537 Development of a High-Performance Method of Vibration Analysis for a Large-Scale Nonlinear System : A Vibration Analysis of Gear-Shaft System

Abstract

A rational method of dimensional reduction, which is proposed for vibration analysis of a large-scale structure with locally strong nonlinearity, is applied to a gear-shaft system. A pair of gears has some significant nonlinear behaviors. The meshing force stiffness between a pair of gears changes periodically because of the change of the number of the pairs of teeth which touch each other and the move of the contact point between the teeth. In addition, the pair of gears has the backlash and it has nonlinear dynamic behavior come of gear rattle. The analytical model for the coupled bending torsional vibration of the gear-shaft system is derived considering the nonlinearity described above. Furthermore, the rational method of dimensional reduction use complex constrained modes to consider the gyro effect of the system, and the effect of global nonlinearity of the system is unconsidered. The effectiveness of the method is verified by the numerical vibration analysis of the gear-shaft system.