Multimodal suppression of the vibroacoustic response of the composite laminated plate using negative capacitance shunts

This paper investigates the multimodal suppression of the vibroacoustic response of the composite laminated plate using negative capacitance shunts. By means of the energy method and the modified Fourier series method, a semi-analytical electromechanical coupled model is proposed to solve the vibroacoustic response of the laminated plate with multiple shunted piezoelectric patches and general boundary conditions. Three different forms of electromechanical coupled governing equations are derived based on Hamilton's principle. The proposed model is proven accurate and versatile by comparing the results obtained by the present model with those from FEM and available references. Then, the strain function that directly determines the positions where piezoelectric patches are placed is derived. The influences of placement positions and the negative capacitance parameter on the suppression performance of the shunt are discussed. Finally, multiple shunted piezoelectric patches with the negative capacitance shunt are employed to suppress the multimodal vibroacoustic response of the composite laminated plate. Each shunted piezoelectric patch is placed at the position with large strain function values and is tuned to control a single corresponding mode. As a result, the multimodal vibroacoustic responses of the composite laminated plate with different boundary conditions are all significantly suppressed. The present study provides new insights into the issue of broadband vibration and noise control of composite laminated plate structures in industrial applications.