The present disclosure relates to golf balls, particularly to golf ball dimples. More particularly, the present disclosure relates to fan-shaped golf ball dimples.
Golf ball dimples work by inducing turbulence in the boundary layer of the air adjacent to the surface of the golf ball. Compared to laminar boundary layers, turbulent boundary layers are better able to remain attached to the ball surface. Thus, the size of the wake behind the golf ball can be reduced if the boundary layer is turbulent rather than laminar, resulting in a reduction of pressure drag acting on the golf ball. Although turbulent boundary layers generate greater skin friction drag, this is dramatically outweighed by the reduction of pressure drag. However, manufacturers are still dedicated in their efforts to reducing pressure drag and minimize the corresponding increase in skin friction drag to maximize the net benefit. Accordingly, there is a need in the art for improved dimple designs and geometry that induce turbulence in the boundary layer by drawing the air flow into the dimples.
In some embodiments, the present disclosure includes a golf ball including a generally spherical surface and a plurality of dimples separated by a land area. At least one dimple includes a plurality of blades. Each blade includes a trailing edge flush with the land area of the golf ball, a leading edge, and a side wall connected to the leading edge. The dimple also includes a sloped floor extending from the trailing edge to the leading edge, a blade tip connecting the leading edge to the trailing edge at a distal end of the blade, and a blade root connecting the leading edge to the trailing edge at a proximal end of the blade.
In some embodiments, the present disclosure includes a golf ball comprising a plurality of dimples. At least one of the dimples includes a plurality of asymmetrical blades connected about a dimple center. Each blade comprises a trailing edge, a leading edge, and a side wall connected to the leading edge. The leading edge includes a reflex curvature.
In other embodiments, the present disclosure includes a golf ball including a plurality of dimples. Each of the plurality of dimples includes a plurality of asymmetrical blades connected about a dimple center. Each blade includes a trailing edge, a leading edge, a side wall connected to the leading edge, and a blade tip connecting the leading edge to the trailing edge at a distal end of the blade. The leading edge includes a reflex curvature. The dimples may be arranged on the golf ball such that all of the blade tips are pointed at a neighboring dimple. In another embodiment, the dimples may be arranged on the golf ball such that each blade nests into a recess between adjacent blades of a neighboring dimple. The plurality of dimples may include a first dimple subset and a second dimple subset that comprise a different number of blades than the first dimple subset.
In the accompanying drawings, which form a part of the specification and are to be read in conjunction therewith, and in which like reference numerals are used to indicate like parts in the various views:
The present disclosure relates to the shape of a golf ball dimple. In particular, an exemplary golf ball includes a dimple having at least a portion that is in the shape of a fan blade. A dimple according to the present disclosure may include a plan shape including repeating fan blades that form a fan or propeller shape. In at least some embodiments, a center of the dimple includes a blade junction at which all of the fan blade shapes are connected. Similar to a conventional circular dimple, a floor of the fan-shaped dimples may slope toward a center of the dimple, with S-shaped side walls interrupting the slope to produce the fan blade shape. The fan blade and overall fan shape draws air flow into the dimples and induces rotating vortices to increase turbulence in the boundary layer as the golf ball moves through the air.
The shape of the blades that make up each dimple may include vertical side walls that have reflex curvature (also referred to herein as “S-shaped”), similar to the walls of the dimples described in U.S. Pat. No. 9,180,344, the disclosure of which is herein incorporated by reference in its entirety. However, in the dimples of the present disclosure, the walls do not occur in opposing right and left hand pairs; rather, within a given dimple they are arranged in a generally radial fashion with the same handedness. This produces a dimple with the general three-dimensional topography of a fan or propeller, as opposed to a star shape or other geometry having symmetrical arms. Moreover, the repeating sections or “blades” of the dimple are asymmetrical. The S-shaped walls more efficiently generate boundary layer turbulence, which is a typical purpose of any golf ball dimple. As a result, fewer dimples may be used on the surface of the golf ball without sacrificing performance because the disclosed dimples generate turbulence both along their expanded outer perimeter length and internally by the curved side walls.
