复合随机振动分析的扩阶系统方法

THE EXPANDED ORDER SYSTEM METHOD OF COMBINED RANDOM VIBRATION ANALYSIS

提出了随机结构系统反应的子空间次序正交分解的思想．基于这一思想，文中导出了一类用于考虑随机激励的随机结构复合随机振动分析的扩阶系统方法，从而可以应用传统的确定性结构随机振动各种分析方法求解复合随机振动问题．作为特例，本文给出了使用模态分析法求解的过程．将文中算例与随机模拟结果相比较，证实了本文思想与方法的实用性．

A new approach is developed for combined vibration analysis of stochastic structural system with random excitations. it is based on the idea of subspace orthogonal decomposition of response of stochastic structural system. By applying orthogonal expand approach about field domain random variables in random space, a set of expanded system equations about original structural system is presented. This then supplies the possibility of solving the dynamic equations using various traditional random vibration methods. In particular, this paper gives the procedure of using model analysis method. The validity of the proposed method is demonstrated by comparing with the results of random simulationmethod.