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題名 | 平面剛架幾何非線性分析= |
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作者 | 吳國華; 陳遠亮; 王寶璽; |
期刊 | 中原學報 |
出版日期 | 19871200 |
卷期 | 16 1987.12[民76.12] |
頁次 | 頁6-23 |
分類號 | 440.11 |
語文 | chi |
關鍵詞 | |
中文摘要 | 本文應用有限元素法,分析平面剛架幾何非線性問題。由虛功原理導出非線性系統方程式,將系統運動方程式以泰勒級教展開,導得線性化增量系統運動方程式。採紐馬克直接積分法(Newmark-ß method)計算結構之動態歷時反應。靜力分析則以牛頓一勒卜生法 (Newton-Raphson method)迭代逼近求得其近似解。實例演算之結果顯示,應用本文方法足以有效解決平面剛架非線性動力與靜力問題。 |
英文摘要 | A geometrically nonlinear dynamic and static analysis of plane frames using finite element method is presented in this study. The nonlinear system equations are derived from the principle of virtual work. Based on the tangent stiffness formulation, the linearized system equations of motion are obtained by taking the first order of 'Talor's expansion of the nonlinear system equations of motion. The dynamic responses are determined with Newmark-ß=1/4 integration method. For ststic cases, tbe system equations are solved iteratively by Newton-Raphson method. The computation algorithm presented herein, associated with numerical results, is shown to be very effective for treating nonlinear dynamic and static problems of plane frames. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。