LAUSR

ABSTRACT Transient responses of annular/circular viscoelastic plates with different boundary conditions under various asymmetric transverse excitations are thoroughly studied in the present investigation. In order to describe creep and relaxation behaviours of viscoelastic phenomena, the standard linear solid model is employed. The equations of motion are derived by employing Hamilton’s principle using the first-order shear deformation theory which it results in a system of coupled partial differential equations with variable coefficients. By applying the perturbation technique and the generalised Fourier series, the problem is solved using an analytical approach. In the parametric study, the sensitivity of the result to the geometrical and mechanical parameters is declared. The results are compared with those obtained from the classical plate theory and the finite element package.