Analysis for forced response of a non-contact piezoelectric driving system modulated by electromagnetic field under coupling excitation

For a non-contact piezoelectric driving system modulated by electromagnetic field, the dynamic equations of the driving system under coupling excitation are deduced. Using the Duhamel's integral, forced response of displacement in the time-domain and frequency-domain were investigated, and the influence of some system parameters on the displacement response is analyzed. The results show that in the same excitation frequency, the displacement responses of the driving beams is the most significant, and the vibration response of the central shaft is relatively less obvious. The larger displacement responses of the driving beam end is beneficial to increasing the step angle of the driving system, and the smaller vibration of the central is beneficial to stable torque output of drive system. Therefore, the design of this structure is more reasonable. The results are useful for design of the operating performance of the driving system.