Golf ball dimple profile defined by modified cycloid curve
Various aspects of a dimple pattern for a golf ball are disclosed herein. In one aspect, the golf balls disclosed herein can include dimples having a profile that is defined by a modified cycloid curve.
1 . A golf ball having a plurality of dimples on a surface thereof, wherein at least a subset of the plurality of dimples has a cross-sectional dimple profile defined by x-y coordinates, wherein x=0 corresponds to a central axis of the cross-sectional dimple profile, y=−c d corresponds to a maximum depth of the cross-sectional dimple profile which is defined at the central axis, and the cross-sectional dimple profile is symmetrical about the central axis,
wherein a cross-sectional dimple profile is defined by a modified cycloid curve, and the modified cycloid curve is rotated about the central axis to define the cross-sectional dimple profile of the plurality of dimples,
wherein the modified cycloid curve is defined by:
{
x
=
D
2
π
(
θ
-
sin
θ
)
-
D
2
y
=
c
d
2
(
cos
θ
-
1
)
,
with
0
≤
θ
<
2
π
where D is a dimple diameter, c d is a chord depth, and θ is an angular displacement along the modified cycloid curve.
2 . The golf ball according to claim 1 , wherein an intersection angle of each dimple among the subset of the plurality of dimples is least 90 degrees.
3 . The golf ball according to claim 1 , wherein the subset of the plurality of dimples includes at least 50% of a total quantity of the plurality of dimples.
4 . The golf ball according to claim 1 , wherein the subset of the plurality of dimples includes at least 75% of a total quantity of the plurality of dimples.
5 . The golf ball according to claim 1 , wherein the subset of the plurality of dimples includes 100% of a total quantity of the plurality of dimples.
6 . The golf ball according to claim 1 , wherein the dimple diameter of each dimple among the subset of the plurality of dimples is 0.100 inches-0.225 inches.
7 . The golf ball according to claim 1 , wherein the dimple diameter of each dimple among the subset of the plurality of dimples is 0.125 inches-0.180 inches.
8 . The golf ball according to claim 1 , wherein the chord depth of each dimple among the subset of the plurality of dimples is 0.0025 inches-0.0075 inches.
9 . The golf ball according to claim 1 , wherein the chord depth of each dimple among the subset of the plurality of dimples is 0.0040 inches-0.0055 inches.
10 . The golf ball according to claim 1 , wherein the cross-sectional dimple profile has a continuously variable radius of curvature.
11 . A golf ball having a plurality of dimples on a surface thereof, wherein at least a subset of the plurality of dimples has a cross-sectional dimple profile defined by x-y coordinates,
wherein x=0 corresponds to a central axis of the cross-sectional dimple profile, y=−c d corresponds to a maximum depth of the cross-sectional dimple profile which is defined at the central axis, and the cross-sectional dimple profile is symmetrical about the central axis,
wherein a cross-sectional dimple profile is defined by a modified cycloid curve, and the modified cycloid curve is rotated about the central axis to define the cross-sectional dimple profile of the plurality of dimples,
wherein x-coordinates of the modified cycloid curve are only dependent on a dimple diameter and an angular displacement along the modified cycloid curve, and
y-coordinates of the modified cycloid curve are only dependent on a chord depth and an angular displacement along the modified cycloid curve.
12 . The golf ball according to claim 11 , wherein an intersection angle of each dimple among the subset of the plurality of dimples is least 90 degrees.
13 . The golf ball according to claim 11 , wherein the dimple diameter of each dimple among the subset of the plurality of dimples is 0.100 inches-0.225 inches.
14 . The golf ball according to claim 11 , wherein the chord depth of each dimple among the subset of the plurality of dimples is 0.0025 inches-0.0075 inches.