| .超椭球模型下结构非概率可靠性指标的迭代算法[J].计算力学学报,2008,25(6): |
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| 超椭球模型下结构非概率可靠性指标的迭代算法 |
| An iteration approach for structural non-probabilistic reliability analysis based on hyper-ellipsoidal models |
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| DOI：10.7511/jslx20086140 |
| 中文关键词: 超椭球模型,非概率可靠性,可靠性指标,最可能失效点,迭代算法 |
| 英文关键词:Hyper-ellipsoidal model,non-probabilistic reliability,reliability index,Most Probable failure Point,iteration algorithm |
| 基金项目: |
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| 大连理工大学工业装备结构分析国家重点实验室 |
| 摘要点击次数: 2577 |
| 全文下载次数: 370 |
| 中文摘要: |
| 迭代算法对于非概率可靠性指标的求解及其优化问题具有重要意义。本文基于不确定参数的超椭球描述,研究求解非概率可靠性指标的迭代算法。针对极限状态方程非线性情况较高时可能存在不收敛的问题,提出一个检测严重迂回振荡的判据,并在HL-RF迭代公式的基础上引入修正解,在一定程度上克服迭代不收敛的问题。数值算例验证了迭代算法的正确性和有效性。 |
| 英文摘要: |
| This paper investigates the iteration algorithms for the non-probabilistic reliability analysis of structures using hyper-ellipsoidal models of uncertainties.For the purpose of alleviating the convergence difficulties of the reliability index calculation in presence of highly nonlinear limit-state functions,the paper proposed a criterion for detecting Zig-zag iterations and a modified iteration scheme based on the HL-RF algorithm.The numerical example demonstrates the validity and efficiency of the present method.The proposed techniques are also shown to be capable of improving the iteration convergence in evaluating the non-probabilistic reliability index. |
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