转向架稳态曲线运行的混沌行为

Chaotic behaviors of a railway bogie in curve motion

以一两轴转向架系统为研究对象,采用沈氏蠕滑理论计算轮轨滚动理想接触点的蠕滑力,而轮缘力则用一分段线性函数来表示。应用延续算法求解转向架系统稳态曲线运行时的定常运动与周期运动,结合Poincaré分岔图分析系统的混沌运动。结果表明转向架系统稳态曲线运行时,系统的平衡位置偏离轨道中心线,并且在一些速度区间还是会出现定常运动、周期运动和混沌运动以及夹杂期间的多周期运动窗口,只是周期运动和混沌运动的幅值可能比较小。

A two-axle railway bogie model is taken as the research object due to its complicated dynamics. The nonlinear rela- tionship between the creepage and creep forces in the ideal wheel-rail contact area is decided by Shen^s creep theory, and the flange force is expressed by a piecewise linear function. The continuation method is used to compute the stationary and periodic solutions of the bogie system in steady curved motion, and the Poincar6 section is applied to construct the bifurcation diagram to analyze the chaotic motions appearing in the system. Results indicate that the equilibrium position of the system deviates from track centerline. Moreover, it is showed that the stationary, periodic, chaotic motions and multi-periodic windows are all exist in many speed intervals. But the amplitude of the periodic and chaotic motions may be small in most cases.