不同材料模型於碳纖桿之機械性質探討

Discussion on Mechanical Properties of FRP Golf Shaft for Different Material Models

王栢村(Bor-Tsuen Wang) ； 廖學任(Hsueh-Ren Lioa) ； 李建興(Jian-Hsing Li)

《中華民國振動與噪音工程學會論文集》 2005 (2005/06) Pp. 378-385

https://doi.org/10.30028/CSSVANNUAL.200506.0378

摘要

本文結合有限元素分析與實驗模態分析以求得碳纖維高爾夫球桿之等效數學模型，並探討其機械性質。驗證方法首先分別以等向性材料模型、正向性材料模型、以及非等向性材料模型，等三種不同材料模型建構碳纖維球桿之有限元素模型以進行模態分析，進一步分別求得球桿在自由邊界條件與固定邊界條件之自然頻率與模態振型。並做碳纖維球桿實驗量測經曲線嵌合所擷取出的模態參數與有限元素分析進行比對驗證。以實驗量測所得球桿之自然頻率為基準，進行最佳化分析，使有限元素分析與實驗量測之自然頻率吻合，比對驗證求得球桿之楊氏係數、蒲松比、剪力模數，探討其材料機械性質，進而建立球桿之等效數學模型。未來可將以機械性質所建立之數學模型應用於含球頭之高爾夫球桿之應力或振動特性之應用分析。

關鍵字

有限元素分析 ； 實驗模態分析 ； 等向性材料模型 ； 正向性材料模型 ； 非等向性材料模型

並列摘要

This paper adopts finite element analysis (FEA) and experimental modal analysis (EMA) to obtain the equivalent mathematical model of a FRP golf shaft, respectively. The FE model of golf club is first constructed considering three different material models, including isotropic, orthotropic, and anisotropic. Theoretical modal analysis is then performed to determine the structure modal parameters for both free-free and fixed-free boundary conditions. EMA is also performed to experimentally extract modal parameters of the golf shaft, including natural frequencies, mode shapes and damping ratios. Based on the experimentally measured modal parameters, optimum analysis is performed to predict the Young's modulus, Poisson ratio and Shear modulus such that both analytical and experimental modal parameters agree with each others, and so forth the equivalent FE model can be validated and further applied to other stress and vibration analysis of the golf club with the head.

並列關鍵字

finite element analysis ； experimental modal analysis ； isotropic ； orthotropic ； anisotropic