机车蛇形运动的分叉特性

BIFURCATION BEHAVIOUR OF VEHICLE HUNTING

本文就理想轮对模型的蛇形运动进行了研究,第一次得到了机车蛇形运动的分叉解及其稳定性判据的解析表达式,揭示了机车蛇形运动的物理起因。通过理论分析和数值计算,本文得到了一些和前人相同的结论和规律,同时也发现了一些新的现象。这些结果为控制机车蛇形运动提供了依据。

In this paper the bifurcation behavior of wheelset hunting was investigated by applying the manifold theorem to Hopf bifurcation analysis. The bifurcation solutions and their stability criteria were obtained. These results provide a foundation to control the hunting of vehicle.