STUDY ON BIFURCATION OF PERIODIC OSCILLATION FOR A HELICAL GEAR-PAIR TRANSMISSION

Abstract

This paper analyzes bifurcation of steady-state periodic oscillation for a helical gear-pair system. A nonlinear vibration model considering gear backlash was proposed in which mesh stiffness is considered as a time-varying function. The differential equation of motions is constituted by applying the Lagrange's equation of the second kind. The stability analysis and bifurcation of the periodic solution are conducted by using numerical method together with Floquet's branching theory. The obtained results are vibrational graph and bifurcation points.