Research on Periodic Motion Stability of Gear Dynamics with Friction
Based on the nonlinear dynamical model of the gear system considering friction, the system periodic motion is studied by the Shooting algorithm, also the stability and bifurcation properties of the system periodic motion is obtained by Floquet multipliers. The system's evolvement properties are presented under different frictional coefficients. The conclusions are indicated that friction can influence the properties of periodic motion, which improves the stability of periodic motion on a certain extent, but produces new instability periodic motion. The conclusions provide a theoretical reference for designing of this system.
J. Wang et al., "Research on Periodic Motion Stability of Gear Dynamics with Friction", Applied Mechanics and Materials, Vols. 130-134, pp. 1166-1171, 2012