两系非线性悬挂车辆的运行稳定性与分叉

本文选取两系具有滞后非线性悬挂的车辆为目标，建立其数学模型和运动微分方程，用常微分方程稳定性理论对车辆蛇行运动进行理论分析，并应用分叉理论研究了整车在蛇行失稳后的动力学行为，得出蛇行运动的分叉解及稳定判据，得到防止车辆蛇行运动的充分条件，并研究了系统参数对临界速度的影响、分叉解振幅及稳定性的影响，为车辆设计和参数选取提供依据。

The Stability and Hopf Bifurcation of ARailway Vehicle with Hysteretic Noniniearity Hanging

In this paper, taking a railway vehicle with hysteretic nonlinearity in second hanging system asan object of study, the stability of the hunting motion and the dynamical behavior after the loss of sta-bility are studied by using of the stability theory of ordinary differential equation and bifurcation theo-ry. It is found that the loss of stability in the railway vehicle is a phenomenon of Hopf bifurcation andthe hysteretic nonlinearity makes the bifurcation a critical velocity and the bifurcation solution is stud-ied, which can be a basis of the designing of a railway vehicle.