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論文中文名稱:張氏積分法在歷時分析中的性能表現 [以論文名稱查詢館藏系統]
論文英文名稱:Performance of Chang explicit method in Time History Analysis [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:土木與防災研究所
畢業學年度:102
出版年度:103
中文姓名:梁敬泓
英文姓名:Ching-Hung Liang
研究生學號:101428013
學位類別:碩士
語文別:中文
口試日期:2014-06-25
論文頁數:174
指導教授中文名:張順益
口試委員中文名:楊元森;鍾立來
中文關鍵詞:外顯式積分法無條件穩定OpenSees物件導向
英文關鍵詞:Explicit MethodUnconditional StabilityOpenSeesObject-Oriented Programming
論文中文摘要:使用逐步積分法求解結構動力的問題是目前最普遍的方法。然而逐步積分法又分成內隱式與外顯式兩種,內隱式積分法具有無條件穩定的優點,但是每一步計算較為繁瑣;外顯式積分法則是每一步運算簡潔有效率,但是有條件穩定。因此本文將利用張氏積分法去探討不同結構的動力問題,此積分法不但具有內隱式積分法無條件穩定的優點,亦有外顯式積分法的運算效率,為了證明張氏積分法在實際應用的優越性,本研究將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有限元素分析軟體進行模擬,其程式的原始碼為免費及開放性的資源,可以讓程式開發者自行更新與修改程式碼,因此本文將張氏積分法加入於程式中與現有的積分法進行比較,討論張氏積分法廣泛應用於各種不同結構動力問題,不管是簡單的線彈性系統還是複雜的非線性系統,都能有效的求解且能大幅縮短運算的時間,同時也可以利用OpenSees去驗證張氏積分法的數值特性。
論文英文摘要:The direct integration method might be the most commonly used method for the dynamic analysis. There are two basic categories of direct integration methods. One is explicit and the other is implicit. Although implicit methods can have unconditionally stability their implementations are more complex when compared to explicit methods. On the other hand, in general, explicit methods can only have conditional stability. However, they can have explicit formulations and thus it is computationally efficient for each time step. Thus, either an explicit or an implicit method have its own advantages and disadvantages. Since the Chang explicit method can integrate the most important advantages of explicit and implicit methods together, it is adopted in this study. In order to demonstrate the superiority of Chang explicit method in practical applications, it is implemented into the finite element analysis software OpenSees, which was developed by the researchers at Pacific Earthquake Engineering Research Center, University of California, Berkeley. Consequently, a series of dynamic analyses were conducted by using the Change explicit method and the currently available integration methods. Both linear elastic and nonlinear systems were considered, where the structural nonlinearity may arise from material nonlinearity and/or geometrical nonlinearity. As a result, the feasibility of the Chang explicit method for solving a variety of structural dynamic problems is confirmed. In addition, its superiority of computational efficiency over the currently available integration methods is verified.
論文目次:中文摘要 i
英文摘要 iii
誌謝 v
目錄 vii
表目錄 x
圖目錄 xii
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 7
2.1 張氏積分法簡介 7
2.2 張氏積分法的數值特性 8
2.2.1 穩定性 11
2.2.2 精準度 12
2.3 多自由度系統計算流程 14
2.4 程式計算流程 15
第三章 數值分析軟體 25
3.1 OpenSees架構 25
3.2 OpenSees基本指令 26
3.2.1 ModelBuilder輸入指令 26
3.2.2 Analysis輸入指令 30
3.2.3 Recorder輸入指令 33
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 47
4.1 軟體開發技術 47
4.1.1 物件導向程式設計 49
4.2 OpenSees新增類別 50
4.2.1 ChangExplicit.h 51
4.2.2 ChangExplicit.cpp 53
第五章 數值論例 75
5.1 門型框架結構系統 75
5.1.1 Line Element 75
5.1.2 Area Element 77
5.1.3 Solid Element 78
5.2 五層樓H型鋼構架結構系統 80
5.2.1 二維結構系統 80
5.2.2 三維結構系統 81
5.3 探討 效應對於H型鋼構橋結構影響 82
5.4 探討 效應對於斜張橋結構影響 83
5.5 Shell Element模擬懸臂鋼版 84
5.6 Truss模擬複雜網架彈塑性分析 85
5.7 預力梁彈塑性分析 86
5.8 帶黏滯阻尼器框架分析 88
5.9 鋼結構網殼挫曲分析 89
第六章 結論與建議 147
6.1 結論 147
6.2 建議 148
參考文獻 149
附錄 151
A 張氏積分法方程式推導 151
B 張氏積分法遞迴矩陣 152
C 等平均加速度積分法遞迴矩陣 155
D-1 程式計算流程 158
D-2 程式計算流程 159
E 動力平衡方程式主要的切線矩陣 160
F ChangExplicit.h 161
G ChangExplicit.cpp 163
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論文全文使用權限:同意授權於2014-08-04起公開