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.
Highlights
Magneto-rheological fluid (MRF) is a suspension of micronsized, magnetic particles in a carrier fluid
The following analysis methods of nonlinear dynamics are applied to such a special complex system: (1) By obtaining the frequency band response, we find out the area that the system is sensitive to the corresponding road profiles
The diagram illustrates that there exist positive Lyapunov exponent (LE) among the LE spectra in instable area shaded in red, which indicates the existence of the chaos
Summary
Magneto-rheological fluid (MRF) is a suspension of micronsized, magnetic particles in a carrier fluid. Litak et al [9] used the analytical Melnikov theory and predicted the lowest critical amplitude that a single degree of freedom (DoF) vehicle model may transit to a chaotic motion, under a road surface profile consisting of harmonic and noisy components. Luo and Rajendran [10] carried out the periodic motion and stability of a single DoF semiactive suspension model by developing a mapping structure, and. There are no systematic nonlinear dynamics of the Bouc-Wen model based MR suspension system, owing to the complex structure of model. Comprehensive numerical results include frequency response, bifurcation diagrams, phase plane portraits, Poincare map, and time series; the process of the transition to chaotic motion is revealed.
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