Abstract
In railway system dynamics the dynamic stability problem has significant role particularly when it comes to dealing with the motion of the vertically deformable joints on damped Winkler foundation. Timoshenko and Euler-Bernoulli beam equations are the two widely used methods for dynamics analysis of this problem. This paper describes a comparison between Euler-Bernoulli and Timoshenko beam equations to investigate the track motion dynamic stability via solving the fourth order partial differential of the both models on an Elastic Foundation. This article aims at identifying an efficient model for future investigation on the track motion dynamics stability for the advanced railway systems.
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References
Zobory, I., Zoller, V.: Track-vehicle dynamical model consisting of a beam and lumped parameter component. Priodica Polytech. 25, 3–8 (1997)
Mosavi, A., Vaezipour, A.: Reactive search optimization; application to multiobjective optimization problems. Appl. Math. 3, 1572–1582 (2012)
Wang, X.: Timoshenko beam theory: a perspective based on the wave-mechanics approach. Wave Motion 57, 64–87 (2015)
Roux, A.: Elastic waves in a Timoshenko beam with boundary damping. Wave Motion 57, 194–206 (2015)
Kahrobaiyan, M.: A Timoshenko beam element based on the modified couple stress theory. Mech. Sci. 79, 75–83 (2014)
Andersen, L., Nielsen, S.: Vibrations of a track caused by variation of the foundation stiffness. Probab. Eng. Mech. 18, 171–184 (2003)
Zobory, I., Zoller, V.: Dynamic behaviour of a railway track. Prog. Ind. Math. 67, 405–409 (2002)
Yankelevsky, D.: Analysis of beam on nonlinear Winkler foundation. Comput. Struct. 31, 287–292 (1989)
Dinev, D.: Analytical solution of beam on elastic foundation by singularity functions. Eng. Mech. 19, 381–392 (2012)
Jin, X.: Effect of sleeper pitch on rail corrugation at a tangent track in vehicle hunting. Wear 265, 1163–1175 (2008)
Garg, V.: Dynamics of Railway Vehicle Systems. Elsevier Canada, Toronto (2012)
Zobory, I., Zoller, V.: On dynamics of the track rail supporting parameters. Transp. Eng. 39, 83–85 (2011)
Ding, Z.: A general solution to vibrations of beams on variable Winkler elastic foundation. Comput. Struct. 47, 83–90 (1993)
Deng, H., Chen, K., Cheng, W., Zhao, S.: Vibration and buckling analysis of double-functionally graded Timoshenko beam system on Winkler-Pasternak elastic foundation. Compos. Struct. 160, 152–168 (2017)
Esveld, C.: Modern Railway Track, vol. 45, pp. 575–588. MRT-Productions, Zaltbommel (2001)
Ling, L.: A 3D model for coupling dynamics analysis of high-speed train/track system. Dyn. Anal. 15, 964–983 (2014)
Mosavi, A.: Decision-making models for optimal engineering design and their applications. Doctoral Dissertation, University of Debrecen, Hungary (2013)
Mosavi, A.: Optimal engineering design. Technical report, University of Debrecen (2013)
Baeza, L.: Railway train-track dynamics for wheel flats with improved contact models. Nonlinear Dyn. 45, 385–397 (2006)
Mosavi, A.: A multicriteria decision making environment for engineering design and production decision-making. Int. J. Comput. Appl. 69, 26–38 (2013)
Dahlberg, T.: Railway track dynamics-a survey. Linköping University (2003)
Mosavi, A.: Decision-making in complicated geometrical problems. Int. J. Comput. Appl. 87, 22–25 (2014)
Mosavi, A.: On engineering optimization the splined profiles. In: Proceedings of International modeFRONTIER (2010)
Bogacz, D.: Response of beam on visco-elastic foundation to moving distributed load. J. Theoret. Appl. Mech. 46, 763–775 (2008)
Mosavi, A., et al.: Multiple criteria decision making integrated with mechanical modeling. In: Composite Materials (2012)
Koh, C.: Moving element method for train-track dynamics. J. Numer. Methods Eng. 56, 1549–1567 (2003)
Acknowledgement
This work has partially been sponsored by the Research & Development Operational Program for the project “Modernization and Improvement of Technical Infrastructure for Research and Development of J. Selye University in the Fields of Nanotech-nology and Intelligent Space”, ITMS 26210120042, co-funded by the European Regional Development Fund.
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Mosavi, A., Benkreif, R., Varkonyi-Koczy, A.R. (2018). Comparison of Euler-Bernoulli and Timoshenko Beam Equations for Railway System Dynamics. In: Luca, D., Sirghi, L., Costin, C. (eds) Recent Advances in Technology Research and Education. INTER-ACADEMIA 2017. Advances in Intelligent Systems and Computing, vol 660. Springer, Cham. https://doi.org/10.1007/978-3-319-67459-9_5
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DOI: https://doi.org/10.1007/978-3-319-67459-9_5
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