中国物理B ›› 2016, Vol. 25 ›› Issue (3): 30503-030503.doi: 10.1088/1674-1056/25/3/030503

• GENERAL • 上一篇    下一篇

Hysteresis-induced bifurcation and chaos in a magneto-rheological suspension system under external excitation

Hailong Zhang(张海龙), Enrong Wang(王恩荣), Fuhong Min(闵富红), Ning Zhang(张宁)   

  1. 1. Magneto-electronic Laboratory, School of Physics and Technology, Nanjing Normal University, Nanjing 210046, China;
    2. Vibration Control Laboratory, School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China
  • 收稿日期:2015-06-10 修回日期:2015-10-26 出版日期:2016-03-05 发布日期:2016-03-05
  • 通讯作者: Ning Zhang E-mail:zhangning@njnu.edu.cn
  • 基金资助:
    Projects supported by the National Natural Science Foundation of China (Grant Nos. 51475246, 51277098, and 51075215), the Research Innovation Program for College Graduates of Jiangsu Province China (Grant No. KYLX150725), and the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20131402).

Hysteresis-induced bifurcation and chaos in a magneto-rheological suspension system under external excitation

Hailong Zhang(张海龙)1,2, Enrong Wang(王恩荣)2, Fuhong Min(闵富红)2, Ning Zhang(张宁)1   

  1. 1. Magneto-electronic Laboratory, School of Physics and Technology, Nanjing Normal University, Nanjing 210046, China;
    2. Vibration Control Laboratory, School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China
  • Received:2015-06-10 Revised:2015-10-26 Online:2016-03-05 Published:2016-03-05
  • Contact: Ning Zhang E-mail:zhangning@njnu.edu.cn
  • Supported by:
    Projects supported by the National Natural Science Foundation of China (Grant Nos. 51475246, 51277098, and 51075215), the Research Innovation Program for College Graduates of Jiangsu Province China (Grant No. KYLX150725), and the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20131402).

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摘要： The magneto-rheological damper (MRD) is a promising device used in vehicle semi-active suspension systems, for its continuous adjustable damping output. However, the innate nonlinear hysteresis characteristic of MRD may cause the nonlinear behaviors. In this work, a two-degree-of-freedom (2-DOF) MR suspension system was established first, by employing the modified Bouc-Wen force-velocity (F-v) hysteretic model. The nonlinear dynamic response of the system was investigated under the external excitation of single-frequency harmonic and bandwidth-limited stochastic road surface. The largest Lyapunov exponent (LLE) was used to detect the chaotic area of the frequency and amplitude of harmonic excitation, and the bifurcation diagrams, time histories, phase portraits, and power spectrum density (PSD) diagrams were used to reveal the dynamic evolution process in detail. Moreover, the LLE and Kolmogorov entropy (K entropy) were used to identify whether the system response was random or chaotic under stochastic road surface. The results demonstrated that the complex dynamical behaviors occur under different external excitation conditions. The oscillating mechanism of alternating periodic oscillations, quasi-periodic oscillations, and chaotic oscillations was observed in detail. The chaotic regions revealed that chaotic motions may appear in conditions of mid-low frequency and large amplitude, as well as small amplitude and all frequency. The obtained parameter regions where the chaotic motions may appear are useful for design of structural parameters of the vibration isolation, and the optimization of control strategy for MR suspension system.

关键词: magneto-rheological damper, hysteresis, Bouc-Wen model, chaotic motions

Abstract: The magneto-rheological damper (MRD) is a promising device used in vehicle semi-active suspension systems, for its continuous adjustable damping output. However, the innate nonlinear hysteresis characteristic of MRD may cause the nonlinear behaviors. In this work, a two-degree-of-freedom (2-DOF) MR suspension system was established first, by employing the modified Bouc-Wen force-velocity (F-v) hysteretic model. The nonlinear dynamic response of the system was investigated under the external excitation of single-frequency harmonic and bandwidth-limited stochastic road surface. The largest Lyapunov exponent (LLE) was used to detect the chaotic area of the frequency and amplitude of harmonic excitation, and the bifurcation diagrams, time histories, phase portraits, and power spectrum density (PSD) diagrams were used to reveal the dynamic evolution process in detail. Moreover, the LLE and Kolmogorov entropy (K entropy) were used to identify whether the system response was random or chaotic under stochastic road surface. The results demonstrated that the complex dynamical behaviors occur under different external excitation conditions. The oscillating mechanism of alternating periodic oscillations, quasi-periodic oscillations, and chaotic oscillations was observed in detail. The chaotic regions revealed that chaotic motions may appear in conditions of mid-low frequency and large amplitude, as well as small amplitude and all frequency. The obtained parameter regions where the chaotic motions may appear are useful for design of structural parameters of the vibration isolation, and the optimization of control strategy for MR suspension system.

Key words: magneto-rheological damper, hysteresis, Bouc-Wen model, chaotic motions

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Pq (Numerical simulations of chaotic systems) 46.15.-x (Computational methods in continuum mechanics)