The fractional differential equations of the single-degree-of-freedom (DOF) quarter vehicle with a magnetorheological (MR) suspension system under the excitation of sine are established, and the numerical solution is acquired based on the predictor–corrector method. The analysis of phase trajectory, time domain response, and Poincaré section shows that the nonlinear dynamic characteristics between fractional and integer-order suspension systems are quite different, which proves the superiority of using fractional order to describe the physical properties. By discussing the influence of each parameter on the vibration, the range of parameters to avoid the chaotic vibration is obtained. The variable feedback control is used to control the chaotic vibration effectively.
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February 2018
Research-Article
Chaotic Behavior and Feedback Control of Magnetorheological Suspension System With Fractional-Order Derivative Available to Purchase
Chengyuan Zhang,
Chengyuan Zhang
College of Automotive Engineering,
Chongqing University,
Chongqing 401331, China
e-mail: [email protected]
Chongqing University,
Chongqing 401331, China
e-mail: [email protected]
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Jian Xiao
Jian Xiao
College of Mathematics and Statistics,
Chongqing University,
Chongqing 401331, China
e-mail: [email protected]
Chongqing University,
Chongqing 401331, China
e-mail: [email protected]
Search for other works by this author on:
Chengyuan Zhang
College of Automotive Engineering,
Chongqing University,
Chongqing 401331, China
e-mail: [email protected]
Chongqing University,
Chongqing 401331, China
e-mail: [email protected]
Jian Xiao
College of Mathematics and Statistics,
Chongqing University,
Chongqing 401331, China
e-mail: [email protected]
Chongqing University,
Chongqing 401331, China
e-mail: [email protected]
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 4, 2017; final manuscript received September 7, 2017; published online November 1, 2017. Assoc. Editor: Corina Sandu.
J. Comput. Nonlinear Dynam. Feb 2018, 13(2): 021007 (9 pages)
Published Online: November 1, 2017
Article history
Received:
June 4, 2017
Revised:
September 7, 2017
Citation
Zhang, C., and Xiao, J. (November 1, 2017). "Chaotic Behavior and Feedback Control of Magnetorheological Suspension System With Fractional-Order Derivative." ASME. J. Comput. Nonlinear Dynam. February 2018; 13(2): 021007. https://doi.org/10.1115/1.4037931
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