US2025222308A1PendingUtilityA1

Golf ball dimples defined by superposed curve with decaying feature

Assignee: ACUSHNET COPriority: Jun 14, 2023Filed: Mar 28, 2025Published: Jul 10, 2025
Est. expiryJun 14, 2043(~16.9 yrs left)· nominal 20-yr term from priority
A63B 37/0012A63B 37/002A63B 37/0015A63B 37/0006
62
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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 bell curve sinusoidal function.

Claims

exact text as granted — not AI-modified
What 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 bell curve-driven decaying sinusoidal function.   
     
     
         2 . The golf ball according to  claim 1 , wherein the bell curve-driven decaying sinusoidal function is a bell curve-driven decaying positive sinusoidal function defined by: 
       
         
           
             
               
                 y 
                 ⁡ 
                 ( 
                 x 
                 ) 
               
               = 
               
                 
                   - 
                   α 
                 
                 ⁢ 
                 
                   c 
                   d 
                 
                 ⁢ 
                 
                   e 
                   
                     - 
                     
                       
                         ( 
                         
                           
                             2 
                             ⁢ 
                             x 
                           
                           
                             D 
                             D 
                           
                         
                         ) 
                       
                       2 
                     
                   
                 
                 ⁢ 
                 
                   cos 
                   ⁡ 
                   ( 
                   bx 
                   ) 
                 
               
             
           
         
         where (α) is an amplitude factor and 0.01≤α≤1.0, 
         where (c d ) is a chord depth (in inches) of the first function, 
         where (D D ) is a dimple diameter (in inches), 
         where (b) is an oscillation frequency constant, 
         where (x) is a radial distance (in inches) from a 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 quantity of sinusoidal oscillations (n) is 1.5-15.5. 
     
     
         7 . The golf ball according to  claim 3 , wherein the oscillation frequency constant (b) is at least 25 and no greater than 650. 
     
     
         8 . The golf ball according to  claim 1 , wherein the bell curve-driven decaying sinusoidal function is a bell curve-driven decaying negative sinusoidal function defined by: 
       
         
           
             
               
                 y 
                 ⁡ 
                 ( 
                 x 
                 ) 
               
               = 
               
                 
                   - 
                   α 
                 
                 ⁢ 
                 
                   c 
                   d 
                 
                 ⁢ 
                 
                   e 
                   
                     - 
                     
                       
                         ( 
                         
                           
                             2 
                             ⁢ 
                             x 
                           
                           
                             D 
                             D 
                           
                         
                         ) 
                       
                       2 
                     
                   
                 
                 ⁢ 
                 
                   cos 
                   ⁡ 
                   ( 
                   bx 
                   ) 
                 
               
             
           
         
         where (α) is an amplitude factor and 0.01≤α≤1.0, 
         where (c d ) is a chord depth (in inches) of the first function, 
         where (D D ) is a dimple diameter (in inches), 
         where (b) is an oscillation frequency constant, 
         where (x) is a radial distance (in inches) from a dimple centroid, and 
         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. 
       
     
     
         9 . The golf ball according to  claim 8 , 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). 
       
     
     
         10 . The golf ball according to  claim 9 , wherein the quantity of sinusoidal oscillations (n) is an integer. 
     
     
         11 . The golf ball according to  claim 9 , wherein the quantity of sinusoidal oscillations (n) is not an integer. 
     
     
         12 . The golf ball according to  claim 9 , wherein the quantity of sinusoidal oscillations (n) is 1.5-15.5. 
     
     
         13 . The golf ball according to  claim 9 , wherein the oscillation frequency constant (b) is at least 25 and no greater than 650. 
     
     
         14 . The golf ball according to  claim 1 , wherein the first function is a catenary curve defined by: 
       
         
           
             
               
                 y 
                 ⁡ 
                 ( 
                 x 
                 ) 
               
               = 
               
                 
                   
                     c 
                     d 
                   
                   ( 
                   
                     
                       cos 
                       ⁢ 
                       
                         h 
                         ⁡ 
                         ( 
                         
                           SF 
                           · 
                           x 
                         
                         ) 
                       
                     
                     - 
                     1 
                   
                   ) 
                 
                 
                   
                     cos 
                     ⁢ 
                     
                       h 
                       ⁡ 
                       ( 
                       
                         SF 
                         · 
                         
                           
                             D 
                             D 
                           
                           2 
                         
                       
                       ) 
                     
                   
                   - 
                   1 
                 
               
             
           
         
         where (SF) is a shape factor of the catenary profile. 
       
     
     
         15 . The golf ball according to  claim 1 , wherein the first function is a circular arc.

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