US2020398115A1PendingUtilityA1

Golf ball dimples defined by superposed curves

Assignee: ACUSHNET COPriority: Dec 22, 2010Filed: Aug 31, 2020Published: Dec 24, 2020
Est. expiryDec 22, 2030(~4.4 yrs left)· nominal 20-yr term from priority
A63B 37/0015A63B 37/0016A63B 37/0019A63B 37/0012A63B 37/002
47
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Claims

Abstract

The present invention is a golf ball which comprises cat-witch dimples on the surface thereof. The cat-witch dimples have a cross-sectional shape defined by the superposition of a catenary curve function and a Witch of Agnesi curve function. The cat-witch dimples include a plurality of similarly shaped cat-witch dimples having at least two different dimple diameters.

Claims

exact text as granted — not AI-modified
What is claimed is: 
     
         1 . A golf ball having a surface with a plurality of recessed dimples thereon, including a plurality of similarly shaped cat-witch dimples having a circular plan shape and a profile defined by a cat-witch function resulting from the sum of a catenary function and a Witch of Agnesi function,
 the catenary function being defined by the equation:   
       
         
           
             
               
                 y 
                  
                 
                   ( 
                   x 
                   ) 
                 
               
               = 
               
                 
                   
                     d 
                     CAT 
                   
                    
                   
                     ( 
                     
                       
                         cosh 
                          
                         
                           ( 
                           
                             SF 
                             × 
                             x 
                           
                           ) 
                         
                       
                       - 
                       1 
                     
                     ) 
                   
                 
                 
                   
                     cosh 
                      
                     
                       ( 
                       
                         SF 
                         × 
                         
                           
                             D 
                             D 
                           
                           2 
                         
                       
                       ) 
                     
                   
                   - 
                   1 
                 
               
             
           
         
         
           where 
           d CAT  is chord depth (in inches), 
           D D  is dimple diameter (in inches), and 
           SF is a constant and has the same value for all of the similarly shaped cat-witch dimples; and 
         
         the Witch of Agnesi function being defined by the equation: 
       
       
         
           
             
               
                 y 
                  
                 
                   ( 
                   x 
                   ) 
                 
               
               = 
               
                 
                   
                     
                       - 
                       
                         C 
                         1 
                       
                     
                      
                     
                       a 
                       3 
                     
                   
                   
                     
                       x 
                       2 
                     
                     + 
                     
                       
                         C 
                         2 
                       
                        
                       
                         a 
                         2 
                       
                     
                   
                 
                 + 
                 
                   
                     
                       C 
                       1 
                     
                      
                     
                       a 
                       3 
                     
                   
                   
                     
                       
                         D 
                         D 
                         2 
                       
                       2 
                     
                     + 
                     
                       
                         C 
                         2 
                       
                        
                       
                         a 
                         2 
                       
                     
                   
                 
               
             
           
         
         
           where 
           D D  is dimple diameter (in inches), 
           C 1  is a constant and has the same value for all of the similarly shaped cat-witch dimples, 
           C 2  is a constant and has the same value for all of the similarly shaped cat-witch dimples, and 
           a is a dynamic variable wherein, for any two of the similarly shaped cat-witch dimples, including a first cat-witch dimple having a dimple diameter D D1  and dynamic variable a 1 , and a second cat-witch dimple having a dimple diameter D D2  and dynamic variable a 2 , if D D1 =D D2 , then a 1 =a 2 , and if D D1 ≠D D2 , then a 1 ≠a 2 ; 
         
         wherein the similarly shaped cat-witch dimples include dimples having at least two different diameters. 
       
     
     
         2 . The golf ball of  claim 1 , wherein the similarly shaped cat-witch dimples include dimples having at least three different diameters. 
     
     
         3 . The golf ball of  claim 1 , wherein the similarly shaped cat-witch dimples include dimples having at least four different diameters.

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