Golf Ball Dimple Plan Shapes for Aerodynamic Packing Efficiency
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Solution Overview
Problem
Existing golf ball designs focus little on the plan shape of dimples, which affects aerodynamic behavior and limits surface coverage uniformity and packing efficiency.
Innovation Solution
The use of non-circular dimple plan shapes defined by low frequency periodic functions, such as sine, sawtooth, or square wave functions, along a simple closed path, to enhance dimple packing efficiency and aerodynamic performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If circular dimple plan shapes are used, then manufacturing is simple, but surface coverage uniformity and packing efficiency are limited
Solution Approach 1:
The patent applies asymmetry by transitioning from traditional circular dimple shapes to non-circular plan shapes defined by periodic functions. This asymmetric design allows for optimized surface coverage and packing efficiency while maintaining manufacturing feasibility through defined mathematical boundaries.
Solution Approach 2:
The patent employs parameter changes by using periodic functions with adjustable parameters (amplitude, frequency, phase) to define dimple boundaries. This enables precise control over dimple geometry, size, and distribution, optimizing surface coverage uniformity and packing efficiency across the golf ball surface.
2Reliability
If traditional dimple geometries are used, then aerodynamic characteristics are maintained, but control over dimple geometry is limited
Solution Approach 1:
The patent uses parameter changes by defining dimple boundaries through periodic functions with adjustable parameters. This provides versatile control over dimple geometry while maintaining the turbulent boundary layer effects necessary for reliable aerodynamic performance.
Solution Approach 2:
The patent applies segmentation by dividing the golf ball surface into distinct dimple regions defined by periodic function boundaries. This segmentation allows independent optimization of different dimple zones while maintaining overall aerodynamic consistency.
3Quantity of substance
If non-circular dimple plan shapes are used, then packing efficiency is enhanced, but design complexity increases
Solution Approach 1:
The patent uses parameter changes by defining complex non-circular dimple shapes through periodic functions with controlled parameters. This mathematical approach simplifies the design process compared to freeform geometry while achieving enhanced packing efficiency and surface coverage.
Data Source
AI summary
The present disclosure is directed to golf balls having improved aerodynamic performance due, at least in part, to the selection of the plan shapes of the dimples thereon. In particular, the present invention is directed to a golf ball that includes at least a portion of its dimples having a plan shape defined by a Clausen function of order 2 mapped along a simple closed path. Additionally, the present invention provides methods for designing dimples having a plan shape defined by a Clausen function of order 2 mapped along a simple closed path.


