碳纖維羽球拍框振動模態及破壞行為之研究

Characterizing Failure Behaviors of Composite Badminton Racket Frame

10.3966/207332672014100011005

唐光樾(Kuang-Yueh Tang)；劉宗翰(Tsung-Han Liu)；王子瑋(Tzu-Wei Wang)；蔡佳霖(Jia-Lin Tsai)

有限元素分析 ； 羽球拍 ； 破壞分析 ； finite element analysis ； badminton racket ； failure behaviors

華人運動生物力學期刊

11期（2014 / 10 / 01）

26 - 33

繁體中文

目的：本研究目的係建立有限元素分析模型，探討碳纖維複合材料羽球拍框之振動行為及壓縮破壞強度。方法：首先藉由有限元素分析建立羽球拍框材料及幾何模型，並分析其自然頻率及振動模態，最後透過漸進破壞分析法則來預估拍框結構壓縮破壞強度，模擬分析並與實驗量測進行比較。結果：羽球拍框結構之模態與自然頻率分析結果，均與實驗量測值相仿，最大的誤差約在9 %。在羽球拍框結構破壞研究方面，模擬分析與實驗結果約有4.8-14.1 %誤差，而分析破壞之位置則與實驗相當接近。結論與建議：經由模擬分析與實驗結果比較得知，本研究建立之有限元素分析方法，可以有效應用於碳纖維複材羽球拍框自然頻率及振動模態之分析；此外，經由漸進破壞法，即可預估羽球拍框之壓縮破壞強度。

Purpose: This research aimed to establish a finite element (FEM) model to characterize the natural frequency and mode shape as well as the compressive failure of badminton racket frame made by carbon/epoxy composites. Methods: The FEM model was generated initially based on the geometric configuration and the associated material properties of badminton racket frame. The natural frequency and model was analyzed and then the compressive failure of the frame was described using the progressive failure approach. Both simulation and experimental results were compared and discussed. Results: The natural frequency obtained from simulation corresponded well to the experimental data, and the maximum deviation was around 9%. In addition, the discrepancy in terms of the compressive strength of the frame structure between the model prediction and experiments was about 4.8%-14.1%. Failure locations obtained from the model prediction and experimental observation were quite close. Conclusions: Based on the comparison of model analysis and experimental results, the FEM model proposed in this study is able to effectively characterize the natural frequency and the model shape of the badminton racket frame as well as the compressive failure behaviors.

1. 蘇宣輔,劉于詮,吳季龍(2012)。羽球拍中心點、3點鐘與9點鐘位置撞擊聲音基頻之比較。華人運動生物力學期刊，7，52-55。
   連結：
2. (2010).ANSYS® Academic Research, Release 13.0 (2010)..
3. Allen, T.,Hart, J.,Spurr, J.,Haake, S.,Goodwill, S.(2010).Validated dynamic analysis of real sports equipment using finite element; a case study using tennis rackets.Procedia Engineering,2(2),3275-3280.
4. Garnich, M. R.,Akula, V. M.(2009).Review of degradation models for progressive failure analysis of fiber reinforced polymer composites.Applied Mechanics Reviews,62(1),010801.
5. Hibbeler, R. C.(2005).Mechanics of Materials.New Jersey USA:Pearson Education.
6. Liu, P.,Zheng, J.(2008).Progressive failure analysis of carbon fiber/epoxy composite laminates using continuum damage mechanics.Materials Science and Engineering: A,485(1),711-717.
7. Liu, X.,Wang, G.(2007).Progressive failure analysis of bonded composite repairs.Composite Structures,81(3),331-340.
8. Shokrieh, M. M.,Rafiee, R.(2006).Simulation of fatigue failure in a full composite wind turbine blade.Composite Structures,74(3),332-342.
9. Tsai, S. W.,Hahn, H. T.(1980).Introduction to Composite Materials.Pennsylvania USA:Technomic.
10. 李佳旻(2013)。新竹市，國立交通大學。
11. 李佳旻,盧廷鉅,劉宗翰,張鎮宇,蔡佳霖(2014)。建立有限元素模型來描述羽球拍之機械行為。華人運動生物力學期刊，10，30-36。
12. 唐光樾(2014)。新竹市，國立交通大學。

1. 葉詠睿,陳羿揚,梁嘉文,邱文信(2021)。合作學習結合STEAM複合式教學策略於提升運動生物力學課程教學效能評估。體育學報，54(4)，349-362。