Stochastic bifurcation and chaos analysis of a rub-impact rotor-bearing system

A dynamic differential equation of a rub-impact rotor-bearing system under white noise excitation was built to investigate the stochastic bifurcation and chaos behavior of the system. Through numerical integration, the solution to the equation was obtained. The nonlinear characteristics of the system were analyzed. With the help of the largest Lyapunov exponents, bifurcation diagrams, orbit maps and Poincare maps. It was indicated that the effect of the random disturbance on the response of the rotor is significant if the response of the rotor system is a quasi-periodic solution or a nearly periodic one or within a bigger rotation speed zone; the greater the random disturbance the more significant the influence when the rotation speed is bigger; the random disturbance has a certain suppression action on the nonlinear response of the rotor system.