The underground garage's lift platform is in a certain degree of vibration in operation process. Damping can dissipate energy in the process of movement to reduce the vibration. Damping can be divided into viscous damping and non-proportional viscous damping. Gear mesh damping is a kind of viscous damping. This paper mainly analyzes the influence of the meshing damping on the gear transmission system. The gear and rack drive system are analyzed, and the system model is simplified. A single degree of freedom vibration equation is established, and the analytic method is used to solve the model. ...