Analysis of motion characteristics of rail car under high-speed impact

Aiming at the complex running state and instability state of rail car body under high-speed impact, a mathematical model of the collision force and overturning force of the car body is established by using the state space trajectory method of modern control theory. The program is written by Matlab language to solve the motion state of the rail car under high-speed impact, and then the change law of the motion state of the car body under different working conditions is obtained. The results show that the maximum nodding angle is related to the impact speed and the length-height ratio of the car body. The nodding angle increases with the increase of impact speed while decreases with the increase of length-height ratio. The turning radius of the rail is related to the turning angle. The limit instability state of the car body is affected by side-impact angle and varies with speed. The larger the speed, the smaller the allowable value. The stability of the car body motion state and the limit instability speed decrease with the decrease of the impact slope. With the increase of the impact slope, the stability of the car body motion state increases, and the limit instability speed increases.