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研究生:尹炳業
研究生(外文):Ping-Yeh Yin
論文名稱:RC桿件剖面二維應力纖維材料演算流程之研究
論文名稱(外文):Study toward the Solution Algorithm for 2-D Fibers in Sections of RC Members
指導教授:鄭全桓
指導教授(外文):Chyuan-Hwan Jeng
學位類別:碩士
校院名稱:國立暨南國際大學
系所名稱:地震與防災工程研究所
學門:環境保護學門
學類:環境防災學類
論文種類:學術論文
論文出版年:2007
畢業學年度:95
語文別:中文
論文頁數:156
中文關鍵詞:RC力法式有限纖維元素模式SMM剪力效應二維纖維演算流程
外文關鍵詞:RCforce-based finite fiber element modelSMMshear effect2-D fiberssolution algorithm
相關次數:
  • 被引用被引用:2
  • 點閱點閱:126
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  • 下載下載:15
  • 收藏至我的研究室書目清單書目收藏:0
RC梁柱構件之非線性有限元素的分析中,力法式有限纖維元素模式(force-based finite fiber element model)再配合一組迭代演算流程的element state determination應是現今被認為最好、最適切的分析方法。然而,由於剪力效應的複雜性,此分析方法目前並未考慮剪力效應。而Hsu(2002)所提出的SMM理論,提供了一個可以考慮雙軸應力應變關係的分析模式。本論文係對SMM的理論做些必要的修改,提出了一演算流程,使其能應用在RC梁之剖面上纖維的分析。論文中也利用本文所提出的流程分析了許多組的數據,以測試流程的穩定性與正確性。此外,論文中更將此演算流程應用到懸臂梁的分析上,而求出梁的力—位移曲線,並比較考慮剪力效應與只考慮彎曲行為的結果。因此,本論文在考慮剪力效應之RC構架有限元素模式的初步研究中,提供了其剖面上二維應力纖維材料的演算流程。
The force-based finite fiber element model with an iterative element state determination procedure has been regarded as one of the most promising simulation methods for reinforced concrete (RC) frames subjected to cyclic-static or dynamic excitations. However, this method does not incorporate the trickier shear effect. The SMM theory proposed by Hsu (2002) presents an analytical model which can take into account the biaxial stress-strain state. Hence, this research modifies SMM and proposes a solution algorithm which can be applied to the analysis of fibers in sections of RC members. This thesis also applies the solution algorithm to run a number of cases to test its stability and validity. Furthermore, this thesis employs such solution algorithm to analyze a cantilever beam to find the load-deflection curve of this beam. In conclusion, this thesis gives a solution algorithm for 2-D fibers in sections of RC members, which may be utilized in the force-based finite fiber element model of RC frames.
致謝辭.................................Ⅰ
中文摘要................................ Ⅲ
英文摘要................................ Ⅳ
目錄.................................. V
圖目錄................................. VII
表目錄................................ XII
第一章 緒論 ..............................1
1-1 前言...............................1
1-2 研究動機及目的..........................1
1-3 本文內容與組織..........................3
1-4 文獻回顧.............................4
1-4-1 纖維元素模式文獻回顧.....................4
1-4-2 RC剪力牆元素理論文獻回顧 ..................5
第二章 理論背景 ............................7
2-1 有限纖維元素...........................7
2-2 鋼筋混凝土軟化薄膜模式 .....................10
2-3 SMM應用於RC構件二维有限纖維元素分析之修改..........15
2-3-1 二维應力纖維材料 ......................15
2-3-2 SMM之應用上的修改.....................20
2-4 小結 ..............................24
第三章 求解演算法...........................26
3-1 試體資料之整理 .........................26
3-2 橫向應力不必為零之計算流程與分析 ................33
3-3 橫向應力必須為零之計算流程與分析 ................49
3-4 小結 ..............................61
第四章 分析實例與驗證.........................63
4-1 分析實例 ............................63
4-2 分析方法 ............................64
4-3 分析結果 ............................68
4-4 求取断面彎矩—曲率曲線與斷面剪應變分佈之分析 ..........85
4-5 求取考慮剪力效應之力—位移曲線 .................91
4-6 綜合討論 ............................104
4-7 小結..............................108
第五章 總結 .............................109
5-1 結論..............................109
5-2 建議..............................111
5-3 未來展望............................113
參考文獻................................114
附錄一 剪力牆試體實驗數據 ...................... 117
附錄二 演算流程2收歛之問題.....................119
附錄三 利用圖3-11演算流程的分析結果與SMM分析結果之比較...... 122
附錄四 利用圖3-11演算流程並改變輸入應變之分析結果..........131
附錄五 利用圖3-16演算流程並改變輸入應變之分析結果..........144
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