| 结构几何非线性分析中临界点的直接求解 |
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| 引用本文： | 叶康生,陆天天,袁驷. 结构几何非线性分析中临界点的直接求解[J]. 工程力学, 2010, 0(10) |
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| 作者姓名： | 叶康生 陆天天 袁驷 |
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| 作者单位： | 土木工程安全与耐久教育部重点实验室;清华大学土木工程系; |
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| 基金项目： | 长江学者和创新团队发展计划项目(IRT00736) |
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| 摘 要： | 结构非线性分析中解路径上的临界点是反映结构承载特性的重要参数。该文基于结构非线性解路径跟踪的弧长法提出一个以解路径弧长为参数,直接求解临界点的Newton法。该算法具有很好的求解精度,适用范围广,对于单重临界点和多重临界点问题均能有效解决。数值算例表明:该文方法准确、可靠、高效。
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| 关 键 词： | 几何非线性 临界点 极值点 分叉点 Newton法 |
A DIRECT METHOD FOR THE COMPUTATION OF CRITICAL POINTS IN STRUCTURAL GEOMETRIC NONLINEAR ANALYSIS |
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| YE Kang-sheng,LU Tian-tian,YUAN Si. A DIRECT METHOD FOR THE COMPUTATION OF CRITICAL POINTS IN STRUCTURAL GEOMETRIC NONLINEAR ANALYSIS[J]. Engineering Mechanics, 2010, 0(10) |
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| Authors: | YE Kang-sheng LU Tian-tian YUAN Si |
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| Affiliation: | YE Kang-sheng,LU Tian-tian,YUAN Si (Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry,Department of Civil Engineering,Tsinghua University,Beijing 100084,China) |
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| Abstract: | The critical points on the solution path are important features which reveal the capacity of the structure. Based on the arc-length method in tracing structural nonlinear solution, a direct Newton method for the computation of critical points is developed in this paper. This approach has high accuracy and can be widely used for the computation of either single or multiple critical points in nonlinear structural analysis. Numerical examples show that this method is accurate, reliable and efficient. |
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| Keywords: | geometric nonlinearity critical points limit points bifurcation points Newton method |
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