Abstract

Study on global bifurcation characteristics of gear system

Author(s): Wang Juan, Yi Ke-chuan, Li Tong-jie

The global bifurcation characteristics about motion state about dimensionless frequency  and the mean meshing force Pm are studied based on the classical nonlinear dynamical model of a gear pair with clearance in this paper. The results reveals that Periodic motion is the gear pair’s main motion state in the range of 0.5    2.5 and it just appears chaos motion in a small range 0.62    0.92 temporarily; the way to chaos is periodic-doubling bifurcation with dimensionless frequency decreases; Periodicmotion is the system’smain motion state in the range of m 0.1  p  1.4 and it just appears non-periodic motion in a small Pm range of m 0.01  p  0.1 ; theway to chaos is periodic-doubling bifurcation with the mean meshing force Pm decreases.