Vibration of the constrained damping composite plates with double piezoelectric layers

• 1、Laboratory of Marine Power Cabins, Shanghai Maritime University, Shanghai, 201306

Abstract：Free and forced vibration of the constrained damping composite plates with double piezoelectric layers is analytically explored in the wavenumber domain by using the Fourier transform and the classical laminated plate theories. The electrical potentials in the double piezoelectric layers in regard to the close circuit, open circuit, external resistances and inductances, and active control are solved and the five equations of motion for the arbitrarily angle-plied smart composite plates are derived in the wavenumber domain. The effectiveness of wavenumber method is verified. The natural frequencies and loss factors of the constrained damping piezoelectric composite plates are not distinctly changed by comparison with those of the constrained damping composite plates without piezoelectric effects in the case of the double piezoelectric layers with three passive control methods, and the vibrational energy is not distinctly changed into the electrical energy which is dissipated. Loss factors of the composite plates with active damping increase and the natural frequencies have significant changes as the proportional and derivative feedback gains increase. The transverse displacement power spectra of the piezoelectric composite plates with active control are compared with those of the piezoelectric composite plates with passive control, which shows that the proportional and derivative active control strongly suppresses the vibrational amplitudes of the smart composite plates. Among the four control methods, the active control of the contrained damping piezoelectric composite plates has the most effective performance of vibration suppression.

Keywords： underwater acoustic engineering piezoelectric composite plate constrained damping layer