Research Article Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation

The three-dimensional linearized theory of elastodynamics mathematical formulation of the forced vibration of a prestretched plate resting on a rigid half-plane is given. The vari-ational formulation of corresponding boundary-value problem is constructed. The first variational of the functional in the variational statement is equated to zero. In the frame-work of the virtual work principle, it is proved that appropriate equations and boundary conditions are derived. Using these conditions, finite element formulation of the pre-stretched plate is done. The numerical results obtained coincide with the ones given by Ufly and in 1963 for the static loading case. Copyright © 2007 M. Eröz and A. Yildiz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1