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論文中文名稱:改良式張氏積分法在勁度硬化系統的性能表現 [以論文名稱查詢館藏系統]
論文英文名稱:Performance of Enhanced Chang explicit method for Stiffness Hardening Systems [以論文名稱查詢館藏系統]
院校名稱:臺北科技大學
學院名稱:工程學院
系所名稱:土木工程系土木與防災碩士班(碩士在職專班)
畢業學年度:103
畢業學期:第二學期
中文姓名:高立恒
英文姓名:Li-Heng Kao
研究生學號:102428012
學位類別:碩士
語文別:中文
口試日期:2015/06/24
指導教授中文名:張順益
指導教授英文名:Shuenn-Yih Chang
口試委員中文名:張順益;楊元森;簡文郁
口試委員英文名:Shuenn-Yih Chang;Yuan-Sen Yang;Wen-Yu Chien
中文關鍵詞:外顯式積分法無條件穩定勁度硬化擴大穩定係數OpenSees
英文關鍵詞:explicit methodunconditional stabilitystiffness hardeningstability amplification factorOpenSees
論文中文摘要:一般在進行動態歷時分析時,最普遍的就是使用逐步積分法。一個理想的積分法為同時具有內隱式積分法的無條件穩定與外顯式積分法的計算簡單迅速之優點,而張氏積分法就是同時具有這兩種特性的積分法。然而,張氏積分法雖然在一般線彈性系統或非線性系統且為勁度軟化時為無條件穩定,但其在求解非線性系統且為勁度硬化時卻變成為有條件穩定。本文提出一個擴大穩定係數的概念,將張式積分法改良,讓改良式張氏積分法在面對勁度硬化結構系統的問題時,也能具有無條件穩定的數值特性,使其為一更趨完善的積分法。本研究利用美國加州大學柏克萊分校太平洋地震工程研究中心所研發的OpenSees有限元素分析軟體,針對各種不同的硬化結構系統進行模擬,本文將改良式張氏積分法加入程式中與未改良張氏積分法及現有的積分法進行比較,探討及驗證改良式張氏積分法改善勁度硬化系統動力分析效能、穩定條件範圍及其卓越的計算效率。
論文英文摘要:A step-by-step integration method is the most commonly used method for dynamic time history analysis. It seems that an ideal integration method is to integrate explicit formulation and unconditional stability together. The Chang explicit method has been successfully developed for this purpose. However, it has been shown that it can only have unconditional stability for both linear elastic system and the systems with instantaneous stiffness softening while it becomes conditionally stable for the systems with instantaneous stiffness hardening. To overcome this difficulty, a stability amplification factor has been introduced into the formulation of the Chang explicit method to extend the unconditional stability range to a certain systems with instantaneous stiffness hardening. In order to confirm this improved stability property for Chang explicit method, it was implemented into the finite element software, OpenSees, which was developed by the Pacific Earthquake Engineering Research Center, University of California at Berkeley. This software can be used to simulate a variety of different stiffness hardening systems to verify the improved stability property. In addition, it is evident that Chang explicit method can save many computational efforts when compared to the conventional integration methods.
論文目次:中文摘要 i
英文摘要 iii
誌 謝 v
目 錄 vii
表目錄 ix
圖目錄 xi
第一章 緒論 1
1.1 研究動機與目的 1
1.2 文獻回顧 2
1.3 研究內容概述 3
第二章 數值特性 5
2.1 擴大穩定係數 5
2.2 改良式張氏積分法簡介 6
2.3 改良式張氏積分法的數值特性 8
2.3.1 穩定性 10
2.3.2 精確度 11
2.4 多自由度系統計算流程 13
2.5 程式計算流程 15
第三章 數值分析軟體介紹 23
3.1 OpenSees之架構 23
3.2 OpenSees基本指令 24
3.2.1 ModelBuilder輸入指令 25
3.2.2 Analysis輸入指令 29
3.2.3 Recorder輸入指令 32
3.3 OpenSees在Windows環境設定 35
3.4 OpenSees Navigator 36
3.4.1 OpenSees Navigator安裝指南 37
第四章 OpenSees程式開發 51
4.1 物件導向程式設計 51
4.2 OpenSees新增類別 52
4.2.1 ChangExplicit.h 52
4.2.2 ChangExplicit.cpp 55
第五章 數值論例 75
5.1 門型框架結構系統分析 75
5.1.1 二維結構系統 75
5.1.2 三維結構系統 77
5.2 兩端固定端之梁系統分析 78
5.2.1 Line Element 78
5.2.2 Area Element 79
5.2.3 Solid Element 81
5.3 兩層樓硬化結構系統分析 82
5.3.1 二維結構系統 82
5.3.2 三維結構系統 83
5.4 殼元素鋼板系統分析 84
5.5 實體元素鋼板系統分析 85
5.6 剛性樓板結構系統分析 87
5.6.1 三層剛性樓板結構系統 87
5.6.2 十二層剛性樓板結構系統 88
5.6.3 考慮 效應之剛性樓板結構系統 89
5.7 拱橋結構系統分析 90
5.8 鋼構橋結構系統分析 91
5.9 桁架系統分析 92
5.10 鋼結構網殼系統分析 93
第六章 結論與建議 165
6.1 結論 165
6.2 建議 166
參考文獻 167
附錄 171
A ChangExplicit.h 171
B ChangExplicit.cpp 173
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論文全文使用權限:同意授權於2015-07-27起公開