The three-dimensional topography of the dimple 12 resembles a fan or propeller, in that the blades 14, 16, 18 don't lie flat on the generally spherical surface of the golf ball 10. Rather, they are flush along one edge but depressed along the opposite edge, which ends in a vertical side wall that connects it to the land area 22. Thus, the blade surface has an angle that is analogous to the pitch angle of a fan or propeller blade. Since the side walls are vertical, they are not visible in the plan view of
Referring to
As mentioned above, the dimple 12 includes a blade 14 that forms a portion of the composite dimple. The following description of the blade 14 can be applied to blades 16, 18, as well. The blade 14 includes a trailing edge 24, a leading edge 26, a side wall 28, a floor 30, a blade tip 32, and a blade root 34. The trailing edge 24 is a transition edge between the land area 22 and the floor 30 of the blade 14. The floor 30 slopes away from the trailing edge 24 toward the blade junction 20. The trailing edge 24 is thus flush with the land area 22 and therefore has a depth of substantially zero. The floor 30 extends from the trailing edge 24 to the leading edge 26 and is directly connected to the land area 22 by the trailing edge 24. The leading edge 26 is positioned opposite from the trailing edge 24. The blade tip 32 connects the leading edge 26 to the trailing edge 24 at a distal end of the blade 14. The blade root 34 connects the leading edge 26 to the trailing edge at a proximal end of the blade 14. As used herein, “distal” means further from the center of the dimple and “proximal” means closer to the center of the dimple.
In an exemplary embodiment, the trailing edge 24 has a single curvature (e.g., the edge is convex or concave along its entire length and thus does not include both a convex and a concave portion). In disclosed embodiments, the leading edges and corresponding side walls, including the leading edge 26 and the side wall 28, have a reflex curvature, or S-Shape (e.g., the edge includes both a concave and convex portion) in order to more efficiently induce turbulent air flow. As a result, each blade 14, 16, 18 is asymmetrical. For example, the blades 14, 16, 18 are asymmetrical in a plan view, as shown in
In a mathematical sense, the term “reflex curvature” refers to a curve in which the second derivative changes sign from positive to negative or vice-versa. A positive second derivative means the curve is “concave-up”, while a negative second derivative means it is “concave-down”. Thus, a shape with reflex curvature is concave-up in a first portion and changes to concave-down in a second portion, or vice-versa. The point at which the transition occurs (i.e., the second derivative is either zero or undefined) is called the “inflection point.”
The leading edge 26 of the blade 14 is connected to the floor 30 by the side wall 28 (e.g., the leading edge 26 is the top edge of the side wall 28). In an exemplary embodiment, the disclosed side walls, including the side wall 28, are vertical (perpendicular to the land area 22 of the golf ball 10) or near vertical, which is also a feature for enhancing the aerodynamic effect of the disclosed dimples. For example, the side wall 28 forms an angle of about 90 degrees with the land area 22.
In at least some embodiments, the blade root of a blade is an edge that extends from the base end of the trailing edge to the base end of the leading edge, where the base ends of all of the leading edges are connected at the blade junction. As a result, the blade root slopes from the trailing edge directly to the blade junction (i.e., the blade root slopes from a smallest depth at the trailing edge to a largest depth at the blade junction). In the example of the blade 14, the blade root 34 slopes from the trailing edge 24 to the blade junction 20, which is also the base end of the leading edge 26. In an exemplary embodiment, the blade root of one blade overlaps a portion of the leading edge of an adjacent blade. For example, the blade root 34 overlaps the leading edge 36 of the blade 16. The point at which the trailing edge 24 intersects the leading edge 36 is a first connection point 38 (which is also the base end of the trailing edge 24. The leading edge 36 of the blade 16 drops off to a side wall 39, similar to the leading edge 26 and side wall 28.
The blade 14 includes a second connection point 40, similar to the first connection point 38, at an intersection between the leading edge 26 of the blade 14 and the trailing edge 42 of the blade 18 (i.e., the base end of the trailing edge 42). The second connection point 40 divides the leading edge 26 into a first portion 44 and a second portion 46 (shown in
There are various parameters of the disclosed fan-shaped dimples that can be adjusted to produce different dimple configurations with varying appearance and characteristics. For example, edge length, edge and wall curvature, floor slope, dimple depth, among other parameters, may be adjusted. In addition, although the dimple 12 has three fan blades, any desired number may be used. For example, the number of blades bay be in a range from 3-8.
