Effect of the span length for using finite to analogize infinite beam on viscoelastic foundation under a harmonic moving load

Author:

Gao Siyu,Shi Kang

Abstract

Abstract Railways with continuous rails are often modeled as infinite beams. In this paper, closed-form solution is firstly derived for the response of an infinite beam supported by viscoelastic foundation under a harmonic moving load by residue theorem method. The most suitable span length will be found for the analogic finite beam to best represent the deflection of the infinite beam for practical reasons. Starting from the equations of motion, closed-form solution is firstly derived for the infinite beam. Then, a FEM modeling procedure will be adopted to conform the validity of the solution derived analytically. The deflection curves of the infinite beam and analogic finite beam are compared for various parameters.

Publisher

IOP Publishing

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