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Article Dans Une Revue Journal of Sound and Vibration Année : 2017

Calculation of force distribution for a periodically supported beam subjected to moving loads

Tien Hoang
Denis Duhamel
Gilles Forêt
Honoré P. Yin
P. Joyez
  • Fonction : Auteur
R. Caby
  • Fonction : Auteur

Résumé

In this study, a novel model for a periodically supported beam subjected to moving loads was developed using a periodicity condition on reaction forces. This condition, together with Fourier transforms and Dirac combs properties, forms a relation between the beam displacement and support reaction forces. This relation explains the force distribution to the supports, and holds for any type of support and foundation behaviors. Based on this relation, a system equivalence for a periodically supported beam is presented in this paper. An application to nonballasted viscoelastic supports is presented as an example and the results clearly match the existing model. Next, an approximation of real-time responses was developed for the moving loads as periodical series. The comparison shows that this approximation can be used for a limited number of loads if the distances between loads are sufficiently large. The system equivalence for a periodically supported beam is efficient for supports with linear behavior, and could be developed for other behaviors.
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Dates et versions

hal-01695333 , version 1 (29-01-2018)

Identifiants

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Tien Hoang, Denis Duhamel, Gilles Forêt, Honoré P. Yin, P. Joyez, et al.. Calculation of force distribution for a periodically supported beam subjected to moving loads. Journal of Sound and Vibration, 2017, 388, pp.327 - 338. ⟨10.1016/j.jsv.2016.10.031⟩. ⟨hal-01695333⟩
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