有界噪声激励下汽车悬架迟滞非线性系统的响应

研究了具有迟滞非线性特性的单自由度汽车悬架非线性模型在有界噪声激励下的响应.推导了两个有界噪声共同激励下系统的随机梅尔尼科夫(Melnikov)过程,得到系统发生混沌运动的临界条件.然后分析了悬架迟滞参数对混沌运动的影响.运用庞加莱截面(PoincaréSection)、功率谱和最大李雅普诺夫(Lyapunov)指数对系统的混沌运动进行了数值验证.研究结果表明,悬架迟滞非线性系统在两个有界噪声的共同激励下,存在混沌运动,且发现在有界噪声激励幅值较小时,系统不会出现混沌运动,当有界噪声激励幅值较大时,系统才有可能出现混沌运动.

Response of Hysteretic Nonlinear System of Vehicle Suspension Subjected to Bounded Noise Excitation

The response of single degree of freedom (DOF) of vehicle suspension with nonlinear hysteresis characteristics under the bounded noise excitation was studied. In order to achieve the critical condition of chaotic motion of the system, the stochastic Melnikov process of system subjected to two co-bounded noise excitations was derived. Then, it analyzed the influence of suspension hysteresis parameters on the chaotic motion. By using the Poincaré section, power spectrum and the largest Lyapunov exponent, the chaotic motion of system was verified numerically. The results show that, chaotic motion exists in the hysteretic nonlinear suspension system is subjected to two co-bounded noise excitations, and it is found that when the amplitude of bounded noise excitation is small, the system does not appear chaotic motion; while the amplitude is large, chaotic motion possibly occurs.