The effect of backlash nonlinear on resonance frequency of electric actuator transmission system

Abstract

In order to study the effect of backlash nonlinear on resonance frequency of electric actuator transmission system, in the premise of meeting the stability, it establishes balanced equation of dynamics system with backlash, and does some theory research and dynamic analysis of backlash nonlinearity and system natural frequency and resonance frequency. First, according to describing function to theoretically model the backlash nonlinear, the relation between describing function and the amount of backlash and input amplitude is analyzed; then, the dynamic equilibrium equation of transmission system with backlash is established, the effect of backlash on system natural frequency and resonance frequency; Finally, it makes dynamic simulation analysis for the transmission system based on virtual prototype technology, and the theoretical values and simulation values are compared. Theoretical analysis and simulation results show that the theoretical analysis is basically consistent with simulation results when it is zero backlash, and the error of theoretical analysis and simulation results is within 10%. Therefore, it can be concluded that considering the transmission system theoretical analysis of backlash nonlinearity is feasible, and it is much closer to the actual system with instructive significance.