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.
International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.4, pp.328 - 352
Available online: 10 Oct 2017 *Full-text access for editors Access for subscribers Purchase this article Comment on this article