Gear System Dynamics Analysis And Computer Simulation

Gear transmission is one of the most frequently used and important transmission way. It's working state is very complicated, because not only the change of loading and operating mode, etc. can introduce outside encourage, but also the alternated change of the odd and even of engaged meshing teeth pairs during the gear transmission can lead to the engaged synthetical stiffness of teeth pairs which periodically vary with the time. As a result, it makes that the system dynamic excitement still exists invariable even when external load is constant or zero.This paper regards involute spur gear as the target, and sets up a nonlinear dynamics model of the system, which consider the frictional force of meshing teeth. In order to study the effect of time-varying stiffness on system dynamic characteristics , the paper carried out the time-varying engaged stiffness by Ishikawa method.In addition, the paper solved the system's governed nonlinear differential equations by variable step size Runge-kutta and Gill numerical integration methods.as a result , the paper get the dynamics responds of gears axle centers during one tooth meshing.According to the meshing theory and coordinate transformation, the paper get the responds of meshing point on the condition of error meshing also. It is a basis to get the friction force, movement and vibration on the meshing point.