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针对汽车空气悬架复杂的非线性行为,研究空气悬架迟滞非线性动力学系统的全局性态。采用基于实测数据建立的非线性空气弹簧以及非线性轮胎模型,分析汽车悬架中的非线性弹簧力和阻尼力,建立汽车二自由度垂向非线性系统动力学模型,对非线性悬架系统的混沌运动进行研究。在单频正弦路面激励情况下,仿真计算得到系统的响应,分析单频正弦激励下系统的分岔图、庞加莱映射、李雅普诺夫指数图。结果表明,汽车非线性空气悬架系统中存在混沌现象,在发生分岔现象时表现为叉形分岔,而且典型的倍周期分岔是系统从有序通往混沌的道路之一。
Aiming at the complicated nonlinear behavior of the air suspension of a car, the global behavior of the nonlinear suspension system of air suspension is studied. The nonlinear spring force and damping force in the automobile suspension are analyzed by nonlinear air spring and non-linear tire model based on the measured data. The dynamics model of vertical two-DOF nonlinear system is established. The nonlinear suspension system Chaotic movement of the study. Under single-frequency sinusoidal excitation, the response of the system is obtained by simulation. The bifurcation diagram, Poincaré mapping and Lyapunov exponent graph of single-frequency sinusoidal excitation are analyzed. The results show that the chaotic phenomenon exists in the automotive nonlinear air suspension system, and the fork-shaped bifurcation occurs when the bifurcation occurs. And the typical period-doubling bifurcation is one of the systems from orderly chaos to chaos.