Establishing the limiting conditions of operation of magneto-rheological fluid dampers in vehicle suspension systems

Naik, Raghavendra D.; Singru, Pravin M.

doi:10.1016/j.mechrescom.2009.07.004

Cited by 17 publications

(9 citation statements)

References 6 publications

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“…Chaotic motion was indicated by bifurcation diagram and the Lyapunov exponent (LE). 19 One common feature of above reported researches is that the complex dynamic behaviors are predicted by simulation. Due to different calculated models for the MR damper, such as Bingham model, Bouc-wen model and piecewise linear model et al, the obtained nonlinear regimes are also not unified.…”

Section: Introductionmentioning

confidence: 99%

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

Zhang

Min

et al. 2016

AIP Advances

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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.

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Section: Introductionmentioning

confidence: 99%

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

Zhang

Min

et al. 2016

AIP Advances

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“…Their linear model approach was generalized by Von Wagner [3] who determined a corresponding high-dimensional probability density by solving the Fokker-Planck equations. Finally, in papers [4,5,6] dynamics, bifurcations and appearance of chaotic solutions were discussed.…”

Section: Introductionmentioning

confidence: 99%

“…Recent efforts have been also focused on studies of the excitation of an automobile by a road surface profile with harmful noise components [3,24,25]. Noise like chaotic vibrations, appearing due to the system nonlinearities, have been investigated in simplified single DOF models [4,19,6]. These papers follows the rich literature on an escape phenomenon in the symmetric and nonsymmetric Duffing or Helmholtz potentials [26,27,28,29,30], where critical system parameters were determined.…”

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confidence: 99%

Transition to chaos and escape phenomenon in two-degrees-of-freedom oscillator with a kinematic excitation

Borowiec

Litak

2012

Nonlinear Dyn

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We study the dynamics of a two-degreesof-freedom (two-DOF) nonlinear oscillator representing a quarter-car model excited by a road roughness profile. Modeling the road profile by means of a harmonic function, we derive the Melnikov criterion for a system transition to chaos or escape. The analytically obtained estimations are confirmed by numerical simulations. To analyze the transient vibrations, we used recurrences.

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“…Hysteretic nonlinear suspension system induced oscillation under various form of external excitation is a widely studied fundamental mechanics problem by many researchers. Theoretical models of chaotic response of quarter-car models due to nonlinear stochastic and deterministic excitation have been developed and have been experimentally observed due to the excitation of the road profile [4][5][6][7][8][9]. These previous related works have been to conventional chaotic motion of a quarter car and have not attacked primary, subharmonic and superharmonic resonances at all.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [8], the authors analyzed the transition to chaos as in [6] by treating the gravity force as a perturbation in the Melnikov function. In this letter, we focus on this issue.…”

Section: Introductionmentioning

confidence: 99%

Resonance, stability and period-doubling bifurcation of a quarter-car model excited by the road surface profile

Siewe

2010

Physics Letters A

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Establishing the limiting conditions of operation of magneto-rheological fluid dampers in vehicle suspension systems

Cited by 17 publications

References 6 publications

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

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

Transition to chaos and escape phenomenon in two-degrees-of-freedom oscillator with a kinematic excitation

Resonance, stability and period-doubling bifurcation of a quarter-car model excited by the road surface profile

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