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| 研究生： |
謝和諺 Hsieh, He-Yen |
|---|---|
| 論文名稱： |
雙層圓柱正交性非均質圓管受扭力作用下之端部效應 The End Effects of Two-Layer Circular Tubes with Cylindrically Orthotropic Non-homogeneous Materials Under Torsion |
| 指導教授： |
褚晴暉
Chue, Ching-Hwei |
| 學位類別： |
碩士 Master |
| 系所名稱： |
工學院 - 機械工程學系 Department of Mechanical Engineering |
| 論文出版年： | 2011 |
| 畢業學年度： | 99 |
| 語文別： | 中文 |
| 論文頁數： | 46 |
| 中文關鍵詞： | 端部效應 、圓柱正交性 、聖維南定理 、狀態空間法 、特徵值展開 、材料異向性 、功能性材料 、複合材料 |
| 外文關鍵詞： | End effects, Cylindrically orthotropic, Non-homogeneous material, State space matrix, Eigen-function expansion |
| 相關次數： | 點閱：159 下載：3 |
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本文探討雙層圓柱正交性非均質圓管受到扭力作用下端部效應的影響。為了解聖維南定理針對上述問題的適用性，我們考慮結構為圓管，一端固定另一端受純扭矩且側表面無受力。依據彈性力學理論，利用狀態空間法與特徵值展開法解得解析解，最後用數值方法進行比較在不同的材料異向性、功能性材料、複合材料與管壁厚度，去探討端部效應影響的程度。
This thesis discusses the end effects of two-layer circular tubes with cylindrically orthotropic non-homogeneous materials under torsion. The formulation for a fixed-free bi-layer tube is derived by using state space matrix and eigen-function expansion. The numerical results of displacement and stresses are exactly obtained and are compared with the solutions based on the mechanics of materials. The factors that will influence the end effects contain the anisotropy, the non-homogeneity, and the material constants.
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