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L-H. Tran^1,, T. Hoang¹, G. Foret¹ and D. Duhamel^1,2

¹Laboratoire Navier, UMR 8205, Ecole des Ponts ParisTech, CNRS, UGE, Champs-sur-Marne, France
²Departement of Engineering and Technology in Construction and Transportation Engineering - VNU Hanoi, University of Engineering and Technology, Hanoi, Vietnam

doi:10.4203/ccc.1.12.2

L-H. Tran, T. Hoang, G. Foret, D. Duhamel, "Analytical model to study the influence of sleeper width on the dynamic responses of railway track", in J. Pombo, (Editor), "Proceedings of the Fifth International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 1, Paper 12.2, 2022, doi:10.4203/ccc.1.12.2

Keywords: railway, dynamic structure, analytical model, Floquet theory.

Abstract

The dynamics of infinite beams resting on a homogenous foundation subjected to moving loads has been investigated by analytical methods. However, these methods cannot be applied for non-homogenous foundations. Here, we present an analytical model for infinite beams resting on a periodical viscoelastic foundation, of which the constitution law is periodic along the beam. In the steady-state, the reaction forces of the foundation to the beam are supposed to repeat when the loads recover a length of the foundation period. This periodicity condition existed also for periodically supported beam. By using the Fourier transform, the dynamic equation of the beam and this condition lead to a linear differential equation with a periodic coefficient. Therefore, the Floquet theory has been applied to work out the response. Moreover, the numerical examples show the influence of the foundation periodicity to the dynamic response of the beam.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 1 PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE Edited by: J. Pombo Paper 12.2 Analytical model to study the influence of sleeper width on the dynamic responses of railway track L-H. Tran^1,, T. Hoang¹, G. Foret¹ and D. Duhamel^1,2 ¹Laboratoire Navier, UMR 8205, Ecole des Ponts ParisTech, CNRS, UGE, Champs-sur-Marne, France ²Departement of Engineering and Technology in Construction and Transportation Engineering - VNU Hanoi, University of Engineering and Technology, Hanoi, Vietnam doi:10.4203/ccc.1.12.2 Full Bibliographic Reference for this paper L-H. Tran, T. Hoang, G. Foret, D. Duhamel, "Analytical model to study the influence of sleeper width on the dynamic responses of railway track", in J. Pombo, (Editor), "Proceedings of the Fifth International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 1, Paper 12.2, 2022, doi:10.4203/ccc.1.12.2 Keywords: railway, dynamic structure, analytical model, Floquet theory. Abstract The dynamics of infinite beams resting on a homogenous foundation subjected to moving loads has been investigated by analytical methods. However, these methods cannot be applied for non-homogenous foundations. Here, we present an analytical model for infinite beams resting on a periodical viscoelastic foundation, of which the constitution law is periodic along the beam. In the steady-state, the reaction forces of the foundation to the beam are supposed to repeat when the loads recover a length of the foundation period. This periodicity condition existed also for periodically supported beam. By using the Fourier transform, the dynamic equation of the beam and this condition lead to a linear differential equation with a periodic coefficient. Therefore, the Floquet theory has been applied to work out the response. Moreover, the numerical examples show the influence of the foundation periodicity to the dynamic response of the beam. download the full-text of this paper (PDF, 7 pages, 461 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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