Resonance, stability and chaotic vibration of a quarter-car vehicle model with time-delay feedback

Naik, Raghavendra D.; Singru, Pravin M.

doi:10.1016/j.cnsns.2010.11.006

Cited by 47 publications

(20 citation statements)

References 18 publications

(17 reference statements)

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“…A two-degree-of-freedom (2DOF) vehicle suspension system is used as shown in Figure 1. This suspension model is widely used to study the conflicting dynamic performances of a vehicle suspension such as ride quality and road holding [26][27][28][29]. The vehicle suspension system mainly includes three components: sprung mass, suspension actuator, and unsprung mass, which is shown in Figure 1 of the paper.…”

Section: Suspension Modelmentioning

confidence: 99%

FxLMS Method for Suppressing In-Wheel Switched Reluctance Motor Vertical Force Based on Vehicle Active Suspension System

Wang

Sun

et al. 2014

Journal of Control Science and Engineering

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The vibration of SRM obtains less attention for in-wheel motor applications according to the present research works. In this paper, the vertical component of SRM unbalanced radial force, which is named as SRM vertical force, is taken into account in suspension performance for in-wheel motor driven electric vehicles (IWM-EV). The analysis results suggest that SRM vertical force has a great effect on suspension performance. The direct cause for this phenomenon is that SRM vertical force is directly exerted on the wheel, which will result in great variation in tyre dynamic load and the tyre will easily jump off the ground. Furthermore, the frequency of SRM vertical force is broad which covers the suspension resonance frequencies. So it is easy to arouse suspension resonance and greatly damage suspension performance. Aiming at the new problem, FxLMS (filtered-X least mean square) controller is proposed to improve suspension performance. The FxLMS controller is based on active suspension system which can generate the controllable force to suppress the vibration caused by SRM vertical force. The conclusion shows that it is effective to take advantage of active suspensions to reduce the effect of SRM vertical force on suspension performance.

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Section: Suspension Modelmentioning

confidence: 99%

FxLMS Method for Suppressing In-Wheel Switched Reluctance Motor Vertical Force Based on Vehicle Active Suspension System

Wang

Sun

et al. 2014

Journal of Control Science and Engineering

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“…Xu et al used the time-dependent excitation to control the extent and the rate of the safe basin erosion [7]. The fractal erosion of the safe basin can also be effectively controlled by different kinds of time delayed feedback [8][9][10][11]. If the system is perturbed by random excitation, the stochastic Melnikov method should be applied to obtain the threshold for chaos [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Parameter-induced fractal erosion of the safe basin in a softening Duffing oscillator

Yang¹

2016

J. vibroeng.

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The parameter-induced fractal erosion of the safe basin is investigated in a softening Duffing system. For a fixed excitation, we make the linear stiffness, the nonlinear stiffness and the damping coefficient as the control parameter. At first, the necessary condition for the fractal erosion of the safe basin is obtained by the Melnikov method. Then, the analytical predications are verified by the numerical simulations. With the variation of the stiffness or the damping coefficient, the fractal erosion of the safe basin will appear or vanish. Both the linear and the nonlinear stiffness influence the topology of the safe basin. With the increase of the linear stiffness, the fractal erosion of the safe basin will appear at first and then disappear gradually. The area of the safe basin is an increasing function of the linear stiffness. With the increase of the nonlinear stiffness, the fractal erosion of the safe basin appears and the area of the safe basin turns smaller. The topology of the safe basin is independent of the damping coefficient. For small damping coefficient, the fractal erosion of the safe basin occurs much more easily. The damping coefficient suppresses the fractal erosion of the safe basin.

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“…Consequently, previous mechanical quarter car models [3,10,11,15] have been re-examined in the context of active damper applications. Dampers based on a magnetorheological fluid with typical hysteretic characteristics have a significant expectation for effective vibration damping in many applications [4,17,18,19,20,21,22,23].…”

mentioning

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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Resonance, stability and chaotic vibration of a quarter-car vehicle model with time-delay feedback

Cited by 47 publications

References 18 publications

FxLMS Method for Suppressing In-Wheel Switched Reluctance Motor Vertical Force Based on Vehicle Active Suspension System

FxLMS Method for Suppressing In-Wheel Switched Reluctance Motor Vertical Force Based on Vehicle Active Suspension System

Parameter-induced fractal erosion of the safe basin in a softening Duffing oscillator

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

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