Dynamics Modeling and Resonance Analysis of Anti-Backlash Gear Transmission System Based on Harmonic Balance Method

Anti-backlash gear system is applied widely in precision mechanisms, and it is important to research its dynamic characteristics for improving the dynamic accuracy of system. The nonlinear dynamics equivalent model of an anti-backlash gear system in a servomechanism with time-varying mesh stiffness and gear side clearance is proposed. The dynamic transmission error of system is calculated by HBM and numerical computation method (NCM). Based on this, the effect of different parameters on resonance frequency of system is analyzed deeply. The results show that the resonance frequency is higher, when the mesh stiffness is increasing; proper preload force and gear side clearance can make the amplitude of resonance peak lower, which is useful to void more damages to mechanism when resonance comes up.