2008
DOI: 10.1016/j.compstruc.2008.04.010
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Finite element procedures for nonlinear structures in moving coordinates. Part II: Infinite beam under moving harmonic loads

Abstract: International audienceThis paper presents a numerical approach to the stationary solution of infinite Euler-Bernoulli beams posed on Winkler foundations under moving harmonic loads. The procedure proposed in Part 1 [1], which has been applied to consider the longitudinal vibration of rods under constant amplitude moving loads in moving coordinates, is enhanced herein for the case of moving loads with time-dependent amplitudes. Firstly, the separation of variables is used to distinguish the convection component… Show more

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Cited by 59 publications
(33 citation statements)
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“…These values are selected in such a way that to provide a foundation model that is more compliant with respect to that of the linear elastic foundation for small beam displacements and, at the same time, stiffer for large displacements, as proposed by many authors (see e.g. Nguyen and Duhamel [18]). Fig.…”
Section: Beams Lying On a Nonlinear Elastic Foundationmentioning
confidence: 99%
“…These values are selected in such a way that to provide a foundation model that is more compliant with respect to that of the linear elastic foundation for small beam displacements and, at the same time, stiffer for large displacements, as proposed by many authors (see e.g. Nguyen and Duhamel [18]). Fig.…”
Section: Beams Lying On a Nonlinear Elastic Foundationmentioning
confidence: 99%
“…In addition, the sleeper dynamic response is important because it affects the stability of the railway track and the maximum speed of the train. Substantial researches using analytic methods for rail track have been carried out, for example : the effect of wheel-rail contact forces [17,18] or the vibration of the railway track (by considering the model of a ballasted track with discrete supports [8,9,13,14,1] or the model of the infinite beam placed on a continuous foundation [10,7,6,11]). The studies of each component of the rail track were performed on the rail [19,16,15], or on the ballast [20,22].…”
Section: Introductionmentioning
confidence: 99%
“…s K is an additional parameter defining the foundation, usually termed as the shear constant of the foundation (Kargarnovin et al 2005, Nguyen and Duhamel 2008, Ansari et al 2011, Basu and Kameswara 2013. By substituting of Eq.…”
Section: Mathematical Modelmentioning
confidence: 99%