2种铁路缓和曲线线型力学性能对比分析

Comparative Analysis on the Linetype Mechanical Performances of Two Railway Transition Curves

基于行驶动力学理论,推导出考虑列车加减速行驶的车体侧向加速度时变率计算公式。针对三次抛物线型和半波正弦型2种线型的铁路缓和曲线,通过理论计算并与仿真计算结果进行对比,分析5种不同工况下缓和曲线上车体侧向加速度时变率的变化情况。结果表明:给出的考虑列车加减速行驶的曲线上车体侧向加速度时变率计算公式可用于不同缓和曲线线型的比选;在三次抛物线型缓和曲线上的4个连接点处,车体侧向加速度时变率有突变值,而半波正弦型的缓和曲线没有突变值,因此半波正弦型缓和曲线对提高旅客乘坐舒适度比三次抛物线型缓和曲线更具有优势。

Based on the vehicle movement dynamics, the motions with positive or negative acceleration were taken into account to deduce the equation of lateral change of the vehicle acceleration. The lateral changes of the vehicle acceleration of the cubic parabola transition curve and half-wave sinusoidal transition curve were theoretically calculated and compared with numerical analyses in five different motion models. The results show that the deduced equation of lateral change of the vehicle acceleration which considers motion through transition curve with positive or negative acceleration can be used for comparing and choosing transition curves. The lateral change of the vehicle acceleration of cubic parabola transition curve has discontinuities at four joints, while of the half-wave sinusoidal transition curve does not have any discontinuity in the form of variation value. Consequently, the half-wave sinusoidal is superior to the cubic parabola curve in improving the ride comfort of passengers.