Composite Head Modal Damping Prediction via Maxwell Model
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Solution Overview
Problem
It is challenging to predict the modal damping ratio of composite heads, which affects the accuracy of ball hitting sound prediction in golf clubs, leading to undesirable short-time ball hitting sounds and the need for trial production and evaluation.
Innovation Solution
A method using a generalized Maxwell model to predict the modal damping ratio by presuming coefficients based on known material damping ratios for materials like CFRP and titanium alloys, creating a calculation model for impact response analysis and frequency response function calculation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Weight of moving object
If a composite head including CFRP is used, then weight reduction and center of gravity positioning are improved, but the ball hitting sound becomes short-time and undesirable
Solution Approach 1:
The patent changes the material damping ratio parameter in the simulation model to match experimental values, which enables accurate prediction of ball hitting sound duration. This allows designers to evaluate different material combinations and configurations virtually before production, optimizing both weight and sound duration characteristics without requiring physical prototypes.
Solution Approach 2:
The patent creates a virtual copy of the composite head through finite element analysis models that incorporate experimentally-validated damping ratios. This digital twin allows for repeated evaluation of ball hitting sound characteristics with different material configurations without physical manufacturing, enabling optimization of both weight reduction and sound duration.
2Measurement precision
If trial production and evaluation are conducted to improve ball hitting sound, then sound quality is improved, but time and productivity are reduced
Solution Approach 1:
The patent performs preliminary evaluation of ball hitting sound quality through finite element analysis with experimentally-validated damping ratios before actual production. By incorporating measured damping values into the simulation model in advance, designers can predict sound quality characteristics and make necessary design modifications virtually, eliminating the need for repeated trial productions and significantly improving development efficiency.
Solution Approach 2:
The patent replaces the physical trial production and evaluation system with a computational simulation system. By substituting physical prototypes with finite element analysis models that use experimentally-validated material damping ratios, the system maintains measurement precision for ball hitting sound quality while eliminating the time-consuming iterative manufacturing process.
3Measurement precision
If experimental modal analysis is conducted on a real head to obtain damping values, then accuracy is improved, but the process becomes complex and requires physical head production
Solution Approach 1:
The patent introduces an intermediary step where damping values are first measured experimentally on a reference head, then these measured values are transferred to and used in the finite element analysis model for subsequent simulations. This intermediary approach allows the experimental data to serve as input parameters for the computational model, enabling accurate predictions without requiring physical heads for each design iteration.
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
This method allows for accurate prediction of the modal damping ratio, enabling the design of golf club heads to produce a longer ball hitting sound without the need for trial production, improving sound quality and efficiency.
Implementation Method 1
The complex modulus G*(ω) is represented by the following formula (6). The modulus G*(ω) is referred to as a complex modulus. G' (ω) which is a real part is referred to as a dynamic modulus. G'' (ω) which is an imaginary part is referred to as a loss modulus.
Data Source
AI summary
A prediction method according to the present invention is a method for predicting a modal damping ratio of a composite head including two or more kinds of materials including a first material and a second material. The method includes the steps of: presuming at least a coefficient Px of a generalized Maxwell model M1 in the first material using a known material damping ratio ζ1; obtaining a calculation model of the head using the generalized Maxwell model M1; and calculating the modal damping ratio of the head based on analysis of the head using the calculation model. Preferably, the Maxwell model is further used also for the second material. Preferably, the method further includes the step of presuming a coefficient Py of a generalized Maxwell model M2 in the second material using a known material damping ratio ζ2.