Harmonic Vibration Synchronization Analysis of Nonlinear Vibration System Based on Frequency Catching Phenomenon

Abstract

Based on the electromechanical coupling dynamic model of the single-mass nonlinear vibration system, the quantitative described of the frequency catching phenomena for nonlinear vibration system are been carried out. Then considering the mutual influence between the exciting source and the nonlinear vibrating movement of non-ideal nonlinear vibration system, the frequency catching effect of nonlinear vibration system is been researched, and the theoretical conditions for double exciting motors to realize the harmonic vibration synchronization movement based on the frequency catching effect is been deduced also. Based on the coupling model between motors driving system and vibration mechanical system, and the actual measured mechanical characteristic parameters of the experiment rig, the harmonic vibration synchronization problem for double exciting motors under the frequency catching phenomenon is been verified and explained by numerical simulation and experiment. And for non-ideal and nonlinear vibration system the interrelation between the frequency catching phenomenon, the harmonic vibration synchronization conditions and the factors such as nonlinear strength, stiffness, damping and so on are been analyzed. All the research results can used to provide a certain of theoretical support and experimental basis for the frequency catching harmonic vibration synchronization problem research of the nonlinear vibration system which driven by multi-exciting motors.