Golf Ball Dimple Design Using Surface Roughness and Convex-Concave Area Ratios
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Solution Overview
Problem
Conventional golf ball dimple design methods require a trial-and-error approach to achieve ideal aerodynamic performance, leading to inconsistent air resistance reduction and carry distance.
Innovation Solution
A method for designing golf balls with specific parameters for dimple distribution, including a total number of 400 or fewer dimples, surface roughness of 0.085 mm or less, and a ratio of convex to concave surface areas, to optimize air resistance and aerodynamic performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of energy
If a large number of dimples are disposed uniformly on the golf ball surface to reduce air resistance, then aerodynamic performance is improved, but the design requires trial-and-error processes to achieve ideal performance
Solution Approach 1:
The invention changes the design parameters from conventional approaches by establishing specific quantitative criteria: total number of dimples N ≤ 400, surface roughness Rda ≤ 0.085 mm, and the ratio Srt/Sru ≤ 0.9. These parameter changes enable systematic design without trial-and-error while achieving optimal aerodynamic performance.
Solution Approach 2:
The invention replaces the mechanical trial-and-error design process with a mathematical optimization approach. By using cross-sectional area calculations and establishing precise geometric relationships between convex and concave surfaces, the design can be determined through calculation rather than iterative physical testing.
2Loss of energy
If dimples are disposed uniformly on the golf ball surface to reduce air resistance, then aerodynamic performance is improved, but the design complexity increases
Solution Approach 1:
The invention segments the golf ball surface into measurable cross-sections (first cross-section through poles, second cross-section through center, third cross-section along equator) and defines specific regions (convex parts, concave parts) within each. This segmentation allows complex surface geometry to be analyzed through simpler, standardized measurements.
Solution Approach 2:
The invention simplifies the design complexity by transforming the complex dimple arrangement problem into parameter optimization. By defining specific constraints on N, Rda, and Srt/Sru ratio, the complex geometric design is reduced to satisfying quantitative criteria that can be systematically achieved.
3Loss of energy
If the total number of dimples is increased to reduce air resistance, then aerodynamic performance is improved, but the surface roughness increases
Solution Approach 1:
The invention resolves this contradiction by establishing a balanced parameter relationship: N ≤ 400 dimples total, with surface roughness Rda ≤ 0.085 mm. The design optimizes the trade-off by controlling both parameters simultaneously rather than maximizing one at the expense of the other.
Solution Approach 2:
The invention uses calculated cross-sectional areas (Srt for convex parts, Sru for concave parts) as representative values for the entire surface. By using these averaged measurements from specific cross-sections, the design can control overall surface roughness without requiring precise control of every individual dimple feature.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The method effectively reduces air resistance and enhances aerodynamic performance, resulting in a stable carry distance by ensuring uniform dimple distribution and reduced drag.
Implementation Method 1
high repulsion of the golf ball itself and reduction of air resistance by disposing dimples on the surface of the golf ball are important in obtaining a long carry distance
Implementation Method 2
a method for designing a golf ball that reduces the air resistance of the golf ball and enables stable carry by effectively disposing dimples on the surface of the golf ball
Data Source
AI summary
A method for manufacturing a golf ball includes the step of designing plural dimples on a surface of the golf ball so as to satisfy the following parameters. A total number N of the dimples is approximately 400 or less; a surface roughness Rda of the golf ball is approximately 0.085 mm or less; and a value obtained by dividing an average convex part surface area Srt in the first cross-section and the second cross-section by an average concave part cross-section Sru in the first cross-section and the second cross-section is approximately 0.9 or less. The golf ball surface roughness Rda is the average value of a first golf ball cross-section surface roughness Rp, a second golf ball cross-section surface roughness Rm, and a third golf ball cross-section surface roughness Rs. The average convex part surface area Srt is the average value of a first convex part surface area Art that, in the first cross-section, is surrounded by the reference spherical surface and the golf ball surface that is higher than the reference spherical surface and a second convex part surface area Art that, in the second cross-section, is surrounded by the reference spherical surface and the golf ball surface that is higher than the reference spherical surface.