Theoretical Modeling and Experimental Validation of Inertial Piezoelectric Actuators

The distributed parameter solution-based theoretical model and the single degree-of-freedom model for inertial piezoelectric actuators are built to predict the mechanical output. Output angular displacement is formulated by utilizing the work-energy principle during two working processes and is explicitly expressed by calculating the transient deflection of the piezoelectric bimorph vibrator using the standard modal expansion method. Compared with the experimental results, it is found that the single degree-of-freedom model is not appropriate for predicting the mechanical output of the presented actuator near resonance. Under the peak-to-peak voltage of 75 V and 6 Hz, the minimum accumulated 10-step relative error reaches 1.34% between the distributed parameter solution-based theoretical model and the experiment. In conclusion, the presented modeling method can provide a convenient derivation of the mechanical output and accurate output prediction of inertial piezoelectric actuators.