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首页> 外文期刊>International journal of structural stability and dynamics >A New Reliability Method Combining Kriging and Probability Density Evolution Method
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A New Reliability Method Combining Kriging and Probability Density Evolution Method

机译：一种新的可靠性方法，结合Kriging和概率密度进化法

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摘要

Stochastic dynamic analysis of structures with random parameters continues to be an open question in the field of civil engineering. As a newly developed method, the probability density evolution method (PDEM) can provide the probability density function (PDF) of the dynamic responses of highly nonlinear structures. In this paper, a new method based on PDEM and the kriging surrogate model, named the K-PDEM, is proposed to study the stochastic response of a structure. Being an exact interpolation method, the Gaussian process regression or the so-called kriging method is capable of producing highly accurate results. Unlike the traditional PDEM numerical method whose numerical precision is strongly influenced by the number of representative points, the K-PDEM employs the kriging method at each instant to generate additional time histories. Then, the PDEM, which is capable of capturing the instantaneous PDF of a dynamic response and its evolution, is employed in nonlinear stochastic dynamic systems. Because of the decoupling properties of the K-PDEM, the numerical precision of the result is improved by the enrichment of the generalized density evolution equations without increasing the computation time. The result shows that the new method is capable of calculating the stochastic response of structures with effciency and accuracy.
机译：随机参数的结构随机动态分析仍在发生土木工程领域的开放问题。作为一种新开发的方法，概率密度进化方法（PDEM）可以提供高度非线性结构的动态响应的概率密度函数（PDF）。本文提出了一种基于PDEM和Kriging代理模型的新方法，命名为K-PDEM，研究了结构的随机响应。作为精确的插值方法，高斯过程回归或所谓的克里格化方法能够产生高精度的结果。与传统的PDEM数值方法不同，其数值精度受代表点数强烈影响，K-PDEM在每个瞬间采用Kriging方法以产生额外的时间历史。然后，在非线性随机动态系统中采用能够捕获动态响应及其演化的瞬时PDF的PDEM。由于K-PDEM的去耦性质，通过富集广义密度演化方程来提高结果的数值精度而不增加计算时间。结果表明，新方法能够计算结构的随机响应，具有效率和精度。

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