Nonlinear Characteristic of Single Stage Gear System under Condition of Multiple Factors

Abstract

A nonlinear vibration model of three-degree-of-freedom spur gears coupled with transverse and torsion was established by mass centralized method, considering meshing stiffness, gear backlashes and bearing clearances. Parameter influences on the nonlinear vibration characteristics of the gear system were studied. The results show that, with the increase of frequency, the system enters chaos from periodic motion through a catastrophic way, then from the chaos to periodic motions. In periodic motions, the system changes from period 2 to period 4 through a period-doubling bifurcation, then from period 4 to period 2, and then from period 2 to period 1 through a inverse period-doubling bifurcation. For the different input frequencies, the changes of backlash make the system show different bifurcation characteristics. For some specific frequencies, the changes of the backlash only increase the amplitudes of the system response and do not change its dynamic characteristics.