臺灣博碩士論文加值系統

本文探討懸臂梁不完全固定端的支撐問題，不完全固定支撐考慮為一具彈性性質的彈性體，因此懸臂梁支撐之局部行為可模擬為楔形體進行分析，首先楔形體考慮為單一材料或雙層材料及考慮楔形體表面不同邊界條件下進行楔形體尖端應力奇異性大小之分析。其次，對於楔形體材料應力場奇異性強度的分析，本文利用ABAQUS軟體針對三種不同的情況進行分析，由有限元素分析的數值結果推得不同彈性支撐條件下應力奇異性的強度。

This paper consider the problem of a cantilever beam with partially fixed-support. . The partially fixed-support is treated as an elastic body with different elastic material. Therefore, the local stress behavior of the corner of the cantilever beam may be viewed as a wedge problem. First, the stress singularity of the wedge is analyzed by regarding the wedge as being composed by a single or bi-layer materials with wedge’ s surface subjected to different boundary conditions. Second, the intensities of stress singularity at the corner of the cantilever beam are analyzed with ABAQUS software. Three different support conditions are modeled in this thesis and results are presented.

目 錄
摘要 I
Abstract II
誌謝 III
表目錄 VI
圖目錄 VII
第一章 緒論 1
1-1 前言 1
1-2 文獻回顧 2
1-3 本文綱要 3
第二章 基本公式 4
2-1 單一材料之楔形體( Wedge )的公式介紹與推演 4
2-1-1 兩個表面曳引力均為零(Traction free)的問題 6
2-1-2 兩個表面位移均為零(固定)的問題(Fixed end) 10
2-1-3 一表面為零曳引力 (Traction free)，另一表面為零位移 14
(Fixed end) 14
2-2 雙層材料之楔形體( Wedge )公式的介紹與推演 16
2-2-1 曳引力為零(Traction free) 17
2-2-2 位移均為零(固定) (Fixed-end) 23
第三章 楔形體應力奇異性分析 30
3-1 單一材料之楔形體( Wedge ) 30
3-1-1 楔形體兩表面之邊界條件皆為曳引力為零(Traction free) 30
3-1-2 楔形體兩表面之邊界條件皆為位移固定(Fixed-end) 35
3-1-3 楔形體之表面一為曳引力為零另一為固定端 36
3-2 雙層材料之楔形體( Wedge ) 39
3-2-1 楔形體兩表面邊界條件皆為零曳引力 (Traction free) 39
3-2-2 楔形體兩表面之邊界條件皆為固定(Fixed-end) 50
第四章 數值結果與討論 53
4-1 套裝軟體：ABAQUS 6.10-1 53
4-1-1 數值模擬分析之步驟與流程 54
4-1-2 有限元素法理論簡介 56
4-2 有限元素法範例分析 57
4-2-1範例一數值結果與討論 59
4-2-2範例二數值結果與討論 69
4-2-3範例三數值結果與討論 79
第五章 結論 88
參考文獻 90

參考文獻
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