Golf ball dimple profile
Golf ball dimples having a cross-sectional profile shape defined by the envelope of the response of an under damped harmonic oscillator are disclosed.
1. A method for defining a golf ball dimple surface, the method comprising:
providing a response of an under damped harmonic oscillator, wherein the response has an envelope of oscillation, OE, described by
OE
(
t
)
=
±
X
ⅇ
-
ζω
n
t
,
where
ζ
=
c
4
mk
,
ω
n
=
k
m
,
X
=
[
(
x
0
ω
d
)
2
+
(
v
0
+
ζω
n
x
0
)
2
]
1
/
2
ω
d
,
ω
d
=
ω
n
1
-
ζ
2
,
and where t is observation time, v is velocity, m is mass, k is the spring constant, c is the viscous damping coefficient;
defining a golf ball dimple profile based on the envelope of oscillation where the observation time is equal to one half of the dimple diameter; and
rotating the dimple profile 360° about a vertical axis to define the dimple surface.
2. A golf ball having a plurality of recessed dimples on the surface thereof, wherein at least a portion of the recessed dimples have a surface defined according to the method of claim 1 .