This invention relates to a golf ball provided with a dimple pattern comprising non-circular dimples for improving a driving aerodynamics property.
Conventionally, it has been widely recognized in golf players that, as a good condition for a ball driving action within a speed range of 20 to 70 m/sec, a golf ball had better be provided with circular dimples on the surface in comparison with no dimples because the dimples make the driving drag smaller and also make the driving distance longer than that with no dimples if the same ball initial velocity is given. Further, it has been also recognized that a bigger circular dimple is preferred at a lower driving velocity for a golf ball while a smaller circular dimple is preferred at a higher driving velocity for a golf ball.
Therefore, recently in order to increase the lift-drag ratio (lift/drag) which affects the driving distance, there have been done a lot of researches for testing a dimple pattern, a peripheral form of dimple and a cross-section of dimple. For example, there were proposed a concept of triangular dimples and their dimple pattern (PTL 1), a concept of section ally cone-shaped dimples provided with triangular periphery (PTL 2) and a concept of polygonal dimples provided with ridges between dimples (PTL 3).
In other words, it has been well known to the golf players that the dimples are necessary to increase the lift-drag ratio and some land areas on the golf ball surface and some ridges between dimples are also necessary to increase the lift-drag ratio.
On the other hand, in order to get the official approval according to R&A rules it is requested that the balls should follow the standards concerning the ball weight, the ball size, the initial velocity, the symmetric property and so on. Among the R&A standards, especially the reflection coefficient is strictly circumscribed to a specific range because it has a huge effect on the initial velocity and then the driving distance. Therefore, multi-piece balls such as three or four-piece balls have been proposed and some new materials have been improved in order to obtain a longer driving distance within the standard range of the reflection coefficient according to R&A rules.
{PTL 1} U.S. Pat. No. 4,830,378
{PTL 2} Japanese Unexamined Patent Application Publication H06-190082
{PTL 3} Japanese Unexamined Patent Application Publication 2005-185341
However, from the beginning of a circular dimple pattern in a golf play history, although number of piece layers of golf balls such as three-piece or four-piece ball as well as the dimple number and the ball size have been studied much, any advanced theories and results concerning the aerodynamics of the golf ball have been hardly obtained as long as the circular dimples are provided. We have been researched the above items from a different aspect of the aerodynamics and have found a new knowledge against the conventional concept based on the circular dimples. That is, although the circular dimples are necessary to increase the lift power and decrease the drag power, there have been found limitations to move the separating boundary layer to back a little further. This is caused by the phenomenon that longitudinal or vertical vortices generated in the circular dimple tend to flow in a same one direction as long as the circular dimples are provided, so that some of vortices still remain in the circular dimple, resulting in that the separating boundary layer surrounding the driving ball still remains at a smaller one, at max 105°, which means that the angle of the separating boundary layer becomes 110° at the upper side and 105° at the lower side as shown in
Therefore, a first object of the present invention is to provide a golf ball having a property to increase the lift-drag ratio (lift/drag) for a longer driving even if the spin number would become larger. Further a second object of the present invention is to provide a golf ball having a superior straight driving property.
As a result of our researches in order to solve the problem described above, we have found from our experiments and our considerations concerning the aerodynamics of the golf ball that the conventional concept based on the circular dimples is not necessarily correct. In other words, when a golf ball is driving with rotating in the air, the separating boundary layer is existing in the vicinity of the maximum vertical width or diameter of the golf ball and then it induces vortices to generate at the back side of the golf ball which leads to the drag action, so that the drag action is greatly affected by the up-down width of separating boundary layer. According to the conventional concept, 1) the circular dimples should be formed to move the separating boundary position back so as to decrease the up-down width of separating boundary layer and then decrease the drag action power. Further, 2) the circular dimples should be formed to obtain the lift power by the speed difference of airflow at the up and down side of the golf ball. Contrary to common sense, however, it has been discovered that, although generation of the vortices in the dimple is never avoided, a golf ball if not provided with dimples, cannot get a sufficient lift action even though the drag can be much decreased, so that a longer driving distance cannot be obtained. That means, that although dimples are necessary to obtain the lift action and the circular dimples must be better than no dimples, but the circular dimples must not be best to decrease the drag power.
