Chaotic Vibration and Comfort Analysis of Nonlinear Half-Vehicle Mode Excited by Consecutive Speed-Control Humps

Zhiyong Yang; Shan Liang; Qin Zhu; Yongsheng Sun; Shanbing Zhan

doi:10.20965/jrm.2015.p0513

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JRM Vol.27 No.5 pp. 513-519

doi: 10.20965/jrm.2015.p0513

(2015)

Paper:

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Chaotic Vibration and Comfort Analysis of Nonlinear Half-Vehicle Mode Excited by Consecutive Speed-Control Humps

Zhiyong Yang^*,**, Shan Liang^*, Qin Zhu^***, Yongsheng Sun^*, and Shanbing Zhan^**

^*College of Automation, Chongqing University
Shapingba, Chongqing 400044, China

^**Chongqing Vocational Institute of Engineering
Jiangjin, Chongqing 402260, China

^***Department of Mechanical Engineering, National Institute of Technology, Oyama College
771 Nakakuki, Oyama 323-0806, Japan

Received:

April 26, 2015

Accepted:

August 6, 2015

Published:

October 20, 2015

Keywords:

nonlinear semi-vehicle model, vehicle suspension, chaos vibration, comfort analysis, direct variable feedback control

Abstract

Consecutive speed-control humps road

Complicated dynamic behavior will happen while nonlinear four degree-of-freedom (DOF) semi-vehicle model is under irregular road excitation. The complex nonlinear vibration influences the ride comfort and safety. In this paper, the study is aimed at analyzing the chaotic vibration and comfort analysis of a vehicle passing the consecutive speed control humps (SCHs). A four-DOF half-vehicle model and combined sine-trapezoidal wave of variable frequency are applied. Occurrence of chaotic vibration is analyzed by bifurcation diagram, time history, Poincarée map. The numerical simulation results show that chaotic vibration phenomenon possibly appears as vehicles are driven on consecutive SCHs. In addition, the exact range of vehicle speed that results in chaotic vibration is derived. Further studies indicate that the influence of quasi-periodic motion state to vehicle on driving comfort is the biggest. This paper uses direct variable feedback control method to control chaotic vibration, and analyzes the control effect from the feedback gain control effect and the delay of the feedback control. The results will help dynamic characteristic analysis of vehicles and the design of the continuous speed bumps.

Cite this article as:

Z. Yang, S. Liang, Q. Zhu, Y. Sun, and S. Zhan, “Chaotic Vibration and Comfort Analysis of Nonlinear Half-Vehicle Mode Excited by Consecutive Speed-Control Humps,” J. Robot. Mechatron., Vol.27 No.5, pp. 513-519, 2015.

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References

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[2] Q. Zhu and M. Ishitobi, “Chaos and bifurcation in nonlinear vehicle model,” J. of Sound and Vibration, Vol.275, No.3, pp. 1136-1146, 2004.
[3] M. Bouazara, M. J. Richard, and S. Rakheja, “Safety and comfort analysis of a 3-D vehicle model with optimal non-linear active seat suspension,” J. of Terramechanics, Vol.43, No.2, pp. 97-118, 2006.
[4] G. Litak, M. Borowieca, M. I. Friswellb, and W. Przystupac, “Chaotic response of a quarter car model forced by a road profile with a stochastic component,” J. of Chaos, Solitons and Fractals, Vol.39, No.5, pp. 2448-2456, 2009.
[5] O. Abaza, Z. Hussein, and I. Malto, “Optimization of Speed Control Hump Spacing,” J. of institute of transportation engineers, Vol.82, No.1, pp. 44-47, 2012.
[6] W. Wang, G. X. Li, and Y. L. Song, “Study on hyperchaotic vibration of whole vehicle dynamic model via time-delay power of four wheels,” J. of Vibration and Shock, Vol.28, No.3, pp. 102-106, 2009.
[7] B. Anti’c, D. Pevsi’c, M. Vujani’c, and K. Lipovac, “The influence of speed bumps heights to the decrease of the vehicle speed – Belgrade experience,” J. of Safety Science, Vol.57, pp. 303-312, 2013.
[8] W. Nobutaka, T. Akihiro, S. Masami, and N. Masaharu, “Vehicle yaw control using an active front steering system with measurements of lateral tire forces,” J. of Robotics and Mechatronics, Vol.23, No.1, pp. 83-93, 2011.
[9] S. Liang, Y. S. Sun, Q. Zhu, and Z. Y. Yang, “Ride comfort analysis of a nonlinear vehicle excited by the consecutive speed-control humps,” J. of Vibroengineering, Vol.15, No.49, pp. 1656-1664, 2013.
[10] Z. Y. Yang, S. Liang, Y. S. Sun, and Q. Zhu, “Chaos of a nonlinear half-vehice suspension system excited by the consecutive speed-control humps,” J. of ICIC Express, Vol.7, No.11, pp. 3163-3168, 2013.
[11] Z. Y. Yang, S. Liang, and Q. Zhu, “Chaotic Vibration and Comfort Analysis of Nonlinear Full-Vehicle Model Excited by Consecutive Speed Control Humps,” J. of Mathematical Problems in Engineering, Vol.2014, pp. 1-8, 2014.

