自行车行驶稳定性及后进动性的力学分析

On stability and back movement analysis of the moving bicycles

文章首先根据拉格朗日方程 ,得到广义坐标下的车轮运动的拉格朗日微分方程 ,然后根据广义坐标下的拉格朗日微分方程研究车轮的运动状态、车轮初始的不稳定性、在直线行驶中的稳定性、抗冲击性以及自行车转弯时的后进动问题 ,从而回答了自行车在弯道上转弯行驶车身处于倾斜状态、在重力作用下而不致倾翻的问题。

In this paper,according to Lagrange′s equation, the differential equation of wheel movement is obtained in generalized coordinates. By using this equation, the status of wheel movement, the initial instability of the wheel,the stability of the wheel moving in a straight line, the anti-shock and the back movement of the turn-making bicycles are studied,and the problem of anti-turning over under gravity is solved for the moving bicycles which are in tilting status and make turns on a tortuous path.