Accordingly the present invention is based on the new concept of aerodynamics and is to provide a golf ball, which comprises a spherical land surface of ball body and a dimple pattern comprising a plurality of dimples formed on the spherical land surface, wherein said spherical land surface is divided into a plurality of spherical land surface parts with each polygon faces of polyhedron which is virtually inscribed in said spherical surface of ball body (each spherical land surface parts are corresponding to each spherical faces projected from each polygon faces of the inscribed polyhedron to the spherical ball body), on each spherical land surface parts some or all of said dimples being formed as non-circular dimple having a width of more than 1.5 mm and a length of more than 2 times of the width and the dimple pattern is disposed so as to make vortices generated in the non-circular dimples flow out in at least two different directions.
In the present invention, it is observed that, since a non-circular dimple has a width of more than 1.5 mm and a length of more than 2 times of the width, the longitudinal or vertical vortices generate respectively with a time difference at the periphery of the non-circular dimples and flow out along the periphery of the non-circular dimples in a different direction, resulting in that the separating boundary layer becomes set back by 5 degree of angle in comparison with the conventional circular dimples as shown in
Accordingly, in a preferred embodiment of the present invention, it is to provides a golf ball wherein each spherical land surface corresponding to each polygon faces of the inscribed polyhedron (each spherical land surfaces can be made by projecting from each polygon faces of the inscribed polyhedron) is equipped with a flower-like dimple pattern which comprises a plurality of non-circular or petal dimples made of a pair of arcs or lines and extending in a radial fashion from a center to each apexes on the polygon faces of the inscribed polyhedron. The area occupied by the non-circular dimple can be adjusted by addition of one or some auxiliary or subsidiary dimples between the adjacent non-circular petal dimples. Furthermore, in the present invention the regular polyhedron inscribed in the spherical ball body may be selected from the group consisting of a regular tetrahedron, a regular hexahedron, a regular octahedron, a regular dodecahedron, and regular icosahedrons. Alternatively as the polyhedron inscribed in the spherical ball body, some truncated polyhedrons may be selected. The truncated polyhedron can be made by cutting off a part of each apexes of a variety of the regular polyhedron including a regular tetrahedron, a regular hexahedron, a regular octahedron, a regular dodecahedron, and regular icosahedrons. The truncated polyhedron provides a variety of faces including a bigger remaining face or a smaller cut face by cutting off a part of each apexes of the polyhedron, so that in case of the smaller cut face, a small auxiliary dimple may be formed on the spherical land surface while in case of the bigger remaining face, a non-circular dimple may be formed on the spherical land surface.
In the present invention, the depth of the non-circular dimples is necessary in a same manner of the conventional dimples so as to create turbulent flows by the airflow surrounding the ball. For example the non-circular dimples may be made in the depth range of 0.2 to 0.5 mm.
To sum it up, according to the present invention, the spherical land parts are made according to a concept that the ball spherical surface is divided into a plurality of spherical surface parts with each polygon faces of polyhedron virtually inscribed in the spherical surface of ball body. On each spherical surface parts, some or all of the dimples are formed as a non-circular dimple having a width of more than 1.5 mm and a length of more than 2 times of the width, so that vortices generated in the non-circular dimples do not stay in the dimples and flow along the longitudinal direction of the non-circular dimples and the vertical vortices easily flow out in at least two different directions. The different flows of the vortices causes the vertical vortices generated in the neighboring dimples to interfere with each other, so that all of the vortices totally tend not to stay in the dimples and easy to flow out rearward, resulting in further rearward movement of the separation boundary. In case of insufficient lift power caused by a smaller area occupied by non-circular dimples, it is possible to increase the lift power by making additional circular or polygonal dimples on the remaining land surface parts.
According to the conventional circular dimples the vortices generated by the dimples tend to stay in the dimples, while according to this inventive non-circular dimples the vortices generated by the non-circular dimples generate with a time difference, so that the vortices tend not to stay in the non-circular dimples and flow easily along the oblong periphery of the non-circular dimples.
