| 吉猛,姜潮,韩硕.一种基于同伦分析的结构可靠性功能度量法[J].计算力学学报,2015,32(2):149~153 |
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| 一种基于同伦分析的结构可靠性功能度量法 |
| An performance measure approach of structural reliability based on homotopy analysis |
| 投稿时间：2014-02-21 修订日期：2014-04-06 |
| DOI：10.7511/jslx201502002 |
| 中文关键词: 结构可靠性 KKT PMA 同伦分析 |
| 英文关键词:structural reliability KKT PMA homotopy analysis |
| 基金项目:国家自然科学基金(11172096);国家自然科学优秀青年基金(51222502);全国优秀博士论文专项基金(201235);霍英东教育基金(131005)资助项目. |
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| 中文摘要: |
| 针对结构可靠性问题提出了一种新的基于同伦分析的功能度量法。该方法从结构可靠性问题的KKT条件出发,构造出相应的同伦方程组,并利用β-cone路径跟踪方法进行求解。算例分析结果表明,本方法对于不同非线性程度的极限状态方程具有稳健的收敛性。 |
| 英文摘要: |
| In this paper, for the structural reliability problems, we introduce a new performance measure approach based on the homotopy analysis, denoted as the HOMO method.First we establish the Karush-Kuhn-Tucker (KKT) condition of the structural reliability problems, then construct the corresponding homotopy equations, and apply the β-cone path-tracking algorithm to solve the equations.Several examples are provided to show that the method has robust convergence in solving the limit-state functions of different degree nonlinearity. |
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