Table of Contents
International Scholarly Research Notices
Volume 2016, Article ID 4975345, 9 pages
http://dx.doi.org/10.1155/2016/4975345
Research Article

Dynamic Response of a Rigid Pavement Plate Based on an Inertial Soil

University of Abomey-Calavi, 01 BP 2009 Cotonou, Benin

Received 7 November 2015; Accepted 15 December 2015

Academic Editor: Ömer Cívalek

Copyright © 2016 Mohamed Gibigaye et al. 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.

Abstract

This work presents the dynamic response of a pavement plate resting on a soil whose inertia is taken into account in the design of pavements by rational methods. Thus, the pavement is modeled as a thin plate with finite dimensions, supported longitudinally by dowels and laterally by tie bars. The subgrade is modeled via Pasternak-Vlasov type (three-parameter type) foundation models and the moving traffic load is expressed as a concentrated dynamic load of harmonically varying magnitude, moving straight along the plate with a constant acceleration. The governing equation of the problem is solved using the modified Bolotin method for determining the natural frequencies and the wavenumbers of the system. The orthogonal properties of eigenfunctions are used to find the general solution of the problem. Considering the load over the center of the plate, the results showed that the deflections of the plate are maximum about the middle of the plate but are not null at its edges. It is therefore observed that the deflection decreased 18.33 percent when the inertia of the soil is taken into account. This result shows the possible economic gain when taking into account the inertia of soil in pavement dynamic design.