二系滞后非线性悬挂高速转向架的稳定性分析

本文选取具有滞后非线性悬挂的高速转向架为目标，建立其数学模型和运动微分方程。应用统计线性化方法将其非线性方程线性化，用常微分方程稳定性理论对转向架蛇行运动进行理论分析，得到防止转向架蛇行运动的充分条件，并研究了转向架设计参数对临界速度的影响，为转向架的设计和参数选取提供依据。

THE STABILITY ANALYSIS OF HIGH SPEED BOGIE WITH HYSTEREIC NONLINEARITY

A mathematical model and the differential equations of the motion of the hanging high speed bogie with hysteretic nonlinearity are established in this paper. The stability theory of ordinary differential equations is applied to the analysis the hunting movement of the bogie. Meanwhile, the method of statistic linearization is adopted to handle the nonlinear equations. As a result, the sufficient conditions to prevent hunting movements are identified. The influence of the design parameters of bogie on its critical speed is also studied in order to provide the basis for design.