On the Dynamic Analysis of a Simply Supported Rectangular Plate

Abstract

The dynamic behaviour of a simply supported rectangular plate is studied. This research work is ‎based on the ‎theory of the orthotropic plate simply supported on two sides and free on two other ‎sides. The plate is excited ‎by a moving load while the dynamic response of the structure was ‎obtained using the classical double Fourier ‎series expansion technique, which satisfies the ‎boundary conditions at the four edges. In the absence of the ‎external excitation, the vibration ‎yields free frequencies, otherwise, forced frequency is produced. The results ‎obtained from the ‎numerical example are in agreement with the ones in the existing literatures. In addition, ‎the ‎effects of vibrations in flexural rigidity and that of the frequencies of vibrations are also presented