博碩士論文 943202005 詳細資訊



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姓名 陳彥樺(Yen-Hwa Chen)  查詢紙本館藏   畢業系所 土木工程學系
論文名稱 移動質量與荷載作用下之剛架結構動力行為分析
(Dynamic Behavior Analysis of Frame Structure Subjected to Moving Forces and Masses)
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摘要(中) 本研究主要是以向量式有限元(Vector Form Intrinsic Finite Element，(VFIFE, V-5))，簡稱V-5的基本理論，來分析平面剛架結構物上之移動荷載、移動質量及移動車輛非線性動力反應。在文中將推導的移動荷載、移動質量及移動車輛理論引進向量式有限元理論中使用，在移動荷載方面以節點分佈力觀念加入程式，移動質量及移動車輛利用矩陣處理互制作用使向量式有限元程式也可以模擬行駛中的車輛或列車，其中移動車輛理論也就是車輛–結構互制效應(vehicle – structure interaction)，再分別以移動荷載、移動質量及移動車輛模擬方式作數值算例，並與早期文獻比較結果。由數值算例分析結果顯示，向量式平面剛架元能有效模擬移動荷載、移動質量及移動車輛非線性動力行為，而且方法相當簡單不需任何龐大矩陣求解與迭代方法。
摘要(英) A novel motion analysis method so called Vector Form Intrinsic Finite Element (VFIFE) method was used to study the nonlinear dynamic behavior of frame structure subjected to moving forces and masses. In this paper, the program use VFIFE with moving forces, moving masses and moving vehicles. Use equivalent nodal force to simulate the moving force problem. The moving mass problem or the moving vehicle problems make use of a local matrix to handle interacting effect. Therefore, VFIFE can calculate the process vehicle or train. And the moving vehicle theorem is the vehicle - structure interaction theorem. Furthermore, the numerical problems about moving forces, moving masses or moving vehicles compare results with early papers. Numerical results demonstrate that the proposed method can accurately simulate the nonlinear dynamics response of frame structure subjected to moving forces and masses, and in the analysis procedure of the VFIFE method, it is not required to solve any matrix equation and use any iteration.
關鍵字(中) ★ 向量式有限元
★ 移動荷載
★ 移動質量
★ 移動車輛
★ 車輛
★ 結構互制
★ 非線性大變形分析		 關鍵字(英) ★ vector form finite element
★ moving force
★ moving mass
★ moving vehicle
★ vehicle- structure interaction
★ nonlinear dynamics
論文目次 摘 要 II
Abstract III
致 謝 IV
目 錄 V
圖 表 目 錄 VIII
第一章 前言 1
1.1 研究動機與目的 1
1.2文獻回顧 1
1.2.1移動荷載問題之文獻回顧 2
1.2.2移動質量問題之文獻回顧 4
1.2.3移動車輛問題之文獻回顧 5
1.2.4向量式有限元素法文獻回顧 8
1.3研究方法與內容 8
第二章 剛架元之向量式有限元基本理論 10
2.1 向量式有限元基本假設 10
2.2 運動解析的基本步驟 11
2.3 時間積分法求位移 21
第三章 移動荷載及質量基本理論 23
3.1 移動荷載基本理論 24
3.1.1等效節點力 24
3.1.2 移動荷載模擬方法 27
3.1.2.1單移動荷載模擬方法 27
3.1.2.2序列移動荷載模擬方法 28
3.2移動質量基本理論 29
3.2.1移動質量計算方法 30
3.2.1.1有移動質量作用之質點運動方程式 30
3.2.1.2移動質量及質點之運動方程式 35
3.2.2慣性力、科氏力及離心力之探討 41
第四章 移動車輛基本理論 42
4.1車輛運動方程式 42
4.2 車輛與質點之運動方程式 44
第五章 數值算例驗證 51
5.1 單移動荷載例題 51
5.1.1移動荷載作用於單跨懸臂梁 51
5.1.2移動荷載作用於單跨簡支梁 52
5.1.3移動荷載作用於三跨連續梁 55
5.1.4移動荷載作用於三跨變斷面連續梁 56
5.1.5移動荷載作用於多跨連續梁 58
5.2 多移動荷載例題 59
5.2.1三序列荷載作用於單跨簡支梁 59
5.2.2十序列荷載作用於單跨簡支梁 63
5.2.3十五個序列荷載作用於單跨簡支梁 64
5.3移動質量例題 66
5.3.1移動質量作用於兩端鉸接梁 66
5.3.2移動質量作用於單跨懸臂梁 71
5.4移動彈簧質量例題 73
5.4.1移動彈簧質量作用於單跨簡支梁 73
5.5移動彈簧阻尼質量例題 79
5.5.1移動彈簧阻尼質量作用於簡支梁 79
5.6移動車輛例題 83
5.6.1移動車輛作用於四跨梁 83
5.6.2移動車輛作用於兩端鉸接梁 84
5.7結構大變位例題 85
5.7.1移動荷載作用於之兩端鉸接梁 85
第六章 結論與建議 89
6.1 結論 89
6.2 建議與展望 90
附錄(流程圖) 91
參考文獻 95
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[119] 王仁佐、康龍全、吳東岳、王仲宇、丁承先，「二維剛架結構之彈塑性大變形分析」，第27屆全國力學會議，台灣，(2003)。
[120] 王仁佐、康龍全、吳思穎、王仲宇，「管路揮擊問題之模擬與分析」，結構工程，第二十卷，第四期，第120-143頁，台灣，(2005)。
[121] 王仁佐、吳俊霖、林柏州、楊元森、蔡克銓，「向量式有限元之RC數值模擬分析」， 第30屆全國力學會議，台灣，(2006)。
[122] 王仁佐，「向量式結構運動分析」，國立中央大學土木工程學研究所博士論文，台灣，(2005)。
[123] 王仁佐、康龍全、王仲宇、吳東岳，「三維桁架向量式有限元」，中華民國第七屆結構工程研討會，(2004)。
[124] 陳彥樺、王仁佐、王仲宇、陳銘鴻，「橋梁結構移動荷載模擬方法」，清雲土木工程研討會，(2006)。
[125] 王仁佐、吳東岳、王仲宇、蕭輔沛，「向量式空間剛架大變形分析」，中華民國第八屆結構工程研討會，(2006)。
[126] 王仁佐、陳彥樺、陳世凱、王仲宇，「向量式有限元之移動荷載模擬方法」 第30屆力學研討會，(2006)。
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[129] 王仲宇、王仁佐、陳彥樺、莊清鏘，「移動荷載與質量作用下之平面剛架非線性動力分析」，第四屆海峽兩岸結構與大地工程學術研討會，浙江，杭州，(2007)。
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指導教授 王仲宇(Chung-Yue Wang) 審核日期 2007-7-24
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