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Shock and Vibration
Volume 2015, Article ID 971731, 12 pages
Research Article

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

1Magneto-Electronic Lab, School of Physics and Technology, Nanjing Normal University, Nanjing 210046, China
2Vibration Control Lab, School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China
3Center for Advanced Vehicle Engineering, Department of Mechanical Engineering, Concordia University, Montreal, Canada H3G 1M8

Received 4 February 2015; Accepted 24 May 2015

Academic Editor: Salvatore Strano

Copyright © 2015 Hailong Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.