Golf Ball Dimple Profile Optimization via Weighting Functions
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Solution Overview
Problem
Existing golf ball dimple designs lack flexibility and control over dimple profiles, leading to suboptimal aerodynamic performance and surface characteristics.
Innovation Solution
The golf ball features dimples with cross-sectional profiles defined by the product of a base profile and one or more weighting functions, allowing for continuous, differentiable shapes that can be refined through multiplicative constructs, using polynomial, exponential, and trigonometric functions to alter specific regions of the dimple cross-section.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional dimple designs are used, then manufacturing is simple, but aerodynamic performance is suboptimal
Solution Approach 1:
The patent applies parameter changes by using mathematical functions (polynomial, exponential, trigonometric) to define and control dimple profile parameters such as edge angles, volumes, and chord depths. This allows systematic optimization of aerodynamic performance through controlled variation of geometric parameters while maintaining manufacturability.
Solution Approach 2:
The patent introduces dynamics by using weighting functions that can be adjusted to dynamically modify dimple profiles. The weighting functions allow for flexible control over different regions of the dimple cross-section, enabling optimization of aerodynamic characteristics without requiring completely new manufacturing processes.
2Manufacturing precision
If dimple profiles are simplified, then manufacturing is easier, but control over edge angles, volumes, and chord depths is reduced
Solution Approach 1:
The patent uses parameter changes by defining dimple profiles through mathematical functions with controllable parameters. The weighting functions allow independent adjustment of edge angles, volumes, and chord depths, providing precise control over manufacturing specifications while using systematic mathematical relationships to maintain profile coherence.
Solution Approach 2:
The patent introduces an intermediary mathematical framework (weighting functions) that mediates between manufacturing constraints and desired dimple characteristics. These functions serve as a bridge, translating manufacturing capabilities into precise control over edge angles, volumes, and chord depths without requiring direct complex manufacturing processes.
3Adaptability or versatility
If weighting functions are applied to base profiles, then flexibility and control over dimple profiles is improved, but mathematical complexity increases
Solution Approach 1:
The patent applies parameter changes through weighting functions that modify base profiles by controlling specific geometric parameters. Different weighting functions (polynomial, exponential, trigonometric) provide flexibility to achieve various dimple characteristics while using systematic mathematical approaches that can be implemented through computational design and manufacturing processes.
Solution Approach 2:
The patent achieves universality by using a family of weighting functions that can be applied to different base profiles to generate various dimple types. This multi-functional mathematical framework allows a single approach to control diverse dimple characteristics, providing versatility without requiring entirely different design methodologies for each dimple variation.
Data Source
AI summary
Golf ball dimples having a cross-sectional profile shape defined by the product of a base profile and one or more weighting functions are disclosed.