鞋氣墊吸震試驗之有限元素分析

Abstract

鞋氣墊吸震試驗係根據英國SATRA技術研究中心之試驗標準PM142所進行，此試驗標準主要針對鞋樣或鞋中底之測試所制定，為鞋業主要判定鞋樣或鞋中底舒適度與能量回饋率之試驗法。如今雖然鞋氣墊製做技術突破，但是在開發時依然以經驗法則為主，並無相應的分析系統輔助，因此若能建立起一組以有限元素法為基礎之分析系統，對鞋氣墊吸震試驗進行模擬與並輸出其分析結果提供參考，則可使氣墊設計工作進行的更有效率。

本研究根據超彈體材料的理論設計並規劃簡易拉力、平面剪力與液壓膨脹三種不同之材料實驗，並以MSC.Marc為有限元素模擬分析軟體進行計算。分別取得三種實驗數據後代入五參數項之三階Mooney-Rivlin超彈體方程式，計算出合適之材料參數以建立有限元素分析所需之超彈體材料模型。在此超彈體材料模型經過液壓膨脹實驗之有限元素模擬之驗證後，以Single-Step Houbolt為動態響應控制器，完成對鞋氣墊吸震試驗之動態有限元素分析模擬並與實際試驗比較驗證，最後對此模擬分析系統未來繼續發展的可能性作討論。

The shock absorption test of air-cushion in shoes is conducted according to experimental standard PM142, which is defined by SATRA for determining the percentage energy return and comfort of shoes. Although manufacturing technique had been improved these years, “try and error” is still the working method for designing. With developing finite element analysis system, simulation of the shock absorption test of air-cushion in shoes could now help the designer to work more efficiently.

In this research, three experiments had been conducted according to the theory of hyperelasicity: simple tension test, planar shear test and bulging test. By importing the results of these experiments, a hyperelastic material model for the air-cushion is defined by Mooney-Rivlin function of third order with five constants. After the material model is validated with MSC.Marc and bulging tests, the simulation of the shock absorption test of air-cushion in shoes is carried out by Single-Step Houbolt method. The simulation results agrees with shock absorption test.