample 2 (+6, 8), which seems to indicate a synergistic abrasive performance effect due to the greater efficiency of removing chips from the inventive opening patterns and the use of a cooperative support base. In addition, the surface finish of the inventive samples is the same as or better (lower values indicate low average roughness) than the comparative samples. [00209] Table 7 - Abrasive performance < [00210] Table 8 - Abrasive performance [00211] Example 8 - Abrasive performance test - with vacuum and corresponding support base [00212] An abrasive performance test was carried out on the vehicle's side panels. The side panels were electro-deposited and fiberglass coated with primer. The vehicle's side panels were worn using a portable orbital sander equipped with a 6-inch abrasive disc, a support base and a vacuum device. Two control samples and three inventive samples were tested. The combinations of abrasive discs and support bases for the control samples and inventive samples are provided in Table _ and described in more detail below. [00213] For all tests, the vehicle's side panels were worn with a sideways movement covering successive lines across the surface of the vehicle's side panel. Several executions were carried out for each pair of abrasive discs and support bases. The average service life of abrasive wheels and the average surface area worn over the life of the abrasive wheels were measured. FIG. 24 shows a graph comparing the average service life and the average area worn over the service life for each of the inventive and control samples. [00214] Life expectancy and average area worn over the life of each sample was used to estimate and compare the time required to wear 10,000 square meters of vehicle dashboard. The calculation takes 45 seconds to change an abrasive wheel. FIG. 25 shows a graph comparing the time in hours required to wear 10,000 square meters of vehicle dashboard for the control and inventive samples. [00215] Control sample 1 used a 6 "diameter Norton MultiAir coated abrasive disk with P320 size aluminum oxide grain and had 181 cut openings, distributed in a grid pattern (an aperture radius of 7.8 mm in the center of the disc plus 180 openings of 1.65 mm around the central opening) (hereinafter "MultiAir Die-Cut Disc"). The total amount of opening area was approximately 10% of the total disc area. corresponding Norton MultiAir support 6 "in diameter (hereinafter" MultiAir support base ") made of polyurethane foam and having 181 openings in the same pattern as the MultiAir Die-Cut disk was used during the test. [00216] Control Sample 2 used a 6 "Norton MultiAir coated abrasive wheel the same as in Control Sample 1 except that the openings on the coated abrasive wheel were laser cut openings (hereinafter referred to as" Laser Cut MultiAir Disc "). Multiair support base the same as Control Sample 1 was used. [00217] Inventive Sample 1 used a laser cut MultiAir abrasive disc the same as Control Sample 2. A 6 "diameter support base with spiral airflow channels based on a transposition of the Vogel equation ( hereinafter referred to as "Sunflower support base"). The sunflower support base had a double symmetry and a spiral pattern adapted to correspond to a Vogel equation pattern having 247 total openings. The spiral pattern composed of 34 external spirals and 8 internal spirals each 1.3 mm wide The internal and external spirals were distinct from each other Each of the spirals comprised a channel for the flow of air through abrasive disc openings, along the channel and even the body of the support base by opening at least one opening inside the channel, see Figures 36 and 46. [00218] Inventiva Sample 2 was a 6 "diameter abrasive disk with P320 aluminum oxide abrasive grain and a phylotactic opening pattern according to the Vogel equation, having a total number of 247 openings (a radius opening of 7.8 mm in the center of the disc plus openings 246 of 1.3 mm around the central opening (hereinafter referred to as the Suflower abrasive disc) .The total amount of opening area of the Sunflower disc was approximately 8% of the total disc area. Multiair support base the same as Control Sample 1 was used. [00219] Inventiva Sample 3 was a 6 "diameter abrasive disk with P320 aluminum oxide abrasive grain and a phylotactic opening pattern according to the Vogel equation, having a total number of 247 openings (a radius opening of 7.8 mm in the center of the disc plus openings 246 of 1.3 mm around the central opening (hereinafter referred to as Suflower abrasive disc) .The total amount of opening area of the Sunflower disc was approximately 8% of the total disc area. a corresponding Sunflower support base as Inventive Sample 1. [00220] Table 9 - Abrasive performance [00221] Sample 1 demonstrates that the Sunf ower support base was usable with the state-of-the-art MultiAir disk and the pairing of the Sunflower support base contributed to a greater worn-out total surface area and a longer service life of abrasive disc, compared to control 1 and control 2. The amount of time required to wear 10,000 square feet of the panel has been reduced by 13%. [00222] Sample 2 demonstrates that the Sunflower abrasive wheel was useful with the state-of-the-art MultiAir support base