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Keywords: wavelet finite element method, moving load, finite element, infinite beam, wavelet expansion, viscoelastic foundation.

Summary

Recent railway engineering underlines the necessity of finding new methods enabling parametrical analysis of dynamic systems associated with rail-track modelling, especially those linked to moving load analysis. A fundamental comparative study on the application of some conventional and wavelet based approaches to moving load analysis is presented in this paper: the classical finite element analysis (FEM), the modified wavelet finite element method (WFEM) and the semi-analytical formulation based on coiflet expansion. The properties of wavelets allow for the function approximations to rapidly converge to the exact solution. Hence, it is for this reason that research of the WFEM in the analysis of structural problems is ongoing and has demonstrated its ability to overcome some difficulties and limitations of the FEM, particularly for problems with regions of the solution domain where the gradient of the field variables is expected to vary rapidly or suddenly, leading to higher computational costs or possible inaccurate results. Another approach, based on an analytical formulation for structures that can be described in terms of the Fourier transforms, uses the coiflet expansion of functions. This provides an alternative approach to classical methods, such as numerical integration or residue theorem. It provides the possibility of avoiding numerical instabilities near critical regions and it is applicable to more complex cases with strong variations such as nonlinear or stochastic systems. Numerical examples are presented for the theoretical model of uniformly distributed and harmonically varying in time load moving with a constant velocity along the beam resting on Winkler foundation, which simulates the response of railway under the moving load of a locomotive.

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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: 104 PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE Edited by: J. Pombo Paper 222 The Analysis of Beams subject to Moving Loads using: Coiflets, the Wavelet Finite Element Method and the Finite Element Method M. Musuva¹, P. Koziol², C. Mares¹ and M.M. Neves³ ¹School of Engineering and Design, Brunel University, London, UK ²Department of Civil and Environmental Engineering, Koszalin University of Technology, Koszalin, Poland ³IDMEC, IST, Institute of Mechanical Engineering, Instituto Superior Técnico, University of Lisbon, Portugal doi:10.4203/ccp.104.222 purchase the full-text of this paper Full Bibliographic Reference for this paper M. Musuva, P. Koziol, C. Mares, M.M. Neves, "The Analysis of Beams subject to Moving Loads using: Coiflets, the Wavelet Finite Element Method and the Finite Element Method", in J. Pombo, (Editor), "Proceedings of the Second International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Stirlingshire, UK, Paper 222, 2014. doi:10.4203/ccp.104.222 Keywords: wavelet finite element method, moving load, finite element, infinite beam, wavelet expansion, viscoelastic foundation. Summary Recent railway engineering underlines the necessity of finding new methods enabling parametrical analysis of dynamic systems associated with rail-track modelling, especially those linked to moving load analysis. A fundamental comparative study on the application of some conventional and wavelet based approaches to moving load analysis is presented in this paper: the classical finite element analysis (FEM), the modified wavelet finite element method (WFEM) and the semi-analytical formulation based on coiflet expansion. The properties of wavelets allow for the function approximations to rapidly converge to the exact solution. Hence, it is for this reason that research of the WFEM in the analysis of structural problems is ongoing and has demonstrated its ability to overcome some difficulties and limitations of the FEM, particularly for problems with regions of the solution domain where the gradient of the field variables is expected to vary rapidly or suddenly, leading to higher computational costs or possible inaccurate results. Another approach, based on an analytical formulation for structures that can be described in terms of the Fourier transforms, uses the coiflet expansion of functions. This provides an alternative approach to classical methods, such as numerical integration or residue theorem. It provides the possibility of avoiding numerical instabilities near critical regions and it is applicable to more complex cases with strong variations such as nonlinear or stochastic systems. Numerical examples are presented for the theoretical model of uniformly distributed and harmonically varying in time load moving with a constant velocity along the beam resting on Winkler foundation, which simulates the response of railway under the moving load of a locomotive. 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 £65 +P&P)
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