Dynamic reliability analysis of MDOF structures using the wavelet transform

被引:0
作者
Kong, Fan [1 ]
Li, Shu-Jin [1 ]
Sun, Tao [2 ]
机构
[1] Department of Civil Engineering, Wuhan University of Technology, Wuhan
[2] Design Engineering Company Ltmited. of China Light Industry, Wuhan
来源
Gongcheng Lixue/Engineering Mechanics | 2015年 / 32卷 / 01期
关键词
Dynamic reliability; First passage; Local stationary wavelet; Power spectrum density; Wavelet analysis;
D O I
10.6052/j.issn.1000-4750.2013.07.0703
中图分类号
学科分类号
摘要
A wavelet-based local stationary approach for the dynamic reliability determination of linear MDOF systems is presented. First, based on the generalized harmonic wavelet and the local stationary wavelet model of the stochastic process, an evolutionary power spectrum (EPS) density relationship between a full non-stationary excitation and response is developed. Based on the response EPS, the moments of the response EPS are calculated for the reliability determination. Finally, based on the Gaussian assumption for the linear response and Markovian assumption for the crossing event, the probability of the drift displacement remaining below a certain limit is calculated. Monte Carlo simulations demonstrate the reliability and computational efficiency of the proposed approach. ©, 2015, Tsinghua University. All right reserved.
引用
收藏
页码:154 / 162
页数:8
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