随机振动理论及其应用

RANDOM VIBRATION THEORY AND THEIR APPLICATIONS

简述了随机振动的重要概念,总结了线性系统和非线性系统的单自由度和多自由度随机响应的分析方法。重点是非线性系统的分析方法,即FPK方程法、摄动法、等效线性化法、随机平均法、矩闭合法、正规振型法和数字模拟法。并介绍了随权振动重要的实际应用及提出了若干值得进一步研究的问题。

This paper briefly describes the important concepts of nandom vibration, reviews the analytical methods to single degree of freedom and multi-degree of freedom linear and nonlinear systems under random excitation, including FPKE approaches, perturbation approaches, equivalent linearization techniques, stochastic averaging methods, moment closure methods, normal mode approaches and Monte Carlo methods. In the meantime, the important practical applications of random vibration are presented and some problems for future work are proposed.