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Dynamic Response of Mindlin Elastic Plate Supported by Pasternak Foundation under Uniform Partially Distributed Moving Load

Agarana, M. C. and Gbadeyan, J.A. (2015) Dynamic Response of Mindlin Elastic Plate Supported by Pasternak Foundation under Uniform Partially Distributed Moving Load. Australian Journal of Applied Mathematics. pp. 17-26. ISSN 203-9478 (Print) ISSN: 2203-9486 (Online)

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Abstract

Various transport structures, ranging from railways, roads and bridges to space vehicles and submarines, are usually subjected to moving loads which vary in both space and time. All branches of transport have experienced great advances, characterised by increasing high speed and weights of railway vehicles. Structures and media on which the railway vehicles move have, therefore, been subjected to vibration and dynamic stress more than ever before. The motivation for this paper is from the observation that most of the works available in the literature are concerned with plates for which the effects of both rotatory inertia and shear deformation are neglected. Also the plates are assumed not resting on any foundation. In this paper, the dynamic response of Mindlin plate, continuously supported by Pasternak foundation and traversed by moving load is investigated. Finite difference method is used to transform the set of coupled partial differential equations to a set of algebraic equations. The desired solutions are obtained with the aid of computer programs developed in conjunction with MATLAB. This shows that the elastic foundation, rotatory inertia and shear deformation have significant effect on the dynamic response of the plate, to the moving load. In particular, it is observed that the deflection of the plate decreases as the foundation moduli increase

Item Type: Article
Uncontrolled Keywords: Mindlin plate, finite difference method, dynamic response, Pasternak foundation, moving load.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 21 Sep 2015 15:21
Last Modified: 21 Sep 2015 15:21
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/5467

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