多自由度结构动力可靠度分析的小波方法  

DYNAMIC RELIABILITY ANALYSIS OF MDOF STRUCTURES USING THE WAVELET TRANSFORM

作　　者：孔凡[1] 李书进[1] 孙涛 

机构地区：[1]武汉理工大学土木工程系,武汉430070 [2]中国轻工业武汉设计工程有限责任公司,武汉430060

出　　处：《工程力学》2015年第1期154-162,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(51408451);湖北省自然科学基金项目(2014CFB841);中央高校基本科研业务费专项资金项目(WUT:2014-IV-051)

摘　　要：该文发展了基于小波分析的局部平稳法在多自由度结构动力可靠度中的应用。首先,基于广义谐和小波和随机过程的局部平稳小波模型,发展了线性多自由度结构系统在各时间-频率子域上激励功率谱与响应功率谱之间的关系,并计算得到了在一般随机动力激励下结构随机动力响应功率谱密度和各阶谱矩。随后,根据随机动力激励和响应的高斯假定及超越过程的Markov假定,得到了线性多自由度结构在均匀/非均匀调制随机激励下层间位移的动力可靠度指标。结构动力可靠度的Monte Carlo模拟显示了所提方法的可靠性与计算高效性。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.

关 键 词：小波分析 局部平稳小波 功率谱 首次超越 动力可靠度 

分 类 号：TU311.3[建筑科学—结构工程]