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Structural reliability analysis by unconstrained optimization and multimodal Monte Carlo conditioinal importance sampling

机译:无约束优化和多峰蒙特卡洛连续性重要性抽样的结构可靠性分析

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This paper is concerned with a two steps computational approach for structural system reliability analysis: First, the search for points of maximum likelihood is reduced to an unconstrained optimization probem, using a conditional expectation techniqued coupled with an adaptive response surface interpolation function, defined over the integration domain and successively updated to take into account the previously calculated finite regions associated with local maxima. Second the failure probability is obtained by an effective utilization of the multimodal More Carlo importance sampling variance reduction technique over a finite number of discrete regions on the integration domain. Some results illustrate the main features of the proposed approach.
机译:本文涉及结构系统可靠性分析的两步计算方法:首先,使用条件期望技术结合自适应响应面插值函数,将最大似然点的搜索减少为无约束的优化探针,积分域并相继更新以考虑先前计算的与局部最大值关联的有限区域。其次,通过在积分域上有限数量的离散区域上有效利用多模式莫洛卡洛重要性抽样方差减少技术来获得故障概率。一些结果说明了该方法的主要特征。

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