US2026041966A1PendingUtilityA1
Golf ball dimples defined by superposed curve with decaying feature
Est. expiryJun 14, 2043(~16.9 yrs left)· nominal 20-yr term from priority
A63B 37/002A63B 37/0015A63B 37/0012A63B 37/0006
74
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Claims
Abstract
A golf ball having a plurality of dimples on a surface thereof is disclosed herein. At least a first group of the plurality of dimples has a cross-sectional dimple profile defined by a superposed function resulting from a sum of at least a first function and a second function. The first function can be defined by at least one of: a circular arc or a catenary curve, and the second function can be defined by a decaying dual bell curve sinusoidal function.
Claims
exact text as granted — not AI-modifiedWhat is claimed is:
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 a superposed function resulting from a sum of at least a first function and a second function,
wherein the first function is defined by at least one of: a circular arc or a catenary curve, and wherein the second function is defined by a dual bell curve-driven decaying sinusoidal function.
2 . The golf ball according to claim 1 , wherein the dual bell curve-driven decaying sinusoidal function is a dual bell curve-driven decaying positive sinusoidal function defined by:
y
(
x
)
=
α
c
d
(
e
-
(
k
(
x
ε
D
D
2
)
)
2
+
e
-
(
k
(
x
+
ε
D
D
2
)
)
2
)
cos
(
bx
)
where:
(α) is an amplitude factor and 0.01≤α≤1.0,
(c d ) is a chord depth (in inches) of the first function,
(k) is a damping constant,
(D D ) is a dimple diameter (in inches),
(b) is an oscillation frequency constant,
(x) is a radial distance (in inches) from a dimple centroid,
(ε) is a displacement coefficient of the dual bell curves from the dimple centroid,
wherein x=0 corresponds to the centroid of the cross-sectional dimple profile, and a three-dimensional dimple geometry is generated via rotation about x=0.
3 . The golf ball according to claim 2 , wherein the oscillation frequency constant (b) is dictated by the dimple diameter (D D ) and is defined by:
b
=
2
π
n
D
D
where (n) is a quantity of sinusoidal oscillations between x=0 and x=(D D /2).
4 . The golf ball according to claim 3 , wherein the quantity of sinusoidal oscillations (n) is an integer.
5 . The golf ball according to claim 3 , wherein the quantity of sinusoidal oscillations (n) is not an integer.
6 . The golf ball according to claim 3 , wherein the oscillation frequency constant (b) is at least 25 and no greater than 650.
7 . The golf ball according to claim 2 , wherein the damping constant (k) is at least 5.
8 . The golf ball according to claim 2 , wherein the displacement coefficient (ε) is at least 0.10.
9 . The golf ball according to claim 2 , wherein the displacement coefficient (ε) is no greater than 0.90.
10 . The golf ball according to claim 1 , wherein the bell curve-driven decaying sinusoidal function is a dual bell curve-driven decaying negative sinusoidal function defined by:
y
(
x
)
=
α
c
d
(
e
-
(
k
(
x
ε
D
D
2
)
)
2
+
e
-
(
k
(
x
+
ε
D
D
2
)
)
2
)
cos
(
bx
)
where:
(α) is an amplitude factor and 0.01≤α≤1.0,
(c d ) is a chord depth (in inches) of the first function,
(k) is a damping constant,
(D D ) is a dimple diameter (in inches),
(b) is an oscillation frequency constant,
(x) is a radial distance (in inches) from a dimple centroid,
(ε) is a displacement coefficient of the dual bell curves from the dimple centroid,
wherein x=0 corresponds to the centroid of the cross-sectional dimple profile, and a three-dimensional dimple geometry is generated via rotation about x=0.
11 . The golf ball according to claim 10 , wherein the oscillation frequency constant (b) is dictated by the dimple diameter (D D ) and is defined by:
b
=
2
π
n
D
D
where (n) is a quantity of sinusoidal oscillations between x=0 and x=(D D /2).
12 . The golf ball according to claim 11 , wherein the quantity of sinusoidal oscillations (n) is an integer.
13 . The golf ball according to claim 11 , wherein the quantity of sinusoidal oscillations (n) is not an integer.
14 . The golf ball according to claim 11 , wherein the oscillation frequency constant (b) is at least 25 and no greater than 650.
15 . The golf ball according to claim 10 , wherein the damping constant (k) is at least 5.
16 . The golf ball according to claim 10 , wherein the displacement coefficient (ε) is at least 0.10.
17 . The golf ball according to claim 10 , wherein the displacement coefficient (ε) is no greater than 0.90.
18 . The golf ball according to claim 10 , wherein the displacement coefficient (ε) is 0.20-0.40.
19 . The golf ball according to claim 1 , wherein the first function is a catenary curve defined by:
y
(
x
)
=
c
d
(
cosh
(
SF
·
x
)
-
1
)
cosh
(
SF
·
D
D
2
)
-
1
where (SF) is a shape factor of the catenary curve.
20 . The golf ball according to claim 1 , wherein the first function is a circular arc.Join the waitlist — get patent alerts
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