Dynamics analysis of electric shoegear and conductor rail system

According to characteristics of electric shoegears and conductor rail, ashoegear can be simplified as a cantilever with rotating mechanism, while the rail can be reduced to a simply supported Euler-Bernoulli beam. Assuming that there is no separation between them, a unified dynamics formation of electric shoegear and conductor rail system has been formed, which is second order partial differential equations with multiple degrees of freedom. Substituting modal displacement of electric shoegear and conductor rail into Lagrange dynamic equations, modal coordinates would be obtained. Given actual parameters of the system, the results show that the shoegear and the rail arevibrated more intensely with the speed increasing. Based on movement principle of electric shoegear, its FEM model can be built according to parameters measured in vibration test. Meanwhile it is not difficult to obtain the FEM model of conductor rail. Then vibration of the system according to practical parameters can be solved by numerical integration method. Throughthe analysis of contact force and vibration acceleration of sliding plate and conductor rail, it is realized that when speed is over 120 km/h, the contact condition gets worse sharply which indicates that the recommended speed for electric shoegear and conductor rail system is 120 km/h in the case of the practical operating parameters.