Nonlinear Dynamics Analysis of the Semiactive Suspension System with Magneto-Rheological Damper

Abstract

This paper examines dynamical behavior of a nonlinear oscillator which models a quarter-car forced by the road profile. The magneto-rheological (MR) suspension system has been established, by employing the modified Bouc-Wen force-velocity (F-v) model of magneto-rheological damper (MRD). The possibility of chaotic motions in MR suspension is discovered by employing the method of nonlinear stability analysis. With the bifurcation diagrams and corresponding Lyapunov exponent (LE) spectrum diagrams detected through numerical calculation, we can observe the complex dynamical behaviors and oscillating mechanism of alternating periodic oscillations, quasiperiodic oscillations, and chaotic oscillations with different profiles of road excitation, as well as the dynamical evolutions to chaos through period-doubling bifurcations, saddle-node bifurcations, and reverse period-doubling bifurcations.

Vibration transmission analysis of nonlinear floating raft isolation system with magneto-rheological damper

“…where the dots denote differentiation with respect to non-dimensional time s. To investigate dynamic performance of the MR damper in terms of vibration transmission, it is essential to solve the differential equation (9). It is generally known that there is no accurate analytical solution when nonlinearity exists in differential equations.…”

“…Almost instantaneous change in viscosity has made MR damper very effective in various vibration control devices. [9][10][11] Different kinds of MR damper have been designed and the influence of MR damper on different mechanical systems such as vehicles, mechanics, bridges and architecture has been studied widely. [12][13][14][15][16] The research about application of MR damper in marine engine isolation has also been carried out.…”