Response of Systems Under Non-Gaussian Random Excitations

被引：0
|
作者：
G. Q. Cai
Y. Suzuki
机构：
[1] Florida Atlantic University,Center for Applied Stochastics Research
[2] Kyoto University,Disaster Prevention Research Institute
[3] Uji,undefined
来源：
Nonlinear Dynamics | 2006年 / 45卷
关键词：
linear and nonlinear systems; Monte Carlo simulation; non-Gaussian excitations; nonlinear filter; random vibration; statistical linearization; stochastic differential equations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The approach of nonlinear filter is applied to model non-Gaussian stochastic processes defined in an infinite space, a semi-infinite space or a bounded space with one-peak or multiple peaks in their spectral densities. Exact statistical moments of any order are obtained for responses of linear systems jected to such non-Gaussian excitations. For nonlinear systems, an improved linearization procedure is proposed by using the exact statistical moments obtained for the responses of the equivalent linear systems, thus, avoiding the Gaussian assumption used in the conventional linearization. Numerical examples show that the proposed procedure has much higher accuracy than the conventional linearization in cases of strong system nonlinearity and/or high excitation non-Gaussianity.
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页码：95 / 108
页数：13
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