In another example, the blades of a fan-shaped dimple may vary in width. For instance, the length of the blade root of each blade may be adjusted, thereby changing the width of the blade.
In another example, the reflex curvature of the leading edge of the blades may vary in severity. The following description of leading edge curvature may also apply to side wall curvature, as the leading edge is an edge of the side wall.
In some embodiments, the inflection point of the leading edge reflex curvature is located at the midpoint of the leading edge, such as in the dimple 12.
Fan shaped dimples may be arranged into a pattern on the surface of the ball using any desired method or scheme. As is well known in the art, the surface is usually divided into spherical polygonal areas corresponding to the faces of a regular or semi-regular polyhedron, often an icosahedron, an octahedron, a dodecahedron, an icosidodecahedron, or a cuboctahedron, and similar areas are filled with similar arrangements of dimples. With conventional circular dimples, the rotational orientation of each dimple within the pattern is irrelevant. However, fan shaped dimples have more complex outer perimeters, so different rotational orientations will produce different spatial relationships with neighboring dimples. While one of ordinary skill in the art will appreciate that the disclosed fan-shaped dimples may be placed on the golf ball using any number of desired patterns or schemes known in the art, dimple patterns based on the geometry of an icosahedron are particularly suitable due the regularity of the dimple arrays produced.
As mentioned above, the disclosed fan-shaped dimples may be arranged on the entire surface of the golf ball or portions thereof. In one embodiment, a plurality of dimples is arranged in a defined space such that the resulting dimple pattern includes at least one fan-shaped dimple. The at least one fan-shaped dimple may be placed randomly on the designated surface or may be selected and arranged by any means known to those skilled in the art. In another embodiment, the plurality of dimples is arranged such that the resulting dimple pattern includes a plurality of disclosed fan-shaped dimples where each dimple shape may be the same or different. In yet another embodiment, the plurality of dimples is arranged such that the resulting dimple pattern includes a plurality of disclosed fan-shaped dimples and a plurality of dimples having a different shape.
Generally, fan-shaped dimples consistent with the disclosure may be characterized as having a size and a shape. The size of a fan-shaped dimple, as used herein, refers to a size of a smallest circle that circumscribes an entirety of the fan-shaped dimple (e.g., the size may be the diameter of the circumscribing circle). The shape of a fan-shaped dimple, as used herein, refers to all other characteristics of the dimple, such as the number of blades, blade width, edge dimensions, dimple depths, etc. Two fan-shaped dimples may have the same size and shape, the same size and a different shape, different sizes and the same shape, or different sizes and shapes.
In some embodiments, a dimple pattern may include a first plurality (e.g., first subset) of disclosed fan-shaped dimples having a first shape and a first size and at least a second plurality (e.g., second subset) of disclosed fan-shaped dimples having a second shape and/or a second size that is different than the first shape and/or the first size (i.e., at least one of the size and shape differ). For example, a subset of a plurality of 3-bladed fan-shaped dimples may be combined with a subset of a plurality of 4-bladed fan-shaped dimples. In another example, a subset of relatively large 5-bladed fan-shaped dimples may be combined with a subset of relatively small 5-bladed fan-shaped dimples. Further examples of these embodiments will be described in more detail.
Likewise, portions of the golf ball surface may be configured with dimples that are not shaped according to the methods described herein. For instance, the location and size of dimples on a golf ball corresponding to a vent pin or retractable pin for an injection mold may be selected in order to avoid significant retooling of molding equipment. Maintaining the selected size and position of such dimples may be accomplished by defining the portions of the ball where dimples will be arranged according to the methods described herein so that the defined portion of the ball surface excludes the dimples that are to remain in their selected position.