and Sunflower abrasive wheel pairing contributed to a greater total worn surface area and longer abrasive wheel life compared to to Control 1 and Control 2. The amount of time required to wear 10,000 square feet of the panel has been reduced by 3%. [00223] Sample 3 demonstrates that the pairing of the Sunflower abrasive wheel and Sunflower support base contributed to a larger area of total worn surface and a longer service life of the abrasive wheel compared to the pairing of the MultiAir wheel and support base Multiair. In addition, the pairing of the Sunflower abrasive wheel and Sunflower support base provided the largest total worn surface area of all test combinations. The amount of time required to wear 10,000 square feet of the panel has been reduced by 24%. Note that the 24% reduction seems synergistic, as the reduction is greater than the sum of the reduction for Sample 1 (Sunflower support base - 13% reduction), in addition, the reduction for Sample 2 (Sunflower abrasive disc - 3% reduction). It is also noteworthy that the Sunflower abrasive disk achieves a higher abrasive performance even though it has a smaller opening area for the removal of chips. [00224] Example 9 - Cutting Efficiency Test [00225] An abrasive performance test was conducted on vehicle side panels to estimate the cutting efficiency of various combinations of abrasive discs and support bases. The side panels of the vehicle were fiberglass and electro-deposition coated with primer as above in Example 8. The side panels of the vehicle were worn using a portable orbital sander equipped with a 6-inch abrasive disc, a support base and a vacuum device as in Example 8. One control sample and three inventive samples were tested. The MultiAir and Sunflower abrasive discs were the same as above for Example 8, except the abrasive grain was p80 size aluminum oxide. Combinations of abrasive discs and support bases for control samples and inventive samples are provided in Table 10 and described in more detail below. [00226] For all tests, the side panels of the vehicle were worn with a sideways motion covering successive lines across the surface of the side panel of the vehicle as in Example 8. A single abrasive disc was used to provide controlled abrasion on the panel until the end of the disk's life is reached. The time to reach the end of the abrasive wheel's life and the total worn area were recorded. The cutting efficiency (total worn area / life expectancy) was calculated. FIG. 26 shows a graph comparing the calculated cutting efficiency of the inventive and control samples. [00227] Table 10 - Abrasive performance [00228] Sample 1 and Sample 2 demonstrated an improvement in cutting efficiency and an improvement in the total worn area compared to control 1. Sample 1 had a 12% improvement in cutting efficiency compared to control 1 and sample 2 had a 9% improvement in cutting efficiency under control 1. [00229] Example 10 - Cutting Efficiency Test [00230] An abrasive performance test was conducted on vehicle side panels to estimate the cutting efficiency of various combinations of abrasive discs and support bases. The side panels of the vehicle were fiberglass and electro-deposition coated with primer as above in Example 9. The side panels of the vehicle were worn using a portable orbital sander equipped with a 6-inch abrasive disc, a support base and a vacuum device as in Example 9. One control sample and three inventive samples were tested. The MultiAir and Sunflower abrasive discs were the same as above for Example 9, except the abrasive grain was a mixture of p80 size ceramic aluminum oxide and sol-gel aluminum oxide. The combinations of abrasive discs and support bases for the control samples and inventive samples are provided in Table 6 and described in more detail below. [00231] For all tests, the side panels of the vehicle were worn with a sideways motion covering successive lines across the surface of the side panel of the vehicle as in Example 9. A single abrasive disc was used to provide controlled abrasion on the panel until the end of the disk's life is reached. The time to reach the end of the abrasive wheel's life and the total worn area were recorded. The cutting efficiency (total worn area / life expectancy) was calculated. FIG. 27 shows a graph comparing the calculated cutting efficiency of the inventive and control samples. [00232] Table 11 - Abrasive performance [00233] Sample 1 and Sample 2 demonstrated an improvement in cutting efficiency and an improvement in the total worn area compared to control 1. Sample 1 had a 16% improvement in cutting efficiency compared to control 1 and sample 2 had a 55% improvement in cutting efficiency under control 1. [00234] Note that not all activities described above in the general description or examples are necessary, that a part of a specific activity may not be necessary and that one or more additional activities may be carried out in addition to those described. Furthermore, the order in which activities are listed is not necessarily the order in which they are carried out. [00235] In the above specification, the concepts were described with reference to specific modalities. However, a person skilled in the art appreciates that various modifications and changes