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Variable complexity structural reliability analysis for efficient reliability-based design optimization

机译:可变复杂性结构可靠性分析,可实现基于可靠性的高效设计优化

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The computational expense of structural reliability analysis, in terms of the number of function evaluations necessary to accurately estimate the probability of failure, has made reliability-based structural optimization impractical for realistic structural design problems. ^More efficient reliability analysis methods often lead to a sacrifice in accuracy and unacceptable solutions. ^In this paper, we present and demonstrate a variable complexity approach to structural reliability analysis for more efficient reliability-based design optimization. ^In this approach, the desirable characteristics of both the traditional first-order reliability methods (accuracy) and mean-value first-order methods (efficiency) are exploited to increase the efficiency of identifying reliable structural designs through reliability-based design optimization. ^Three example problems are presented: the design of a three-bar truss, the classical tension-compression spring design problem, and the design of a composite tube under internal pressure, modeled using MSC/Nastran. ^Results for these problems show a 40-70 percent reduction in the number of function evaluations when using the variable complexity approach as compared to using the traditional first-order reliability method within reliability-based design optimization. ^(Author)
机译:就准确估计故障概率所需的功能评估次数而言,结构可靠性分析的计算费用使基于可靠性的结构优化对于现实的结构设计问题不切实际。 ^更有效的可靠性分析方法通常会牺牲准确性和不可接受的解决方案。 ^在本文中,我们提出并演示了一种可变复杂度的方法来进行结构可靠性分析,以便更有效地进行基于可靠性的设计优化。在这种方法中,利用传统的一阶可靠性方法(准确性)和均值一阶方法(效率)的理想特性,通过基于可靠性的设计优化来提高识别可靠结构设计的效率。 ^提出了三个示例问题:使用MSC / Nastran建模的三杆桁架设计,经典的拉压弹簧设计问题以及内压下的复合管设计。 ^与基于可靠性的设计优化中使用传统的一阶可靠性方法相比,使用可变复杂度方法时,这些问题的结果表明,功能评估的数量减少了40-70%。 ^(作者)

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