Some embodiments may include fan-shaped dimples and “other” types of dimples. The other type of dimple may be a conventional shape (such as a circular plane shape) or a non-circular shape such as oval, triangular, rhombic, rectangular, pentagonal, and polygonal. In one embodiment, the dimple pattern includes a plurality of disclosed fan-shaped dimples and a plurality of at least one other type of dimple placed in remaining portions or undefined spaces in any manner. For example, in one embodiment, the golf ball surface may include a first plurality of disclosed fan-shaped dimples having a first shape and a first size and a second plurality of dimples having a second shape and a second size. In another embodiment, the golf ball surface may include a first plurality of disclosed fan-shaped dimples having a first shape and a first size, a second plurality of disclosed fan-shaped dimples having a second shape and a second size, and a third plurality of dimples having a third shape and a third size.
In another embodiment, the dimple pattern includes a plurality of disclosed fan-shaped dimples and a plurality of at least two other types of dimples placed in remaining portions or undefined spaces in any manner, where the types of other dimples may be defined by different sizes of the same shape of dimple or different shapes in substantially similar or different sizes. For example, in one embodiment, the golf ball surface may include a first plurality of disclosed fan-shaped dimples having a first shape and a first size, a second plurality of dimples having a second shape and a second size, and a third plurality of dimples having a third shape and third size. In this aspect, the second and third shapes may be substantially the same or different. Likewise, the second and third sizes may be substantially the same or different. In one embodiment, the second shape is a circular plane shape and the third shape is a non-circular shape. In another embodiment, the second and third shapes may each be circular plane shapes where the second size is greater than the third size.
In another embodiment, the golf ball surface may include a first plurality of disclosed fan-shaped dimples having a first shape and a first size, a second plurality of disclosed fan-shaped dimples having a second shape and a second size, and at least a third plurality of dimples having a third shape and a third size, with the option to have additional pluralities of dimples having different shapes and/or sizes from the third plurality of dimples. In this aspect, the additional pluralities may have the same shape as the third shape, but a different size than the third size. In the alternative, the additional pluralities may have substantially the same size, but a different shape than the third shape. In addition, the additional pluralities may have a different shape and size than the third shape and size (and also different from each plurality's shape and size).
Several additional non-limiting examples of dimple sizes and shapes that may be used as the “other types of dimples” in the dimple patterns disclosed herein are provided in U.S. Pat. Nos. 6,358,161 and 6,709,349, the entire disclosures of which are incorporated by reference herein.
In addition to varying the perimeter and size of the “other types of dimples,” the cross-sectional profile of such dimples may also be varied. For example, in one embodiment, the profile of the dimples corresponds to a catenary curve. This embodiment is described in further detail in U.S. Pat. No. 7,887,439, which is incorporated by reference herein in its entirety. Another example of a cross-sectional dimple profile that may be used with the present disclosure is described in U.S. Pat. No. 6,905,426, which also is incorporated by reference herein in its entirety. Other dimple profiles, such as circular arc, ellipsoidal, or parabolic, may be used as well without departing from the spirit and scope of the present disclosure. In addition, the dimples may have a convex or concave profile, or any combination thereof.
In some embodiments, fan-shaped dimples may be mixed with other types of dimples on the surface of a golf ball.
In some embodiments, a dimple pattern may include at least three different fan-shaped dimples. For example,
Among the disclosed examples of dimple patterns having only fan-shaped dimples, the dimple counts have ranged from 92 to 212. This number of dimples is low compared to typical patterns of conventional dimples which usually incorporate from about 250 to about 500 dimples. However, the unique architecture of the fan-shaped dimples allows them to generate the necessary boundary layer turbulence with fewer dimples. Conventional dimples generate turbulence primarily along the circular edge that forms their outer perimeter. With fan shaped dimples, not only is the outer perimeter length greater because of the more complex shape, but the internally-located S-shaped side walls also serve as turbulence generators. Thus, fewer dimples are necessary to produce similar aerodynamic performance.
Nevertheless, conventional dimple counts may be used if desired. Returning to
The defined space for arranging the disclosed fan-shaped dimples on the surface of the ball may approximately correspond to a hemispherical portion of the golf ball, although smaller or larger regions also may be selected. Defining the space in this manner may have particular benefits when the mold that forms the cover is composed of two hemispherical halves.
