An analytical procedure for transient response determination of annular FSDT and CPT nanoplates via nonlocal elasticity theory

In this paper, an analytical procedure is introduced for transient response determination of annular nanoplates under impulsive transverse load and radial stress. The equations of motion are extracted using the Hamilton's principle by small deflection assumption and considering the Eringen nonlocal elasticity theory in conjunction with the first order shear deformation theory as the displacement field. These equations which are a system of partial differential equations with variable coefficients are solved using the perturbation technique and the eigenfunction expansion method. The results are compared with those obtained by the classical plate theory and finite elements method and the effects of nonlocal parameter, radial stress and geometries on the response are studied.