| 确定结构分支点及跟踪平衡路径的改进弧长法 |
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| 引用本文： | 罗永峰,滕锦光.确定结构分支点及跟踪平衡路径的改进弧长法[J].同济大学学报(自然科学版),1997,25(5):502-507. |
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| 作者姓名： | 罗永峰 滕锦光 |
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| 作者单位： | 同济大学建筑工程系!上海，200092(罗永峰，沈祖炎)，香港理工大学土木与结构系!香港(滕锦光) |
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| 摘 要： | 在非线性有限元法的基础上，提出了一个新的搜索及确定结构非线性分支点并跟踪屈曲平衡路径全过程的求解方法－改进弧长法，利用弧长控制参数和结构切线刚度矩阵特征值之间的非线性关系，建立了搜索并确定位于结构屈曲平衡路径任一区段人的分支点的精确分析方法。
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| 关 键 词： | 建筑结构 分支点 弧长法 平衡路径跟踪 |
Improved Arc-length Method for Detecting Bifurcation Points and Tracing Buckling Equilibrium Path of Structures |
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| Luo Yongfeng.Improved Arc-length Method for Detecting Bifurcation Points and Tracing Buckling Equilibrium Path of Structures[J].Journal of Tongji University(Natural Science),1997,25(5):502-507. |
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| Authors: | Luo Yongfeng |
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| Abstract: | Based on the nonlinear finite element method, a new techniqu-an improved arc-length method, is established for detecting the critical points and tracing the buckling equilibrium path of structures. Using the nonlinear relation between the arc-length parameter and the stiffness matrix of the structures, the conventional arc-length method is improved. The method has been used to analyze the thin shell structures. Numerical results show that the new method is accurate, reliable and efficient. |
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| Keywords: | Bifurcation point Arc-length method Nonlinear buckling |
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