Gear Vibration in Supercritical Mesh-Frequency Range

Gear vibrations have been studied intensively for many years. They are mainly treated as forced damped vibrations caused by stiffness fluctuation of the gear teeth in mesh. Such approach gives good results in the subcritical and resonant mesh frequency range. In the super-critical frequency range the vibration level increases slightly with the increase of the gear speed of rotation. The starting point of this work is the assumption that gear vibrations are free damped in which excitation is repeated by teeth impact at each entrance of teeth into the meshing - singular process. The new calculation model based on singular systems theory and on measurement results has been worked out. This model supports the measurement results in all three frequency ranges, the subcritical, resonant and supercritical.