参数概率灵敏度估计的一种快速近似方法

Qinshu He, Xin-en Liu, Shifu Xiao
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引用次数: 3

摘要

参数概率敏感性分析是基于可靠性设计的重要分析方法,它反映了系统的基本方差变化引起的可靠性变化。本文提出了一种基于商用有限元仿真-人工神经网络-蒙特卡罗仿真的可靠性快速近似分析方法,该方法在节省计算成本的同时具有较高的精度。在该快速响应模型中,考虑随机参数的全局分散性,提出了新的标度参数,并分析了参数的概率敏感性。灵敏度指标可以用工程上的简单近似公式计算。通过与ANSYS分析结果的比较,验证了该方法在可靠性和参数概率敏感性方面的准确性和有效性。
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A fast approximate method for parametric probabilistic sensitivity estimation
The analysis of parametric probabilistic sensitivity analysis is important for reliability-based design, which shows changes of system reliability caused by the change of basic variances. In this paper, a fast approximate method of reliability analysis based on the commercial FE simulation-artificial neural network-Monte Carlo simulation is proposed, which can save the calculation cost with efficient precision. With this quick-response model, a new scaling parameter is presented here considering the global dispersity of stochastic parameters, and the parametric probabilistic sensitivity is analyzed too. The sensitivity indices can be computed by the simple and approximate formula in engineering. A numerical example is presented to validate the accuracy and efficiency in reliability and parametric probabilistic sensitivity by comparing with the analysis of ANSYS.
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