Exact and approximate solutions for randomly excited MDOF non-linear systems

被引：41
作者：
Cai, GQ
Lin, YK
机构：
[1] Ctr. for Appl. Stochastics Research, Florida Atlantic University, Boca Raton
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1996年 / 31卷 / 05期
关键词：
random vibration; Markov process;
D O I：
10.1016/0020-7462(96)00053-4
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
An exact solution technique is developed to obtain stationary probability densities for a class of multi-degree-of-freedom (MDOF) non-linear systems under Gaussian white-noise excitations, without the restriction of equipartition of kinetic energies as with the case of previous exact solutions. The conditions under which exact solutions are obtainable are given. When these conditions are not satisfied, approximate solutions are obtained on the basis of minimum weighted residuals. Examples are given for illustration. Copyright (C) 1996 Elsevier Science Ltd.
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页码：647 / 655
页数：9
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