平稳随机激励下随机结构动力可靠度分析的多项式逼近法  

DYNAMIC RELIABILITY ANALYSIS OF STOCHASTIC STRUCTURES UNDER STATIONARY RANDOM EXCITATION USING HERMITE POLYNOMIALS APPROXIMATION

作　　者：乔红威[1] 吕震宙[1] 关爱锐[2] 刘旭华[2] 

机构地区：[1]西北工业大学航空学院,西安710072 [2]中国飞行试验研究院,西安710089

出　　处：《工程力学》2009年第2期60-64,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(10572117,50875213);航空基础基金项目(2007ZA53012);新世纪优秀人才支持计划项目(NCET-05-0868);民口863计划项目(2007AA04z401)

摘　　要：针对平稳随机激励下随机结构动力可靠度分析问题,在分裂法和Hermite多项式逼近的基础之上,建立了一种新的计算随机结构动力可靠度的方法。所提方法运用分裂法的思想将多维动力可靠度响应函数转换成一维问题,并采用Hermite多项式逼近单随机变量的动力可靠度响应函数,最后利用MonteCarlo法求解显式化后的无条件动力可靠度,并通过两个算例考察了该方法的有效性和可行性。For dynamic reliability analysis of stochastic structures under stationary random excitation, a new dynamic reliability assessment method is presented on the basis of decomposition method and Hermite polynomials approximation. The method involves an additive decomposition of a multi-dimensional dynamic reliability response function into an one-dimensional function, then the Hermite polynomials is employed to approximate the one-dimensional dynamic reliability response function. At last, the unconditional reliability of the explicit response function is obtained by the Monte Carlo simulation, two examples demonstrate the rationality of the presented method.

关 键 词：随机激励 随机结构 动力可靠度 分裂法 Hermite多项式逼近 

分 类 号：O324[理学—一般力学与力学基础] TB123[理学—力学]