Journal
COMPUTERS & STRUCTURES
Volume 119, Issue -, Pages 85-94Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2013.01.003
Keywords
Dynamic; Vibration; Railway bridge; High-speed train; Multi-span beam; Moving load
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In this paper, a closed-form solution for evaluating the dynamical behavior of a general multi-span Bernoulli-Euler beam is derived. The natural frequencies of vibration and corresponding mode shapes are obtained by applying the boundary conditions to the characteristic function of a beam. A Laplace transformation is applied to the governing differential equation which is then solved for each normal mode in the frequency domain. The main contribution of this paper is to provide a closed-form solution for the vibration of continuous stepped beams under constant moving loads. Several numerical examples are included. (C) 2013 Elsevier Ltd. All rights reserved.
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