複合材料羽球拍揮拍與擊球行為之研究

Abstract

本研究主要目的為建立一有限元素方法，針對羽球拍揮拍擊球行為進行探討。首先利用ANSYS有限元素分析軟體建立碳纖維羽球拍疊層模型，分別進行模態與結構彎矩分析。透過上述兩性質之等效，本研究可建立具有等效材料性質之有限元素模型。接著將球拍等效模型結合簡化之網線模型進行不同張力恢復係數分析，模擬結果與實驗量測之趨勢相符，球線張力為24磅時，球拍具有最大的恢復係數。此外，本研究亦利用Tsai-Wu破壞準則來探討碳纖維拍框之首層破壞與其所對應之球線張力。 在動態擊球特性研究中，分別透過高速攝影機與感測器進行量測，並結合有限元素方法，對含球線張力之羽球拍等效模型進行擊球行為的探討。量測的訊息透過有限元素法分析，可以模擬球拍的揮拍歷程及擊球的響應，未來可作為碳纖維球拍設計之參考。

This research aims to establish an analytical approach for investigating the swing and impact behaviors of composite badminton racket. The finite element layer by layer model based on ANSYS commercial code was generated in terms of geometric configuration and material properties of badminton racket to characterize the bending behaviors and modal analysis. Through the equivalence of the above properties, the equivalent finite element model was created. Combined with the string model, the equivalent model was then employed to examine the coefficient of restitution in terms of different string tensions. It seems that when the string tension is 24 pounds, the racket demonstrates the highest value of coefficient of restitution. In addition, the first ply failure of the badminton racket was explored associated with different tensions using Tsai-Wu failure criterion. In the dynamic analysis, the impact behaviors of badminton racket were measured using either high speed camera or micro-electrical sensors. Together with the FEM model, the responses of the badminton racket with string model interacting with the badminton shuttle were investigated. It was found the measured signal with the proposed FEM can be adopted to simulate the trajectory of the badminton racket and be further adopted for the future design of the badminton racket.