Vibration of multi-stage gear drives influenced by nonlinear couplings
This paper deals with mathematical modelling of nonlinear vibration of multi-stage large rotating shaft systems with gears and rolling-element bearings. Gearing and bearing couplings bring into the system nonlinear phenomena like impact motions due to the possibility of the mesh interruption. The motion of the system is then influenced by the internal kinematic excitation in gearing, by the parametric excitation caused by periodic change of number of teeth in gear meshing and can be further influenced by impacts of freely rotating gears which transmit no static torque. The developed methodology is tested for gear drive vibration of a two-stage gearbox.