The defined space may be selected to correspond approximately to the area formed by one mold cavity. In this situation, a boundary region may be imposed near the parting line of the mold so that the dimples are not formed too close to where the mold cavities meet. For instance, a boundary region may be imposed so that no portion of a dimple (composite or other type of dimple) is formed within 0.005 inches or less of the mold parting line. In an exemplary embodiment, this boundary region would be approximately the same distance from the parting line on the corresponding mold cavity.
This technique for defining the space to correspond to a mold cavity may be used even if the corresponding cavities of a pair do not have the same dimensions or configurations. For instance, the parting line of the mold may be offset, as described for instance in U.S. Pat. No. 4,389,365 to Kudriavetz, the disclosure of which is incorporated by reference in its entirety. Additionally, the parting line of the mold may not occur in a single plane, as described for example in U.S. Pat. No. 8,414,428, which is incorporated herein by reference. Other molds may have dimples that cross the parting line such described in U.S. Pat. No. 6,168,407, which is incorporated by reference in its entirety. It is not necessary, however, that the defined space is limited to the area formed by a single mold cavity. Often, the defined space is a smaller spherical polygonal area corresponding to a face of an inscribed polyhedron, as is well known in the art.
The present disclosure is not limited to any particular ball construction, nor is it restricted by the materials used to form the cover or any other portion of the golf ball. Thus, the disclosed dimples may be used with golf balls having solid, liquid, or hollow centers, any number of intermediate layers and any number of covers. It also may be used with wound golf balls, golf balls having multilayer cores, and the like. For instance, the present disclosure may be applied to a golf ball having a double cover, a dual core, and combinations thereof.
Other non-limiting examples of suitable types of ball constructions that may be used with the present disclosure include those described in U.S. Pat. Nos. 6,056,842, 6,824,476, 6,548,618, 5,688,191, 5,713,801, 5,803,831, 5,885,172, 5,919,100, 5,965,669, 5,981,654, 5,981,658, and 6,149,535. The entire disclosures of these patents and published applications are incorporated by reference herein.
As mentioned, golf ball dimples are generally intended to introduce turbulence into the boundary layer, artificially causing air flow around the golf ball to transition into a turbulent state. The turbulent boundary layer is better able remain attached to the ball's surface, which reduces the size of the wake behind the ball and reduces the aerodynamic pressure drag. A conventional circular dimple may introduce turbulence by creating a horseshoe vortex along its leading and lateral edges triggered by air spilling into the dimple. Like the horseshoe vortex generated by an airplane wing, the dimple's vortex leaves oppositely rotating “tails” trailing aft. NACA ducts (named for the developer—the National Advisory Committee for Aeronautics) more efficiently induce a turbulent boundary layer by using diverging S-shaped walls (one right handed and one left handed) to create a similar pair of oppositely rotating trailing vortices. Disclosed embodiments incorporate this characteristic of an S-shaped wall to more efficiently control air flow and introduce turbulence into the boundary layer.
For the case of a fan-shaped dimple of the present disclosure, all of the S-shaped walls may have the same handedness, so if more than one is in a position to create a vortex, all of the vortices will be rotating in the same direction. When the vortices are rotating in the same direction, the turbulent effect is enhanced, where oppositely rotating vortices may cancel each other out where the dimples are small and the edges of the dimple are close together. Thus, the disclosed dimples are effective at introducing turbulence into the boundary layer.
When numerical lower limits and numerical upper limits are set forth herein, it is contemplated that any combination of these values may be used.
All patents, publications, test procedures, and other references cited herein, including priority documents, are fully incorporated by reference to the extent such disclosure is not inconsistent with this invention and for all jurisdictions in which such incorporation is permitted.
While the illustrative embodiments of the invention have been described with particularity, it will be understood that various other modifications will be apparent to and can be readily made by those of ordinary skill in the art without departing from the spirit and scope of the invention. Accordingly, it is not intended that the scope of the claims appended hereto be limited to the examples and descriptions set forth herein, but rather that the claims be construed as encompassing all of the features of patentable novelty which reside in the present invention, including all features which would be treated as equivalents thereof by those of ordinary skill in the art to which the invention pertains.
