磁流变悬架系统的非线性动力学分析与混沌控制

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (13) : 215-222.

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刘剑，王恩荣，颜伟，张海龙

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Nonlinear dynamic analysis and chaos control of a MR suspension system

LIU Jian, WANG Enrong, YAN Wei, ZHANG Hailong

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摘要

基于修正的磁流变阻尼器Bouc-wen力-速度（F-v）模型，建立了磁流变悬架动力学系统。根据非线性系统稳定性理论发现了系统发生混沌的可能性。给出全局分岔图和Lyapunov指数谱图，得到了系统随参数变化呈现出的周期振动、概周期振动和混沌运动交替出现的复杂非线性动力学行为，以及经由倍周期分岔、鞍结分岔以及逆向倍周期分岔通向混沌的演化过程。以理想线性模型为参考，提出了基于运动状态追踪的滑模控制方法，有效地将系统混沌运动镇定到稳定的周期状态。

Abstract

Here, a magneto-rheological (MR) suspension dynamic system was established based on the modified MR damper Bouc-Wen force-velocity (F-v) model. The possibility for the system having chaotic motion was found according to the nonlinear system stability theory. The global bifurcation graph and Lyapunov exponent spectrum diagram were deduced through numerical calculation to obtain the system’s complex nonlinear dynamic behaviors, i.e., periodic oscillation, quasi-periodic one and chaotic motion alternately appearing with the variation of parameters, and an evolution process from period-doubling bifurcation, saddle-node one and reverse period-doubling one to chaos. Taking an ideal linear model as the reference, the sliding mode control method based on motion state tracking was proposed to effectively stabilize the chaotic motion of the system to a stable periodic state. 

关键词

磁流变阻尼器 / 分岔 / 混沌 / 滑模控制

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刘剑，王恩荣，颜伟，张海龙. 磁流变悬架系统的非线性动力学分析与混沌控制[J]. 振动与冲击, 2019, 38(13): 215-222

LIU Jian, WANG Enrong, YAN Wei, ZHANG Hailong. Nonlinear dynamic analysis and chaos control of a MR suspension system[J]. Journal of Vibration and Shock, 2019, 38(13): 215-222

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