Title: Vibrations under moving distributed loads of a non-prismatic prestressed Rayleigh beam

Authors: Emem Ayankop Andi

Addresses: Department of Mathematics, Nigerian Defence Academy, Kaduna, Nigeria

Abstract: The vibrations of a non-prismatic prestressed Rayleigh beam resting on an elastic foundation and traversed by distributed loads moving with constant velocities is investigated. The fourth order partial differential equation with variable coefficients governing vibrations of the non-prismatic prestressed Rayleigh beam is solved using the generalised Galerkin method and a modification of the Struble's asymptotic method. Closed form solutions are obtained for the simply supported and clamped/fixed ends boundary conditions. The theoretical considerations find application in calculations relating to dynamic stresses in railways, bridges and foundation for all types of highways.

Keywords: distributed loads; moving masses; non-prismatic; prestressed.

DOI: 10.1504/IJDSDE.2017.087505

International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.4, pp.328 - 352

Received: 29 Jul 2016
Accepted: 09 Mar 2017

Published online: 16 Oct 2017 *

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