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研究生： 謝昇財
Xin-Hsan Xai
論文名稱： 耦合有限元素法與邊界積分式於三維彈性力學的應用
指導教授： 鄔蜀威
Shu-Wei Wu
口試委員:
學位類別： 碩士
Master
系所名稱： 工學院 - 機械工程學系
Department of Mechanical Engineering
畢業學年度： 88
語文別： 中文
論文頁數： 54
中文關鍵詞： 有限元素法 、邊界積分式 、彈性力學
外文關鍵詞： Finite Element Method, Boundary Integral Equation, Elastostatics
相關次數： 點閱：6  下載：0 
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    • 中文摘要Ⅰ 英文摘要Ⅱ 誌謝Ⅲ 目錄Ⅳ 圖目錄Ⅵ 表目錄Ⅶ 符號說明Ⅷ 第一章 緒論1 1.1 研究動機1 1.2 文獻回顧2 1.3 本文架構4 第二章 有限元素公式推導6 2.1 使用最小總勢能原理推導三維彈性力學的有限元素公式 6 2.2 數值計算11 2.3 分佈力與節點力的轉換15 第三章 邊界元素公式推導19 3.1 計算場點位移的邊界積分式19 3.2 計算場點應力的邊界積分式21 3.3 數值計算22 第四章 有限元素法與邊界積分式的耦合27 4.1 耦合的基本原理28 4.2 耦合的公式推導30 第五章 實例測試與討論33 5.1 外部問題 33 5.2 內部問題(一)37 5.3 內部問題(二)40 5.4 內部問題(三)44 5.5 內部問題(四)48 第六章 結論51 參考文獻52

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