利用虚拟激励法对随机结构正交展开理论进行扩展,并在Ritz向量子空间中对扩阶系统方程进行动力聚缩,提出了一类可以快速高效地进行线性随机结构复合随机振动分析的计算方法.算例分析表明,该法可以方便地分析随机结构在平稳或非平稳随机激励下的复合随机振动问题,且分析结果与 Monte Carlo模拟分析结果符合良好;与均值参数确定性结构传统随机振动分析计算结果相比,随机结构在相同随机激励下响应自谱密度曲线具有峰值降低、谱宽增大的特点.
【英文摘要】
In this paper a new method to analyze the dynamic response of structures withuncertain parameters under external random excitation is proposed. This method expands theorthogonal expansion method with the pseudo-excitation method. Considering the engineeringbackground of most practical structures, it is rational to assume that the temporal variability ofexternal excitation and the spatial variability of stochastic structural parameters are statisticallyindependent of each other, therefore the different sourc...