Number | Name | Date | Kind |
---|---|---|---|
1656408 | Young | Jan 1928 | A |
4389365 | Kudiavetz | Jun 1983 | A |
4869512 | Nomura | Sep 1989 | A |
5688191 | Cavallaro et al. | Nov 1997 | A |
5713801 | Aoyama | Feb 1998 | A |
5803831 | Sullivan et al. | Sep 1998 | A |
5885172 | Hebert et al. | Mar 1999 | A |
5919100 | Boehm et al. | Jul 1999 | A |
5965669 | Cavallaro et al. | Oct 1999 | A |
5981654 | Rajagopalan | Nov 1999 | A |
5981658 | Rajagopalan et al. | Nov 1999 | A |
5997418 | Tavares | Dec 1999 | A |
6056842 | Dalton et al. | May 2000 | A |
6149535 | Bissonnette et al. | Nov 2000 | A |
6168407 | Kasashima et al. | Jan 2001 | B1 |
6231463 | Tavares | May 2001 | B1 |
6358161 | Aoyama | Mar 2002 | B1 |
6548618 | Sullivan et al. | Apr 2003 | B2 |
6709349 | Sullivan | Mar 2004 | B2 |
6824476 | Sullivan et al. | Nov 2004 | B2 |
6905426 | Morgan et al. | Jun 2005 | B2 |
D516641 | Lee | Mar 2006 | S |
7887439 | Aoyama et al. | Feb 2011 | B2 |
8414428 | Aoyama et al. | Apr 2013 | B2 |
9180344 | Aoyama | Nov 2015 | B2 |
10010760 | Crahan | Jul 2018 | B1 |
10369417 | Nardacci et al. | Aug 2019 | B2 |
10532251 | Madson | Jan 2020 | B1 |
10814177 | Madson | Oct 2020 | B1 |
10814178 | Crahan | Oct 2020 | B1 |
20020123395 | Murphy | Sep 2002 | A1 |
20020165044 | Sullivan | Nov 2002 | A1 |
20030171167 | Kasashima | Sep 2003 | A1 |
20050009644 | Aoyama | Jan 2005 | A1 |
20050043119 | Veilleux | Feb 2005 | A1 |
20060089211 | Sato | Apr 2006 | A1 |
20070167258 | Sato | Jul 2007 | A1 |
20080234071 | Sullivan | Sep 2008 | A1 |
20100216575 | Sato | Aug 2010 | A1 |
20100304897 | Madson | Dec 2010 | A1 |
20110028245 | Nakagawa | Feb 2011 | A1 |
20110098135 | Ono | Apr 2011 | A1 |
20130085017 | Goodwin | Apr 2013 | A1 |
20140200099 | Aoyama | Jul 2014 | A1 |
20160184644 | Sato | Jun 2016 | A1 |
20160271456 | Hwang | Sep 2016 | A1 |
20160375311 | Sato | Dec 2016 | A1 |
20180272193 | Madson | Sep 2018 | A1 |
20190168075 | Nardacci | Jun 2019 | A1 |
20190232115 | Madson | Aug 2019 | A1 |
20190299062 | Madson | Oct 2019 | A1 |
20190344124 | Madson | Nov 2019 | A1 |
20200108297 | Madson | Apr 2020 | A1 |
20200139196 | Madson | May 2020 | A1 |
20200171357 | Madson | Jun 2020 | A1 |
20200188738 | Madson | Jun 2020 | A1 |
20200206571 | Madson | Jul 2020 | A1 |
20200276480 | Madson | Sep 2020 | A1 |
20200353317 | Watanabe | Nov 2020 | A1 |
20200398115 | Madson | Dec 2020 | A1 |
20210023420 | Hunt | Jan 2021 | A1 |
20210038946 | Nardacci | Feb 2021 | A1 |
20210106877 | Nardacci | Apr 2021 | A1 |
Number | Date | Country | |
---|---|---|---|
20230302328 A1 | Sep 2023 | US |