can be made without departing from the scope of the invention as set out in the claims below. In this sense, the descriptive report and figures should be considered in an illustrative rather than restrictive sense, and all these modifications are intended to be included in the scope of the invention. [00236] As used herein, the terms "comprises," "comprising", "includes," "including", "has", "having" or any other variation thereof, is intended to cover a non-exclusive inclusion. For example, a process, method, article or device that comprises a list of resources is not necessarily limited only to those resources, but may include other characteristics not expressly stated or inherent in such a process, method, article or device. In addition, unless expressly stated to the contrary, "or" refers to one or inclusive and not one or exclusive. For example, a condition A or B is met by any of the following: A is true (or present) and B is false (or is not present), A is false (or is not present) and B is true (or present ) and both A and B are true (or present). [00237] Also, the use of "one" or "one" are employed to describe the elements and components described here. This is done only for convenience and to give a general sense of the scope of the invention. This description must be read to include one or at least one and the singular also includes the plural, unless it is obvious that it meant otherwise. [00238] Benefits, other advantages and solutions to the problems have been described above with regard to specific modalities. However, the benefits, advantages, solutions to problems and any resources that may cause any benefit, advantage or solution to occur or become more pronounced should not be construed as a critical, necessary or essential resource of any or all claims. [00239] After reading the specification, people versed in the technique will appreciate that certain features are, for clarity, described in the context of different modalities, they can also be provided in combination in a single modality. On the other hand, several resources that are, for the sake of brevity, described in the context of a single modality, can also be provided separately or in any sub-combination. In addition, references to values set at intervals include each value within the range.
权利要求:
Claims (12) [0001] 1. Abrasive article (100) comprising a coated abrasive having a plurality of openings (101) arranged in an opening pattern, where the opening pattern has a controlled non-uniform distribution in which the opening pattern is rotationally asymmetrical around the center of the opening pattern and where the opening pattern is a spiral phylotaxic pattern with a controlled asymmetry, characterized by the fact that the opening pattern is described in polar coordinates by the following equation: Φ = n * α, r = c n (Eq. 1) where: n is the order number of an opening, counting outside the center of the opening pattern; Φ is the angle between a reference direction and a position vector of the nth opening in a polar coordinate system originating in the center of the opening pattern, such that the angle of divergence between the position vectors of any two successive openings is one constant angle α; r is the distance between the center of the opening pattern and the center of the umpteenth opening; and c is a constant scale factor in which the opening pattern has an angle of divergence in polar coordinates ranging from approximately 100 ° to approximately 170 °. [0002] 2. Abrasive article (100) according to claim 1, characterized in that the opening pattern has an angle of divergence in polar coordinates ranging from approximately 135 ° to approximately 139 °. [0003] Abrasive article (100) according to claim 1, characterized in that the opening pattern has a divergence angle that is 137.508 °. [0004] 4. Abrasive article (100) according to claim 1, characterized in that the openings have a size ranging from approximately 0.25% to approximately 5% of the longest dimension of the abrasive surface. [0005] Abrasive article (100) according to claim 1, characterized in that the abrasive article (100) is a coated abrasive article (700), comprising a backing layer (701) having a larger first side (703) and a second larger side (705); and an abrasive layer (707) disposed on the first major side (703), wherein the abrasive layer (707) comprises a binder and a plurality of abrasive grains (711); wherein a plurality of openings (101) perforate the backing layer (701) and the abrasive layer (707). [0006] A method for producing an abrasive article (100), as defined in claim 1, comprising: positioning an abrasive layer (707) on a support (701); perforating the abrasive layer (707) and the support (701) to create a plurality of openings (101), in which the opening pattern has a controlled asymmetry, in which the opening pattern is rotationally asymmetrical around the center of the pattern of opening and, in which the openings are arranged in an opening pattern having a controlled non-uniform distribution which is a phylotaxic pattern, an asymmetric pattern characterized by the fact that the opening pattern is described in polar coordinates by the following equation: Φ = n * α, r = c ^ n (Eq. 1) where: n is the order number