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Abstract
Novel Research in Sciences
On the Moving Distributed Force Problem of a Non-Uniform Prestressed Simply Supported Rayleigh Beam
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Open or CloseEmem Ayankop Andi*
Department of Mathematical Sciences, Nigeria
*Corresponding author:Emem Ayankop Andi, Department of Mathematical Sciences, Nigeria
Submission: January 21, 2020;Published: February 6, 2020
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Abstract
This paper presents a mini review on the moving distributed force problem of a non-uniform prestressed simply supported Rayleigh beam resting on an elastic foundation. The problem, which is reduced to a nonhomogeneous second order ordinary differential equation, is tackled by means of Laplace transforms and Convolution theory. Analytical solutions are presented for the boundary condition under consideration. Conditions under which resonance occur are established. The theoretical considerations find application in calculations relating to dynamic stresses in railways, bridges and foundation for all types of highways.
Keywords: Moving forces; Non-uniform; Prestressed; Distributed loads
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