Stability, bifurcation and chaos of nonlinear active suspension system with time delay feedback control

被引：0
|
作者：
Shao S. [1 ]
Ren C. [2 ]
Jing D. [2 ]
Yan T. [2 ]
机构：
[1] School of Mechanical Engineering, Shandong University of Technology, Zibo
[2] School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2021年 / 40卷 / 07期
关键词：
Bifurcation; Chaos; Nonlinear active suspension systems; Stability switch; Time delay feedback control;
D O I：
10.13465/j.cnki.jvs.2021.07.038
中图分类号：
学科分类号：
摘要：
Here, a nonlinear active suspension system model with time delay feedback control was studied considering nonlinear characteristics of suspension spring and damping. The critical gain of delay independent stable region and the critical delay of stability switch were derived by using the generalized Sturm criterion. The effectiveness of the theoretical analysis was verified using numerical simulation with chosen parametric combinations in different stability intervals. Based on dynamic equations, nonlinear dynamic behavior of the suspension system under road excitation was studied by using bifurcation diagram, Poincare map and time domain diagram. The results showed that there is a small parameter interval in gain coefficient-damping coefficient plane to realize delay independent stability, and the interval range increases with increase in suspension damping coefficient; when the controlled system has no delay independent stability, the system can have stability switching with change of time delay; these stability switches correspond to Hopf bifurcations when time delay crosses critical value; numerical simulation verifies the correctness of the theoretical analysis; when time delay is taken as a bifurcation parameter, the system's path from quasi-periodic motion to chaotic one is observed, i.e., rupture of quasi-periodic torus. © 2021, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：281 / 290
页数：9
相关论文
共 17 条
  • [1] WANG Z H, HU H Y., Stability switches of time-delayed dynamic systems with unknown parameters, Journal of Sound and Vibration, 233, 2, pp. 215-233, (2000)
  • [2] HU H Y, WANG Z H., Dynamics of controlled mechanical systems with delayed feedback, (2002)
  • [3] (2010)
  • [4] ZHU Kun, REN Chuanbo, WANG Fei, Et al., Research on vibration of 1/4 car model with time delay feedback control, Journal of Shandong University of Technology(Natural Science Edition), 2, pp. 31-35, (2016)
  • [5] (2012)
  • [6] SIEWE M S., Resonance, stability and period-doubling bifurcation of a quarter-car model excited by the road surface profile, Physics Letters A, 374, 13, pp. 1469-1476, (2010)
  • [7] NAIK R D, SINGRU P M., Resonance, stability and chaotic vibration of a quarter-car vehicle model with time-delay feedback, Communications in Nonlinear Science & Numerical Simulation, 16, 8, pp. 3397-3410, (2011)
  • [8] TAFFO G I K, SIEWE M S, TCHAWOUA C., Stability switches and bifurcation in a two-degrees-of-freedom nonlinear quarter-car with small time-delayed feedback control, Chaos Solitons and Fractals, 87, pp. 226-239, (2016)
  • [9] ZHOU S H, LI Y M, REN Z H, Et al., Nonlinear dynamic analysis of a unilateral vibration vehicle system with structural nonlinearity under harmonic excitation, Mechanical Systems and Signal Processing, 116, pp. 751-771, (2019)
  • [10] BOREIRY M, EBRAHIMI-NEJAD S, MARZBANRAD J., Sensitivity analysis of chaotic vibrations of a full vehicle model withmagnetorheological damper, Chaos, Solitons & Fractals, 127, pp. 428-442, (2019)
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