Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method
Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method
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DOI：
10.1016/j.strusafe.2013.03.001
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发表时间：
2013-07
影响因子：
5.8
通讯作者：
Xufang Zhang;M. Pandey
中科院分区：
文献类型：
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作者：
Xufang Zhang;M. Pandey
结构可靠性分析通常基于一个模型，该模型将响应（如最大变形或应力）描述为几个随机变量的函数。原则上，一旦响应的概率分布可用，就可以评估可靠性。本文提出了一种新的方法来推导代表结构响应的随机变量函数的概率分布。推导是基于最大熵原理，其中的约束指定的分数阶矩，而不是常用的整数阶矩。为了计算响应函数的分数阶矩，提出了一种乘法形式的降维方法（M-DRM）。文中给出的几个例子说明了所提出的方法相比，蒙特卡罗模拟方法的数值精度和效率。
The structural reliability analysis is typically based on a model that describes the response, such as maximum deformation or stress, as a function of several random variables. In principle, reliability can be evaluated once the probability distribution of the response becomes available. The paper presents a new method to derive the probability distribution of a function of random variables representing the structural response. The derivation is based on the maximum entropy principle in which constraints are specified in terms of the fractional moments, in place of commonly used integer moments. In order to compute the fractional moments of the response function, a multiplicative form of dimensional reduction method (M-DRM) is presented. Several examples presented in the paper illustrate the numerical accuracy and efficiency of the proposed method in comparison to the Monte Carlo simulation method.