Jump and bifurcation of Duffing oscillator under combined harmonic and white noise excitations

被引：0

作者：

Huang, ZL ^{[1
]}

Zhu, WQ ^{[1
]}

Suzuki, Y ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Mech, Hangzhou 310027, Peoples R China

来源：

ADVANCES IN STRUCTURAL DYNAMICS, VOLS I & II | 2000年 / 10卷

关键词：

Duffing oscillator; combined harmonic and white noise excitations; response; jump phenomenon; bifurcation; stochastic averaging; path integration;

D O I：

暂无

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

An averaged Fokker-Planck-Kolmogorov equation for the Duffing Oscillator with hardening stiffness under combined harmonic and white noise excitations is derived by using the stochastic averaging method proposed recently by the present authors and solved by using the path integration method. Based on the stationary joint probability density of amplitude and phase so obtained, the stochastic jump of the Duffing oscillator and its bifurcation as the system parameters change art: examined for the first time.

引用

页码：1167 / 1174

页数：8

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