The present invention will be explained in conjunction with illustrative embodiments shown in the accompanying drawings, in which
a) and (b) are function comparative views between the prior art and the present invention, wherein (a) shows the prior art function based on the circular dimples and (b) shows the present inventive function based on the non-circular dimples;
a) to (f) are explanation views for explaining a method of forming a dimple pattern on each spherical land surfaces divided with each faces of tetrahedron inscribed in a spherical ball body; wherein (a) is a perspective view showing a tetrahedron to be inscribed; (b) shows an inscribed spherical ball body of the tetrahedron (a); (c) shows a flower-like dimple pattern on a regular hexagon spherical surface corresponding to one of hexagon faces made from regular triangle faces of a regular tetrahedron formed by cutting off one-third of each apexes so as to divide each ridge lines into three shares (1:1:1); (d) is a perspective view showing a truncated tetrahedron formed by cutting a part of each apexes of the tetrahedron so as to divide each ridge lines into (1:3:1); (e) shows a flower-like dimple pattern on a hexagon spherical land surface on a spherical ball body projected from the corresponding one of hexagon faces of the truncated tetrahedron; (f) shows additional dimples on regular triangle spherical faces (1), (2) and (3) on a spherical ball body, projected from the corresponding one of cut faces of the truncated tetrahedron;
a) to (g) are explanation views for explaining a method of forming a dimple pattern on each spherical land surfaces projected from each faces of hexahedron inscribed in a spherical ball body; wherein (a) is a perspective view showing a hexahedron to be inscribed in a spherical ball body; (b) shows an inscribed spherical ball body of the hexahedron (a); (c) shows a truncated hexahedron formed by cutting off a part of each apexes of the hexahedron; (d) shows a flower-like dimple pattern on a octagon spherical land surface, projected from the corresponding one of cut remaining faces of the truncated hexahedron (c); (e) shows dimple patterns on triangle spherical faces with different additional dimples (1), (2) and (3) projected from the corresponding one of horizontal cut faces of the truncated hexahedron (c); (f) shows a regular truncated hexahedron by cutting off one-second of each apexes so as to divide the ridge lines into two shares(1:1); (g) shows a small flower-like dimple pattern on a regular triangle spherical land surface, projected from the corresponding one of triangle cut faces of the truncated tetrahedron (f); (h) shows a larger flower-like dimple pattern on a regular tetragon spherical surface, projected from the corresponding one of cut remaining tetragon faces of a regular truncated tetrahedron (f);
a) to (f) are explanation views for explaining a method of forming a dimple pattern on each spherical land surfaces projected from each faces of octahedron inscribed in a spherical ball body; wherein (a) is a perspective view showing an octahedron to be inscribed; (b) shows an inscribed spherical ball body of the octahedron (a); (c) shows a flower-like dimple pattern on a regular hexagon spherical surface of the spherical ball body projected from the corresponding one of cut hexagon faces of a regular octahedron formed by dividing each ridge lines into three shares(1:1:1); (d) shows a perspective view showing a truncated octahedron to be inscribed; e) shows a flower-like dimple pattern on a hexagon spherical surface, projected from the corresponding one of the remaining hexagon faces of the truncated octahedron (d) inscribed in a ball spherical body; (f) shows a regular tetragon faces with different additional dimples (1), (2) and (3), projected from the corresponding to one of the tetragon cut faces of the truncated octahedron (d);
a) to (h) are explanation views for explaining a method of forming a dimple pattern on each spherical land surfaces projected from each pentagon-shaped faces of dodecahedron inscribed in a spherical ball body; wherein (a) is a perspective view showing a dodecahedron to be inscribed in a spherical ball body; (b) shows an inscribed spherical ball body of the dodecahedron (a); (c) shows a truncated dodecahedron formed by cutting off a part of each apexes of the dodecahedron (a); (d) shows a flower-like dimple pattern (1) on a decagon spherical surface projected from the corresponding one of decagon faces of the truncated dodecahedron (c); (e) shows a dimple pattern on triangle faces with different additional dimples (1), (2) and (3), projected from the corresponding one of triangle cut faces of the truncated dodecahedron (c); (f) shows a regular truncated dodecahedron by cutting off one-second of each apexes so as to divide the ridge lines into two shares(1:1); (g) shows a flower-like dimple pattern (3) on a regular pentagon spherical surface projected from the corresponding one of the remaining pentagon faces of the truncated tetrahedron (f); (h) shows a different flower-like dimple pattern (2) on a regular triangle face projected from the corresponding one of cut triangle faces of the truncated dodecahedron (f);
