线性随机结构的非平稳随机响应变异性分析

VARIATION ANALYSIS OF NON-STATIONARY RANDOM RESPONSE OF LINEAR RANDOM STRUCTURES

对于具有随机参数的结构受到非平稳随机激励的问题 ,给出了结构随机响应变异系数的虚拟激励摄动算法 .它应用虚拟激励法先将随机荷载转化为确定性荷载 ,以使随机问题精确地转化为仅结构参数具有随机性的问题 ,从而将问题归结为应用随机摄动法求解单随机问题 .求解过程简单高效 。

To deal with linear structures with stochastic parameters subjected to evolutionary random excitations, an efficient method, the Pseudo Excitation Perturbation Method (PEPM), is suggested. The non-stationary random excitation is transformed into a deterministic transient excitation, thus the joint-random problem is transformed into a single-random problem, i.e. only the structural parameters remain random, which can be solved easily by means of the perturbation method. Examples show that this method is simple, efficient and has good precision.