# 臺灣博碩士論文加值系統

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 本文分析複合板螺栓接合之應力奇異性問題。文中採用圓柱座標系統描述問題之位移場、應力場及平衡方程式，進而將分析之問題建立為一階變係數之控制方程式。應用Richardson外插法求解此控制方程式，配合各螺栓接合面情形，推演對應不同連續條件下之應力奇異性特徵方程式。數值分析中探討了材料形式、螺栓圓周上各點、接合面之條件等因素對應力奇異性之影響。
 The stress singularity for the bolt connection of composite plates is analyzed. Employing cylindrical coordinate to describes the displacement field, stress field and equilibrium equations, first order partial differential equations of the problem are established. To seek the solution of the first order partial differential equations, Richardson extrapolation is adopted. Based on the interface conditions of the bolt, the corresponding eigen-equations of stress singularity for various continuity conditions are developed. Numerical analysis is employed to investigate the influence of material alignments, the points on the circumference of the bolt and continuity conditions of interface on stress singularity.
 摘要……………………………………………………………...….…….…...IAbstract……………………………………………………………………….II誌謝………………………………………………………………………….III目錄…………………………..………………………………………...……IV表目錄………………...………………………………………….………….VI圖目錄………………………………………………………...…….…......VIII第一章 緒論……….…..………………….………..…………………….…..11.1 前言………………………..………………………..………..……11.2 文獻回顧……………………………..…………………………..…21.3 本文綱要……………..……………………………………………..4第二章 基本公式……………….…...….....……………….……….…..……52.1 圓柱座標系統下之勁度矩陣……..………………………..............52.2 平衡方程式…………………………………………………………72.3 位移與應力之關係…………………………………………………92.4 控制方程式……………………………………………….............11第三章 Richardson外插法………..…………….………….…………….....123.1 Richardson外插法之基本簡介..….…….……………….………...123.2 Richardson外插法之應用..…….……...…………………………..18第四章 複合板螺栓接合之應力奇異性分析………...…………………..224.1 複合板結合處開孔洞之應力奇異性問題………………………..234.2 複合板螺栓接合之應力奇異性問題……………………………..274.2.1螺栓與複合板接合面完美接合…………………..………284.2.2螺栓與複合板接合面不完美接合……………………..…29第五章 數值分析與討論………………………….…………..………….355.1 複合板結合處開孔洞之應力奇異性分析......................................365.2 複合板螺栓接合之應力奇異性分析……………………………..445.2.1螺栓與複合板接合面完美接合…………………………..445.2.2螺栓與複合板接合面不完美接合………………………..46第六章 結論與建議……………………………………………………...…64參考文獻…………………….……………….…………………….………..66【附錄】程式編寫與使用說明……………………………………………...69A.1材料建構…………………………………………………………...69A.2程式使用說明……………………………………………………...72A.3複合板螺栓接合之分析程式碼…………………………...............75
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 1 多種材料結合之楔形體之應力奇異性分析 2 具滑移面楔形體之應力奇異性分析

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