四轮激励含相位差的汽车高维非线性超混沌动力学特性研究

Hyper chaotic behavior of a vehicle with multi-dimension and 4-wheel excitation containing phase difference

分析了四轮激励具有时间延迟的汽车14维非自治动力学系统,在前后轮激励相位差作为分岔参数的前提下对其进行了全局分岔特性分析,频谱分析,通过Poincare映射得到其超混沌吸引子;具体计算了特定参数条件下高维自治系统的各维李亚谱诺夫指数及特定区间的李亚谱诺夫指数谱,通过对李亚谱诺夫指数的定量研究确定非线性系统的超混沌特性;数值研究表明:在分岔参数的特定区间系统存在混沌、超混沌运动;同时分岔图也具体指明了非线性系统的失稳区间;分析结果对不同路面汽车的动力学设计及其混沌动力学控制具有一定的理论指导意义。

Hyper chaotic behavior of a vehicle model with idiographic 14-dimension was presented here.Global bifurcation analysis,spectral analysis and Poincare maps are used simultaneously in the study.Strange hyper chaotic attractors of each dimension were obtained.Lyapunov exponent charts calculated revealed the hyper chaotics characteristics and unstable range of the nonlinear system.Numerical simulations indicate a that in the special range of the bifurcation parameter there exist chaos,hyper chaos,and so on;in the bifurcation diagram,there exist converse motions from periodic to chaotic vibration.The proposed analysis method is significant to vehicle dynamic design and dynamic control under conditions of different road surface.