Parametric vibration of the gear mesh

The paper is focused on the analytical solution to periodical vibration of gear mesh containing the time dependent stiffness. Solution of such mathematical models can be used for the response computation of various drive mechanisms, gearbox vibration, in rotor dynamics etc. The model behaviour is described by means of the Fredholm's integral equation with degenerated kernel and a periodical Green's function is used for the solution. The application of the presented methodology was performed on the spur gear mesh of the second gear of the VW concern gearbox MQ 200. The result correctness is validated by means of Runge-Kutta integration method.