of an opening, counting outside the center of the opening pattern; Φ is the angle between a reference direction and a position vector of the nth opening in a polar coordinate system originating in the center of the opening pattern, such that the angle of divergence between the position vectors of any two successive openings is one constant angle α; r is the distance between the center of the opening pattern and the center of the umpteenth opening; and c is a constant scale factor in which the opening pattern has an angle of divergence in polar coordinates ranging from approximately 100 ° to approximately 170 °. [0007] 7. Support base, comprising a pattern of airflow paths, characterized by the fact that the airflow paths have one or more holes or openings or combinations of them arranged together or within the airflow paths, the pattern of airflow pathways is generated from x and Y coordinates of a controlled non-uniform distribution pattern, in which the x and y coordinates of the controlled non-uniform distribution pattern are transposed and rotated according to equation (II) below, to determine the x 'and y coordinates of the airflow path pattern where θ is equal to π / n in radians and n is any integer: [0008] 8. Support base, according to claim 7, characterized by the fact that the controlled non-uniform distribution pattern is the Vogel equation as described in polar coordinates by the following equation: Φ = n * α, r = c ^ n ( Eq. 1) where: n is the order number of an opening, counting outside the center of the opening pattern; Φ is the angle between a reference direction and a position vector of the nth opening in a polar coordinate system, originating in the center of the opening pattern, such that the angle of divergence between the position vectors of any two successive openings is a constant angle α; r is the distance between the center of the opening pattern and the center of the umpteenth opening; and c is a constant scale factor. [0009] 9. Support base, according to claim 7, characterized by the fact that n is any integer from 1 to 10. [0010] 10. Abrasive system comprising a coated abrasive (700) according to claim 1 and a support base, characterized in that the support base comprises a plurality of air flow paths arranged in a pattern adapted to correspond the openings (101) of the coated abrasive (700). [0011] 11. System, according to claim 10, characterized by the fact that the airflow path pattern is generated from X and Y coordinates of the opening pattern. [0012] 12. System according to claim 10, characterized in that the pattern of airflow pathways comprises spiraling airflow pathways that radiate, and in which the x and y coordinates of the opening pattern are transposed and rotated accordingly with equation (II) below, to determine the X 'and y''coordinates of the airflow path pattern, where θ is equal to π / n in radians and n is any integer:
类似技术:
公开号 | 公开日 | 专利标题 BR112014016015B1|2020-12-29|abrasive article with non-uniform distribution of openings JP6805292B2|2020-12-23|Coated abrasive product based on sunflower pattern WO2011090681A2|2011-07-28|Anti-loading abrasive article
同族专利:
公开号 | 公开日 JP2015171759A|2015-10-01| KR101671708B1|2016-11-02| TW201336621A|2013-09-16| EP3613540A1|2020-02-26| JP5779727B2|2015-09-16| EP2797714A4|2015-08-12| EP2797714B1|2019-04-03| AU2012362116B2|2016-06-09| TWI523732B|2016-03-01| EP2797714A1|2014-11-05| MX2014007883A|2014-10-06| MX356390B|2018-05-28| CN106002638B|2019-01-11| CH708721B1|2015-04-30| CN104125876A|2014-10-29| US20170209981A1|2017-07-27| CH709387B8|2015-11-30| AU2012362116A1|2014-08-07| CN106002638A|2016-10-12| US10076820B2|2018-09-18| EP3072639B1|2019-07-03| BR112014016015A8|2017-07-04| CA2973965A1|2013-07-04| BR112014016015A2|2017-06-13| US20190001464A1|2019-01-03| WO2013102206A1|2013-07-04| KR20140121407A|2014-10-15| DE212012000041U1|2013-10-14| CA2862388C|2018-01-16| RU2014130168A|2016-02-20| RU2603747C2|2016-11-27| US9656366B2|2017-05-23| CN104125876B|2018-07-20| CA2862388A1|2013-07-04| CH709387B1|2015-09-30| CH706386B1|2014-06-30| EP3072639A1|2016-09-28| JP6018260B2|2016-11-02| CH709583B1|2015-10-30| JP2015503464A|2015-02-02| US20130260656A1|2013-10-03|
引用文献:
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法律状态:
2018-03-27| B06F| Objections, documents and/or translations needed after an examination request according art. 34 industrial property law| 2019-08-13| B06U| Preliminary requirement: requests with searches performed by other patent offices: suspension of the patent application procedure| 2020-07-07| B06A| Notification to applicant to reply to the report for non-patentability or inadequacy of the application according art. 36 industrial patent law| 2020-11-03| B09A| Decision: intention to grant| 2020-12-29| B16A| Patent or certificate of addition of invention granted|Free format text: PRAZO DE VALIDADE: 20 (VINTE) ANOS CONTADOS A PARTIR DE 31/12/2012, OBSERVADAS AS CONDICOES LEGAIS. |
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申请号 | 申请日 | 专利标题 US201161582308P| true| 2011-12-31|2011-12-31| US61/582,308|2011-12-31| PCT/US2012/072304|WO2013102206A1|2011-12-31|2012-12-31|Abrasive article having a non-uniform distribution of openings| 相关专利
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