a) to (f) are explanation views for explaining a method of forming a dimple pattern on each triangle-shaped spherical faces projected from each faces of icosahedra inscribed in a spherical ball body; wherein (a) is a perspective view showing an icosahedra to be inscribed in a spherical ball body; (b) shows an inscribed spherical ball body of the icosahedra (a); (c) shows a dimple pattern on a regular hexagon spherical surface of a truncated icosahedra formed by cutting off one-third of each apexes so as to divide the ridge lines into three shares(1:1:1); (d) shows a truncated icosahedra formed by cutting off one-fifth of each apexes of icosahedra (a) so as to divide the ridge lines into three shares (1:3:1); (e) shows a flower-like dimple pattern (6) on hexagon spherical surfaces projected from the corresponding one of the remaining faces of the truncated dodecahedron (d); (f) shows a flower-like dimple pattern (5) on a regular pentagon spherical surfaces projected from the corresponding one of cut faces of the truncated tetrahedron (d);
wherein 1, 11 21 in all of the figures denote spherical ball bodies and 2, 12 and 22 denote oval non-circular dimples on the spherical land surfaces.
Hereinafter, the present invention will be explained n detail based on the following embodiments shown in the drawings.
(1) Method of manufacturing a non-circular dimple pattern on spherical land surfaces of an inscribed spherical ball body of the tetrahedron (a) as shown in
a) is a perspective view showing a tetrahedron to be inscribed in a spherical ball body and
(2) Method of manufacturing a non-circular dimple pattern on spherical land surfaces of an inscribed spherical ball body of the hexahedron (a) as shown in
a) is a perspective view showing a hexahedron to be inscribed in a spherical ball body and
(3) Method of manufacturing a non-circular dimple pattern on spherical land surfaces of an inscribed spherical ball body of the octahedron (a) as shown in
a) is a perspective view showing an octahedron to be inscribed in a spherical ball body and
(4) Method of manufacturing a non-circular dimple pattern on spherical land surfaces of an inscribed spherical ball body of the dodecahedron (a) as shown in
a) is a perspective view showing a dodecahedron to be inscribed in a spherical ball body and
(5) Method of manufacturing a non-circular dimple pattern on spherical land surfaces of an inscribed spherical ball body of the icosahedra (a) as shown in
a) is a perspective view showing icosahedra to be inscribed in a spherical ball body and
In the above examples, on the regular polyhedron spherical surface there are provided a dimple pattern comprising oval or non-circular dimples made of a pair of arcs combined in a closed fashion according to a concept that a turbulent flow is generated with a time difference at the periphery of the non-circular dimples and flow the resultant vortices along the arc periphery. The skill in the art can modify or arrange the dimple pattern described above into another dimple patterns within the concept of the present invention. For example, the present invention is to make a dimple pattern on the basis of the concept that the vertical vortices generated at the periphery of the dimples is made to flow out easily from the dimple and to move rearward, According to the inventive concept, it may be desired that the longitudinal length of the dimple is more than 2 times (4 mm) of the width of the dimple.
Further, since this invention relates to the spherical cover parts of the golf ball, it is needless to say that the concept of the present invention can be applied to golf balls provided with a variety of the internal structure such as multi-piece ball including not only 2 piece and 3 piece-ball but also 4 piece ball.
Number | Date | Country | Kind |
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2010-279934 | Dec 2010 | JP | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/JP2011/078854 | 12/14/2011 | WO | 00 | 6/13/2013 |