Method of analyzing physical property of golf ball and method of manufacturing golf ball

• US 20020023508A1
• Filed: 07/26/2001
• Published: 02/28/2002
• Est. Priority Date: 08/10/2000
• Status: Active Grant

• Current Assignee: Sumitomo Rubber Industries Limited
• Original Assignee: Sumitomo Rubber Industries Limited
• Inventors: Miyamoto, Kazuyoshi
• Granted Patent: US 6,556,944 B2
• Time in Patent Office: Days
• US Class Current: 73/866
• CPC Class Codes: A63B 37/0003 Golf balls
• CPC Class Codes: A63B 37/0011 Grooves or lines

Abstract

A ⅛ model is obtained at the steps of (A1) assuming a small cube, (A2) dividing the small cube into meshes, thereby obtaining a nodal point, (A3) projecting the nodal point included in each of three surfaces of the small cube which is not coincident with three planes of a ⅛ sphere onto a spherical surface of a small ⅛ sphere, thereby obtaining a new nodal point, (A4) dividing a space between the spherical surface of the small ⅛ sphere and that of the ⅛ sphere through spherical surfaces of a plurality of intermediate ⅛ spheres setting origins to be centers thereof, and (A5) sequentially repeating an operation for projecting a nodal point present on an inner spherical surface onto a spherical surface adjacent to an outside thereof from the small ⅛ sphere to the ⅛ sphere through the intermediate ⅛ spheres. The ⅛ model is expanded to obtain a finite element golf ball model.

Claims

1. A method of analyzing a physical property of a golf ball comprising the steps of:

(A) dividing, into eight equal portions, the golf ball having a center thereof positioned on an origin of three planes orthogonal to each other at the origin and dividing a ⅛

sphere thus obtained into a large number of meshed elements, thereby obtaining a ⅛

model;

(B) combining the ⅛

model obtained at the step (A), thereby obtaining a finite element golf ball model having an almost spherical shape, an almost semispherical shape or an almost ¼

spherical shape; and

(C) analyzing the physical property of the golf ball through a finite element method using the finite element golf ball model obtained at the step (B),

the step (A) including the steps of;

(A1) assuming a small cube in which one apex is coincident with an origin and three of six surfaces are coincident with three planes of the ⅛

sphere, respectively;

(A2) dividing the small cube into meshes, thereby obtaining a nodal point;

(A3) projecting the nodal point included in each of the three surfaces of the small cube which is not coincident with the three planes of the ⅛

sphere onto a spherical surface of a small ⅛

sphere including a small cube and setting an origin to be a center thereof, thereby obtaining a new nodal point;

(A4) dividing a space between the spherical surface of the small ⅛

sphere and that of the ⅛

sphere through spherical surfaces of a plurality of intermediate ⅛

spheres setting origins to be centers thereof; and

(A5) sequentially repeating an operation for projecting a nodal point present on an inner spherical surface onto a spherical surface adjacent to an outside thereof from the small ⅛

sphere to the ⅛

sphere through the intermediate ⅛

spheres.

2. A method of analyzing a physical property of a golf ball comprising the steps of:

(D) dividing the golf ball into a large number of meshed elements, thereby obtaining a finite element golf ball model having an almost spherical shape; and

(E) analyzing the physical property of the golf ball through a finite element method using the finite element golf ball model obtained at the step (D),

the step (D) including the steps of;

(D1) assuming a small cube positioned on a center of the golf ball;

(D2) dividing the small cube into meshes, thereby obtaining a nodal point;

(D3) projecting a nodal point on a surface of the small cube onto a spherical surface of a small sphere including a small cube and having a center thereof coincident with a center of the golf ball, thereby obtaining a new nodal point;

(D4) dividing a space between the spherical surf ace of the small sphere and that of the golf ball through spherical surfaces of a plurality of intermediate spheres having centers thereof coincident with the center of the golf ball; and

(D5) sequentially repeating an operation for projecting a nodal point present on an inner spherical surface onto a spherical surface adjacent to an outside thereof from the small sphere to the spherical surface of the golf ball through the intermediate spheres.

3. A method of analyzing a physical property of a golf ball comprising the steps of:

(F) dividing the golf ball into a large number of meshed elements, thereby obtaining a finite element golf ball model having an almost spherical shape, an almost semispherical shape or an almost ¼

spherical shape; and

(G) analyzing the physical property of the golf ball through a finite element method using the finite element golf ball model obtained at the step (F),

the step (F) including the steps of;

(F1) assuming a semicircle having a diameter almost equal to a diameter of the golf ball;

(F2) assuming a plurality of radial lines extended from a center of the semicircle toward an arc of the semicircle and a plurality of semicircular arcs which are concentric with the semicircle and have smaller diameters than a diameter of the semicircle;

(F3) obtaining a plurality of nodal points coincident with an intersecting point of the semicircle and semicircular arc and the radial line; and

(F4) rotating the semicircle by setting a diameter line thereof to be a rotation axis, thereby expanding the nodal point obtained at the step (F3).

