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Keywords: railway dynamics, two layer model, double-beam, nonlinear properties.

Summary

Modelling of railway structures is of importance in recent investigations concerned with dynamic problems of rail transportation. The railway is usually modelled as one layer system described by the dynamic equation of a beam resting on a Winkler foundation or a two layer system consisting of two beams associated with rails and sleepers, connected by a viscoelastic layer. Experimental measurements show that introduction of nonlinear properties into such models might bring important information about the dynamic behaviour of realistic operational systems. In this paper, the problem of the dynamic response of an infinite double-beam system resting on a nonlinear viscoelastic foundation and subjected to a set of moving forces, being a representation of a railway track with a moving train, is considered. The theoretical model consists of the coupled nonlinear system of partial differential equations with homogeneous boundary conditions. The response of structure is obtained by applying the Galilean co-ordinate transformation and the Adomian's decomposition method combined with a coiflet based approximation. The idea presented enables the small parameter approach to be overcome and reduces difficulties related to the direct calculation of the Fourier integrals. The applied approach using parameters taken from measurements carried out for a Polish railway track during the passage of fast train Pendolino EMU-250 shows the ability of the method used to analyse parametrically the dynamic systems associated with transportation. The results obtained are relatively consistent with measurement data, which can be treated as a first step towards the validation of the semi-analytical wavelet based technique developed. This validation along with the solution obtained for the considered type of load representation are the main novelties of this paper.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 108 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Paper 199 Vibrations of Railway Tracks Modelled as a Two Layer Structure P. Koziol Faculty of Civil Engineering, Cracow University of Technology, Poland doi:10.4203/ccp.108.199 purchase the full-text of this paper Full Bibliographic Reference for this paper P. Koziol, "Vibrations of Railway Tracks Modelled as a Two Layer Structure", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 199, 2015. doi:10.4203/ccp.108.199 Keywords: railway dynamics, two layer model, double-beam, nonlinear properties. Summary Modelling of railway structures is of importance in recent investigations concerned with dynamic problems of rail transportation. The railway is usually modelled as one layer system described by the dynamic equation of a beam resting on a Winkler foundation or a two layer system consisting of two beams associated with rails and sleepers, connected by a viscoelastic layer. Experimental measurements show that introduction of nonlinear properties into such models might bring important information about the dynamic behaviour of realistic operational systems. In this paper, the problem of the dynamic response of an infinite double-beam system resting on a nonlinear viscoelastic foundation and subjected to a set of moving forces, being a representation of a railway track with a moving train, is considered. The theoretical model consists of the coupled nonlinear system of partial differential equations with homogeneous boundary conditions. The response of structure is obtained by applying the Galilean co-ordinate transformation and the Adomian's decomposition method combined with a coiflet based approximation. The idea presented enables the small parameter approach to be overcome and reduces difficulties related to the direct calculation of the Fourier integrals. The applied approach using parameters taken from measurements carried out for a Polish railway track during the passage of fast train Pendolino EMU-250 shows the ability of the method used to analyse parametrically the dynamic systems associated with transportation. The results obtained are relatively consistent with measurement data, which can be treated as a first step towards the validation of the semi-analytical wavelet based technique developed. This validation along with the solution obtained for the considered type of load representation are the main novelties of this paper. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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