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Z. Dimitrovová^1,2

¹Departamento de Engenharia Civil, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Portugal
²IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Portugal

doi:10.4203/ccp.110.180

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, "Semi-Analytical Solution of a Moving Mass Problem", in J. Pombo, (Editor), "Proceedings of the Third International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Stirlingshire, UK, Paper 180, 2016. doi:10.4203/ccp.110.180

Keywords: transverse vibration, moving mass, eigenvalue expansion, Fourier transform, Laplace transform, semi-analytical solution.

Summary

In this paper a new analytical solution for a moving mass problem is given. The new analytical formula is presented for the deflection shape of an infinite beam that is traversed by a moving mass and supported by a visco-elastic foundation. In such a case the deflection shape resembles the one associated with the moving force with an additional oscillation around it. The frequency of this mass induced oscillation depends on the foundation characteristics and the amplitude can be derived analytically. It is also shown that if the force associated with the mass has a harmonic component, then its frequency is superposed to the one induced by the foundation. The new formula presented accounts also for the effect of the normal force and Pasternak's modulus.

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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: 110 PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE Edited by: J. Pombo Paper 180 Semi-Analytical Solution of a Moving Mass Problem Z. Dimitrovová^1,2 ¹Departamento de Engenharia Civil, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Portugal ²IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Portugal doi:10.4203/ccp.110.180 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Semi-Analytical Solution of a Moving Mass Problem", in J. Pombo, (Editor), "Proceedings of the Third International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Stirlingshire, UK, Paper 180, 2016. doi:10.4203/ccp.110.180 Keywords: transverse vibration, moving mass, eigenvalue expansion, Fourier transform, Laplace transform, semi-analytical solution. Summary In this paper a new analytical solution for a moving mass problem is given. The new analytical formula is presented for the deflection shape of an infinite beam that is traversed by a moving mass and supported by a visco-elastic foundation. In such a case the deflection shape resembles the one associated with the moving force with an additional oscillation around it. The frequency of this mass induced oscillation depends on the foundation characteristics and the amplitude can be derived analytically. It is also shown that if the force associated with the mass has a harmonic component, then its frequency is superposed to the one induced by the foundation. The new formula presented accounts also for the effect of the normal force and Pasternak's modulus. purchase the full-text of this paper (price £22) 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 £85 +P&P)
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