Bifurcations and chaos of a vibration isolation system with magneto-rheological damper

Journal Article · Tue Mar 15 04:00:00 EDT 2016 · AIP Advances

DOI:https://doi.org/10.1063/1.4944556· OSTI ID:22611630

Zhang, Hailong ^[1]; Zhang, Ning ^[1]; Min, Fuhong; Yan, Wei; Wang, Enrong ^[2]

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1. Magneto-electronics Lab, School of Physics and Technology, Nanjing Normal University, Nanjing 210046 (China)
2. Vibration Control Lab, School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042 (China)

Magneto-rheological (MR) damper possesses inherent hysteretic characteristics. We investigate the resulting nonlinear behaviors of a two degree-of-freedom (2-DoF) MR vibration isolation system under harmonic external excitation. A MR damper is identified by employing the modified Bouc-wen hysteresis model. By numerical simulation, we characterize the nonlinear dynamic evolution of period-doubling, saddle node bifurcating and inverse period-doubling using bifurcation diagrams of variations in frequency with a fixed amplitude of the harmonic excitation. The strength of chaos is determined by the Lyapunov exponent (LE) spectrum. Semi-physical experiment on the 2-DoF MR vibration isolation system is proposed. We trace the time history and phase trajectory under certain values of frequency of the harmonic excitation to verify the nonlinear dynamical evolution of period-doubling bifurcations to chaos. The largest LEs computed with the experimental data are also presented, confirming the chaotic motion in the experiment. We validate the chaotic motion caused by the hysteresis of the MR damper, and show the transitions between distinct regimes of stable motion and chaotic motion of the 2-DoF MR vibration isolation system for variations in frequency of external excitation.

• OSTI ID: 22611630
• Journal Information: AIP Advances, Journal Name: AIP Advances Journal Issue: 3 Vol. 6; ISSN AAIDBI; ISSN 2158-3226
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AMPLITUDES
BIFURCATION
CHAOS THEORY
COMPUTERIZED SIMULATION
DEGREES OF FREEDOM
EVOLUTION
EXCITATION
HYSTERESIS
LYAPUNOV METHOD
NONLINEAR PROBLEMS
SPECTRA
TRAJECTORIES