A Dynamic Model for Thick Plates with Time-dependent Boundary Conditions

Abstract

In this paper a dynamic model for thick plates with dynamic boundary conditions is established. In addition to the influences of the bending the transverse shear deformation and the rotatory inertia has been included. The model also contains the effects of the transverse normal stress and the membrane forces. The equations presented in this paper can be reduced to those based on the Mindlin plate theory and the classical plate theory. The numerical results demonstrate that the influence of the transverse normal stress is quite significant for the dynamic response of thick plates with dynamic boundary conditions.