Dynamic response of damped orthotropic plate on Pasternak foundation to dynamic moving loads

摘要

The study of the dynamic response of a damped orthotropic rectangular plate resting on a Pasternak foundation subjected to a dynamic moving load is important, as some of the results may contribute to the understanding of the dynamic behavior of rigid pavements. In this paper, a procedure incorporating the Modified Bolotin Method is developed to find the natural frequencies and the eigenfunctions of a damped rectangular orthotropic plate supported by an elastic foundation. The effect of a dynamic moving load is further studied, whereby the load is suddenly moving to a new position and continues moving to the edge of the plate with a constant velocity. The dynamic response of the plate is obtained on the basis of orthogonality properties of eigenfunctions. The dynamic response of the plate is expressed in integral form, so that it can be readily integrated using the Duhamel's integration method to obtain the various dynamic responses of the plate.