4. A method of analyzing a physical property of a golf ball comprising the steps of:

(H) obtaining a finite element golfball model including a large number of elements through mesh formation such that a ratio of hexahedron elements to all the elements is 95% or more; and

(I) analyzing the physical property of the golf ball through a finite element method using the finite element golf ball model obtained at the step (H).

5. A method of manufacturing a golf ball in which a specification of the golf ball is determined based on information obtained by an analyzing method comprising the following steps and the golf ball is manufactured based on the specification, the analyzing method comprising the steps of:

(A) dividing, into eight equal portions, the golf ball having a center thereof positioned on an origin of three planes orthogonal to each other at the origin and dividing a ⅛

sphere thus obtained into a large number of meshed elements, thereby obtaining a ⅛

model;

(B) combining the ⅛

model obtained at the step (A), thereby obtaining a finite element golf ball model having an almost spherical shape, an almost semispherical shape or an almost ¼

spherical shape; and

(C) analyzing the physical property of the golf ball through a finite element method using the finite element golf ball model obtained at the step (B),

the step (A) including the steps of;

(A1) assuming a small cube in which one apex is coincident with an origin and three of six surfaces are coincident with three planes of the ⅛

sphere, respectively;

(A2) dividing the small cube into meshes, thereby obtaining a nodal point;

(A3) projecting the nodal point included in each of the three surfaces of the small cube which is not coincident with the three planes of the ⅛

sphere onto a spherical surface of a small ⅛

sphere including a small cube and setting an origin to be a center thereof, thereby obtaining a new nodal point;

(A4) dividing a space between the spherical surface of the small ⅛

sphere and that of the ⅛

sphere through spherical surfaces of a plurality of intermediate ⅛

spheres setting origins to be centers thereof; and

(A5) sequentially repeating an operation for projecting a nodal point present on an inner spherical surface onto a spherical surface adjacent to an outside thereof from the small ⅛

sphere to the ⅛

sphere through the intermediate ⅛

spheres.

6. A method of manufacturing a golf ball in which a specification of the golf ball is determined based on information obtained by a method of analyzing a physical property of the golf ball comprising the following steps and the golf ball is manufactured based on the specification, the analyzing method comprising the steps of:

(D) dividing the golf ball into a large number of meshed elements, thereby obtaining a finite element golf ball model having an almost spherical shape; and

(E) analyzing the physical property of the golf ball through a finite element method using the finite element golf ball model obtained at the step (D),

the step (D) including the steps of;

(D1) assuming a small cube positioned on a center of the golf ball;

(D2) dividing the small cube into meshes, thereby obtaining a nodal point;

(D3) projecting a nodal point on a surface of the small cube onto a spherical surface of a small sphere including a small cube and having a center thereof coincident with a center of the golf ball, thereby obtaining a new nodal point;

(D4) dividing a space between the spherical surface of the small sphere and that of the golf ball through spherical surfaces of a plurality of intermediate spheres having centers thereof coincident with the center of the golf ball; and

(D5) sequentially repeating an operation for projecting a nodal point present on an inner spherical surface onto a spherical surface adjacent to an outside thereof from the small sphere to the spherical surface of the golf ball through the intermediate spheres.

7. A method of manufacturing a golf ball in which a specification of the golf ball is determined based on information obtained by a method of analyzing a physical property of the golf ball comprising the following steps and the golf ball is manufactured based on the specification, the analyzing method comprising the steps of:

(F) dividing the golf ball into a large number of meshed elements, thereby obtaining a finite element golf ball model having an almost spherical shape, an almost semispherical shape or an almost ¼

spherical shape; and

(G) analyzing the physical property of the golf ball through a finite element method using the finite element golf ball model obtained at the step (F),

the step (F) including the steps of;

(F1) assuming a semicircle having a diameter almost equal to a diameter of the golf ball;

(F2) assuming a plurality of radial lines extended from a center of the semicircle toward an arc of the semicircle and a plurality of semicircular arcs which are concentric with the semicircle and have smaller diameters than a diameter of the semicircle;

(F3) obtaining a plurality of nodal points coincident with an intersecting point of the semicircle and semicircular arc and the radial line; and

(F4) rotating the semicircle by setting a diameter line thereof to be a rotation axis, thereby expanding the nodal point obtained at the step (F3).

8. A method of manufacturing a golf ball in which a specification of the golfball is determined based on information obtained by a method of analyzing a physical property of the golf ball comprising the following steps and the golf ball is manufactured based on the specification, the analyzing method comprising the steps of:

(H) obtaining a finite element golfball model including a large number of elements through mesh formation such that a ratio of hexahedron elements to all the elements is 95% or more; and

(I) analyzing the physical property of the golf ball through a finite element method using the finite element golf ball model obtained at the step (H).