This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.

[1] [1] S. Liang, C. G. Li, Q. Zhu, and Q. Y. Xiong, “The influence of parameters of consecutive speed control humps on the chaotic vibration of a 2-DOF nonlinear vehicle model,” J. of Vibroengineering, Vol.13, No. 3, pp. 406-413, 2011.

[2] [2] Q. Zhu and M. Ishitobi, “Chaos and bifurcation in nonlinear vehicle model,” J. of Sound and Vibration, Vol.275, No.3, pp. 1136-1146, 2004.

[3] [3] M. Bouazara, M. J. Richard, and S. Rakheja, “Safety and comfort analysis of a 3-D vehicle model with optimal non-linear active seat suspension,” J. of Terramechanics, Vol.43, No.2, pp. 97-118, 2006.

[4] [4] G. Litak, M. Borowieca, M. I. Friswellb, and W. Przystupac, “Chaotic response of a quarter car model forced by a road profile with a stochastic component,” J. of Chaos, Solitons and Fractals, Vol.39, No.5, pp. 2448-2456, 2009.

[5] [5] O. Abaza, Z. Hussein, and I. Malto, “Optimization of Speed Control Hump Spacing,” J. of institute of transportation engineers, Vol.82, No.1, pp. 44-47, 2012.

[6] [6] W. Wang, G. X. Li, and Y. L. Song, “Study on hyperchaotic vibration of whole vehicle dynamic model via time-delay power of four wheels,” J. of Vibration and Shock, Vol.28, No.3, pp. 102-106, 2009.

[7] [7] B. Anti’c, D. Pevsi’c, M. Vujani’c, and K. Lipovac, “The influence of speed bumps heights to the decrease of the vehicle speed – Belgrade experience,” J. of Safety Science, Vol.57, pp. 303-312, 2013.

[8] [8] W. Nobutaka, T. Akihiro, S. Masami, and N. Masaharu, “Vehicle yaw control using an active front steering system with measurements of lateral tire forces,” J. of Robotics and Mechatronics, Vol.23, No.1, pp. 83-93, 2011.

[9] [9] S. Liang, Y. S. Sun, Q. Zhu, and Z. Y. Yang, “Ride comfort analysis of a nonlinear vehicle excited by the consecutive speed-control humps,” J. of Vibroengineering, Vol.15, No.49, pp. 1656-1664, 2013.

[10] [10] Z. Y. Yang, S. Liang, Y. S. Sun, and Q. Zhu, “Chaos of a nonlinear half-vehice suspension system excited by the consecutive speed-control humps,” J. of ICIC Express, Vol.7, No.11, pp. 3163-3168, 2013.

[11] [11] Z. Y. Yang, S. Liang, and Q. Zhu, “Chaotic Vibration and Comfort Analysis of Nonlinear Full-Vehicle Model Excited by Consecutive Speed Control Humps,” J. of Mathematical Problems in Engineering, Vol.2014, pp. 1-8, 2014.

Chaotic Vibration and Comfort Analysis of Nonlinear Half-Vehicle Mode Excited by Consecutive Speed-Control Humps

Zhiyong Yang*,**, Shan Liang*, Qin Zhu***, Yongsheng Sun*, and Shanbing Zhan**

Zhiyong Yang^*,**, Shan Liang^*, Qin Zhu^***, Yongsheng Sun^*, and Shanbing Zhan^**