Analytical piezoelasticity solution for vibration of piezoelectric laminated angle-ply circular cylindrical panels

Abstract

An exact two-dimensional (2D) piezoelasticity solution is presented for free vibration and steady-state forced response of simply supported piezoelectric angle-ply laminated circular cylindrical panels in cylindrical bending under harmonic electromechanical load, with and without damping. The piezoelectric layers are polarized along radial direction to induce extension actuation/sensing mechanism. The variables are expanded layerwise in Fourier series to satisfy the boundary conditions at the simply supported ends. The governing equations get reduced to ordinary differential equations in thickness direction with variable coefficients and these are solved by the modified Frobenius method. The unknown coefficients of the solution are obtained using the transfer matrix method. Results for the natural frequency and its variation with ply angle and for steady-state response due to harmonic electromechanical excitation are presented for single layer piezoelectric panel, and hybrid multilayered inhomogeneous test, composite and sandwich panels. The numerical results presented in tabular form would serve as useful benchmark for assessing one-dimensional (1D) panel theories for free vibration and harmonic response of hybrid cylindrical panels.