随机激励下汽车非线性悬架系统的混沌研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (17) : 39-43.

论文

随机激励下汽车非线性悬架系统的混沌研究

牛治东1，吴光强1,2

作者信息 +

A chaos research on vehicle nonlinear suspension system under stochastic excitation

NIU Zhi-Dong1，WU Guang-qiang1,2

Author information +

文章历史 +

摘要

研究了具有迟滞非线性特性的单自由度悬架模型在随机激励下的混沌运动。运用随机梅尔尼科夫（Melnikov）方法，推导并得到有界噪声激励下系统在均方意义下发生混沌运动的临界条件，讨论了悬架迟滞参数对系统混沌运动的影响，并运用庞加莱截面、功率谱和最大李雅普诺夫指数（LLE）进行了数值验证，研究表明，悬架系统存在混沌运动。分析了C级路面激励下，汽车单自由度悬架迟滞非线性系统的随机响应，并运用庞加莱截面、功率谱和最大李雅普诺夫指数进行了数值模拟，揭示了此类系统在随机路面激励下发生混沌运动的可能性。

Abstract

Chaotic motions of single DOF of vehicle suspension with nonlinear hysteresis characteristics under random excitation were studied. By using stochastic Melnikov method, the critical condition of the system under bounded noise was derived in the mean square sense, it discussed the influence of suspension hysteresis parameters on the chaotic motion, and numerical validation was carried out by using the Poincaré section, power spectrum and largest Lyapunov exponent (LLE), the results showed that the existence of chaotic motion. It analysed the single DOF of vehicle suspension with nonlinear hysteresis characteristics under the C-class road excitation by using the Poincaré section, power spectrum and largest Lyapunov exponent, the numerical simulation revealed the possibility of the occurrence of chaotic motion in such system under stochastic road excitation.

导出引用

牛治东1，吴光强1,2. 随机激励下汽车非线性悬架系统的混沌研究[J]. 振动与冲击, 2016, 35(17): 39-43

NIU Zhi-Dong1，WU Guang-qiang1,2. A chaos research on vehicle nonlinear suspension system under stochastic excitation[J]. Journal of Vibration and Shock, 2016, 35(17): 39-43

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