Abstract
Elastic foundation models offer a computationally efficient way for the qualitative analysis of the railway track system. However, the inertial characteristics of the foundation are neglected while modeling the railway track system using those models. This paper investigates the effect of incorporating the mass of the foundation on the behavior of the elastic foundation models under the dynamic train loading. The railway track system is idealized as an infinite Euler–Bernoulli beam resting on a continuous two-layer system with top and bottom layer denoting the ballast and subgrade, respectively. The ballast layer is modeled using inertial elastic shear elements and the subgrade by inertial viscoelastic elements. A time-domain deflection analysis of the proposed model is carried out for various ranges of train speeds. It is found that the incorporation of the inertial characteristics of the substructural system may lead to significant underestimation in the critical velocity values (by up to 85%). Further, the deflection magnitudes and the critical velocity of the system are found to be highly sensitive to the stiffness of the substructure. Higher deflection and lower critical velocity values are observed in the case of soft subgrade as compared to those in the stiff subgrade. Finally, the incorporation of the shear parameter associated with the ballast significantly decreases the deflection magnitudes.
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References
Basu D, Kameswara Rao NSV (2013) Analytical solutions for Euler-Bernoulli beam on visco-elastic foundation subjected to moving load. Int J Numer Anal Meth Geomech 37(8):945–960
Costa PA, Colaço A., Calçada R, Cardoso AS (2015) Critical speed of railway tracks. Detailed and simplified approaches. Transp Geotech 2:30–46. https://doi.org/10.1016/j.trgeo.2014.09.003
Chen YH, Huang YH (2000) Dynamic stiffness of infinite Timoshenko beam on viscoelastic foundation in moving co-ordinate. Int J Numer Meth Eng 48(1):1–18
Chen YH, Huang YH, Shih CT (2001) Response of an infinite Timoshenko beam on a viscoelastic foundation to a harmonic moving load. J Sound Vib 241(5):809–824
Dimitrovová Z, Varandas JN (2009) Critical velocity of a load moving on a beam with a sudden change of foundation stiffness: applications to high-speed trains. Comput Struct 87(19–20):1224–1232
Esveld C (2001) Modern railway track, 2nd edn. MRT Press, Zaltbommel, Netherlands
Froio D, Rizzi E, Simões FM, Da Costa AP (2018) Universal analytical solution of the steady-state response of an infinite beam on a Pasternak elastic foundation under moving load. Int J Solids Struct 132:245–263
Kargarnovin MH, Younesian D (2004) Dynamics of Timoshenko beams on Pasternak foundation under moving load. Mech Res Commun 31(6):713–723
Kausel E, Roësset JM (1992) Frequency domain analysis of undamped systems. J Eng Mech 118(4):721–734. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:4(721)
Kenney JT (1954) Steady-state vibrations of beam on elastic foundation for moving load. J Appl Mech 21:359–364
Mallik AK, Chandra S, Singh AB (2006) Steady-state response of an elastically supported infinite beam to a moving load. J Sound Vib 291(3–5):1148–1169
Sun L (2001) A closed-form solution of a Bernoulli-Euler beam on a viscoelastic foundation under harmonic line loads. J Sound Vib 242(4):619–627
Timoshenko S (1926) Method of analysis of statical and dynamical stresses in rail. In: Proceedings of the Second International Congress for Applied Mechanics, Zurich Switzerland, pp 407–418
Younesian D, Kargarnovin MH (2009) Response of the beams on random Pasternak foundations subjected to harmonic moving loads. J Mech Sci Technol 23(11):3013–3023
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Kumawat, A., Raychowdhury, P., Chandra, S. (2020). Investigation of the Inertial Characteristics of the Railway Track System. In: Latha Gali, M., P., R.R. (eds) Geotechnical Characterization and Modelling. Lecture Notes in Civil Engineering, vol 85. Springer, Singapore. https://doi.org/10.1007/978-981-15-6086-6_55
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DOI: https://doi.org/10.1007/978-981-15-6086-6_55
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