Analysis of the Dynamics of Vibro-impact Systemwith Random Disturbance

PDF(1338 KB)

Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (9) : 163-167.

论文

Analysis of the Dynamics of Vibro-impact Systemwith Random Disturbance

TIAN Haiyong LIU Weihua ZHAO Rixu

Author information +

History +

Abstract

A one-degree-of-freedom vibro-impact system with clearance is established. The analytic expression of Poincaré map of the system is derived, and the spectrum of Lyapunov exponents of the system is calculated numerically, the effects of the dynamical behavior of vibro-impact system with random disturbance is analyzed. At last, with the largest Lyapunov exponent, the stochastic bifurcation of random non-smooth system is studied. Numerical simulations show that period-doubling bifurcation also exists in the random non-smooth system, but is different from that in the deterministic system.

Key words

vibro-impact system / stochastic bifurcation / Lyapunov exponent / random disturbance

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

TIAN Haiyong LIU Weihua ZHAO Rixu. Analysis of the Dynamics of Vibro-impact Systemwith Random Disturbance[J]. Journal of Vibration and Shock, 2009, 28(9): 163-167