基于特征根的跨坐式独轨车辆的稳定性分析

Hunting Stability of Straddle-type Monorail Car Based on Equation Eigenvalue

建立了跨坐式独轨车辆的横向动力学方程 ,并在该模型中考虑了所有轮胎的径向刚度以及走行轮胎的侧偏效应和纵向滑转 .根据动力学方程的特征根分析了跨坐式独轨车辆转向架的运动稳定性 .分析结果表明跨坐式独轨车辆的转向架存在不稳定的蛇行运动 ,其临界速度取决于转向架本身的结构及参数 .特征根分析还表明 ,只有当导向轮胎和稳定轮胎同时贴靠轨道并且其径向刚度要达到一定的数值时 。

A dynamic equation for a straddle-type monorail car has been developed in this paper.The tire model,taking into account both the radial tire forces on each tire and the side forces and the longitudinal force on the running tires,was derived.Based on the equation eigenvalue,the stability of the straddle-type monorail car has been studied.It has been shown that there is unstable hunting in the monorail car which inheres with the bogie structure.Only when guide tires and stability tires are affixed to the track tightly and their radial stiffness are achieved enough value,can the monorail car run along the track in stable status.