Vibration control in phnonoic piezoelectric with negative capacitance shunting circuit

Abstract

Periodic arrays of shunted piezoelectric patches are employed to control the propagation of elastic waves in phononic beams. Each piezo-patch is connected to a single resistance-inductance-negative capacitance shunting circuit. The eigen value equation of the phononic piezoelectric beam is deduced by combining the piezoelectric effect of the piezoelectric patch with the mechanical vibration. Two main differences between the negative capacitance shunt networks and traditional circuits are found. (1)Negative capacitance shunt networks can change the widths and locations of locally resonant band gaps. (2) when the negative capacitance is close to inherent capacitance, the noise reduction is remarkable. Commercial finite element software COMSOL Multiphysic5.2 is used to simulate the vibration modes of the phononic piezoelectric beam.