非平稳随机响应灵敏度分析的时域显式法  

An explicit time-domain method in sensitivity analysis of non-stationary random responses

作　　者：陈太聪[1] 苏成[1] 胡智强[1] 马海涛[1] 

机构地区：[1]华南理工大学土木与交通学院,亚热带建筑科学国家重点实验室,广东广州510640

出　　处：《振动工程学报》2015年第4期503-509,共7页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51078150);亚热带建筑科学国家重点实验室自主研究项目(2013ZA01,2015ZC19);中央高校基本科研业务费资助项目(2013ZZ0024);广西科学研究与技术开发计划资助项目(1298011-1)

摘　　要：针对非平稳激励下的结构振动问题,研究动力响应方差灵敏度的高效时域求解算法。首先推导确定性动力响应灵敏度的时域显式表达,继而结合方差灵敏度的一般计算公式,得到非平稳随机响应方差灵敏度的时域显式计算列式。该列式同样适用于平稳激励下结构瞬态响应方差灵敏度的求解。以框架结构和桁架结构分别受不同类型的非平稳激励为例,时域显示解法和其他方法的对比计算结果验证了时域显示解法的有效性。Aiming at the structural vibration problem under non-stationary excitation,time-domain method of high efficiency is explored in the present study to determine the sensitivity of covariance of random response.Firstly,a time-domain formulation is derived for computing the sensitivity of deterministic response.Then,according to a general expression of the sensitivity of covariance,an explicit time-domain formulation is deducted to calculate the sensitivity of covariance of non-stationary random response.This formulation is also suitable for the case of stationary excitation if sensitivity of covariance of the transient response is concerned.By taking a frame and a truss subjected to different types of non-stationary excitations as examples,comparisons of the numerical results obtained with different methods illustrate the effectiveness of the proposed method.

关 键 词：随机振动 非平稳 灵敏度 时域 显式法 

分 类 号：O324[理学—一般力学与力学基础] TU311.3[理学—力学]