應用實驗模態分析於高爾夫球頭素料之材料性質測定

Determination of Golf Club Material Properties by Experimental Modal Testing

王柏村(Bor-Tsuen Wang) ； 趙志燁(Chi-Yeh Chao) ； 吳建德(Jian-Teh Wu)

《中華民國振動與噪音工程學會論文集》 1999 (1999/05) Pp. 68-73

https://doi.org/10.30028/CSSVANNUAL.199905.0068

摘要

本文係應用實驗模態分析法，將材料形狀模擬成懸臂樑的型式，以實驗模態的方法求得材料的自然頻率，再配合半能量點法與阻尼比修正的方法，求得其材料阻尼比，並利用在實驗模態方法中所求得的自然頻率與有限元素分析結果相互比較以求得材料的楊氏係數：主要分析目前商業高爾夫球頭桿常用之素材，如Ti-6Al-4V，17-4PH和304SS，同時亦分析高強度高韌性鐵鋁錳(FeAlMnC合金）合金鋼板。根據實驗結果可知：Ti-6Al-4V、17-4PH、304SS、FeAlMnC合金的阻尼比在第一模態時分別為：0.0160、0.0107、0.0224、0.0306，而楊氏係數分別為：101、199、196、202 GPa。其中以FeAlMnC合金具有最大阻尼比和楊氏係數之材料性質。此外，本研究實驗模態分析之楊氏係數和理論值比較可知：Ti-6Al-4V合金誤差為8.18%, 17-4PH與304SS誤差為1.53%, FeAlMnC誤差為l%，因此本文所建立之楊氏係數與阻尼比量測步驟，應可供工業界使用參考。

並列摘要

This paper presents the use of experimental modal testing method for the determination of golf club material properties, including Young's modulus and damping ratio. Four types of golf club materials, which are Ti-6Al-4V, 17-4PH, 304SS, and FeAlMnC alloy, are constructed as a cantilever beam structure, respectively, and tested to obtain the system frequency response function (FRF). The natural frequencies and damping ratio can then be extracted through the FRF by the half-power point method. Modal analysis of the cantilever beam is also performed via finite element analysis to fit the natural frequencies by adjusting the Young's modulus. The damping ratio and Young's modulus of the materials can, therefore, be determined experimentally and compared to the data from handbooks. Results show that satisfactory agreement can be achieved. The developed approach to determine the material properties can be further applied to other engineering applications.