结构可靠度计算中的描述性抽样法

DESCRIPTIVE SAMPLING FOR STRUCTURAL RELIABILITY CALCULATION

  • 摘要: 本文提出描述性抽样方法的实质,即利用更少的时间抽取更多的服从要求概率分布的样本点,讨论了该方法的计算步骤和适用范围,并将描述性抽样方法与重要抽样方法结合起来计算多变量多模式的结构失效概率,比较了描述性抽样方法与一般抽样法的方差,算例结果表明描述性抽样方法具有较好的收敛性.

     

    Abstract: The essence of descriptive sampling (DS) method is presented in the paper, by which more samplings from required probability density function are obtained in less time. The algorithm and scope of application in structural reliability are discussed, and the DS method is combined with importance sampling method to compute the structural reliability with multimode and multivariable. The variance of DS is compared to that of Monte Carlo method. The good convergence of DS is shown by the results of examples.

     

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