Study on global bifurcation characteristics of gear system

The global bifurcation characteristics about motion state about dimensionless frequency Ω 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 ≤ Ω ≤ 2.5 and it just appears chaos motion in a small range 0.62 ≤ Ω ≤ 0.92 temporarily; the way to chaos is periodic-doubling bifurcation with dimensionless frequency' decreases; Periodic motion is the system's main motion state in the range of 0.1 ≤ Pm ≤ 1.4 and it just appears non-periodic motion in a small Pm range of 0.01 ≤ Pm ≤ 0.1; the way to chaos is periodic-doubling bifurcation with the mean meshing force Pm decreases. © 2013 Trade Science Inc. - INDIA.