Response and stability of a SDOF strongly nonlinear stochastic system with light damping modeled by a fractional derivative

被引：124

作者：

Huang, Z. L. ^{[1
]}

Jin, X. L. ^{[1
]}

机构：

[1] Zhejiang Univ, State Key Lab Fluid Power Transmiss & Control, Dept Mech, Hangzhou 310027, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2009年 / 319卷 / 3-5期

基金：

中国国家自然科学基金;

关键词：

VISCOELASTICALLY DAMPED STRUCTURES; CALCULUS; OSCILLATORS; VIBRATION;

D O I：

10.1016/j.jsv.2008.06.026

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A stochastic averaging procedure For a single-degree-of-freedom (SDOF) strongly nonlinear system with light damping modeled by a Fractional derivative under Gaussian white noise excitations is developed by using the so-called generalized harmonic functions. The approximate stationary probability density and the largest Lyapunov exponent of the system are obtained from the averaged Ito stochastic differential equation of the system. It is shown that the approximate stationary solutions obtained by using the stochastic averaging procedure agree well with those from the numerical simulation of original systems. The effects of system parameters on the approxiamte stationary probability density and the largest Lyapunov exponent of the system are also discussed. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1121 / 1135

页数：15

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