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Effects of Young’s modulus on response of railway sleeper. (English) Zbl 1421.74061

Summary: As a main part of a railroad system, sleepers have important duty in conveying the load from rails to the ballast. The different situations in which the sleepers should function necessitate making them from different materials, such as various types of wood, reinforced concrete and even steel. In this work, the effects of Young’s modulus on response of railway sleeper are evaluated. As a main consideration, Winkler’s theorem is used to model the behavior of the elastic foundation. First, the response of a sleeper on a Winkler’s foundation is found. To evaluate the results of the closed form solution, a finite element model is used. Good agreement between the results of the closed form solution and the finite element model proves the validity of the results. In the next stage, the Young’s modulus is considered as a variable and the fundamental diagrams of the beam are plotted based on the variation of Young’s modulus.

MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74S05 Finite element methods applied to problems in solid mechanics
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References:

[1] Den Hartog, J. P., Advanced Strength of Materials (1952), McGraw-Hill: McGraw-Hill New York
[2] Hetenyi, M., Beams on Elastic Foundation (1946), The University of Michigan Press: The University of Michigan Press Michigan · Zbl 0035.40302
[3] Filipich, C. P.; Rosales, M. B., A further study about the behavior of foundation piles and beams in a Winkler-Pasternak soil, Int. J. Mech. Sci., 44, 21-36 (2002) · Zbl 1125.74337
[4] J. Wang, P. Qiao, J.F. Davalos, Elastic foundation model-based TDCB specimen for mode-I fracture of bi-material bonded interface, in: 15th ASCE Eng. Mech. Conf., June 2-5, 2002.; J. Wang, P. Qiao, J.F. Davalos, Elastic foundation model-based TDCB specimen for mode-I fracture of bi-material bonded interface, in: 15th ASCE Eng. Mech. Conf., June 2-5, 2002.
[5] M. Lasecka-Plura, J. Rakowski, Solution of systems with non-homogeneous boundary conditions on the elastic foundation by the difference equation method, in: Proceedings, Conference on Numerical Methods in Continuum Mechanics, Zilina, Slovakia, September, 2003.; M. Lasecka-Plura, J. Rakowski, Solution of systems with non-homogeneous boundary conditions on the elastic foundation by the difference equation method, in: Proceedings, Conference on Numerical Methods in Continuum Mechanics, Zilina, Slovakia, September, 2003.
[6] Lee, H. P., Dynamic response of a Timoshenko beam on a Winkler foundation subjected to a moving mass, Appl. Acoust., 55, 203-215 (1998)
[7] Huang, M. H.; Thambiratnam, D. P., Deflection response of plate on Winkler foundation to moving accelerated loads, Eng. Struct., 23, 1134-1141 (2001)
[8] Al Nageim, H.; Mohammed, F.; Lesley, L., Numerical results of the LR55 track system modeled as multilayer beams on elastic foundation, J. Construct. Steel Res., 46, 347 (1998)
[9] Chen, X. W.; Yu, T. X., Elastic-plastic beam-on-foundation under quasi-static loading, Int. J. Mech. Sci., 42, 2261-2281 (2000) · Zbl 0988.74037
[10] Silva, A. R.D.; Silveira, R. A.M.; Goncalves, P. B., Numerical methods for analysis of plates on tensionless elastic foundations, Int. J. Solids Struct., 38, 2083-2100 (2001) · Zbl 1090.74692
[11] Al-Hosani, K., A non-singular fundamental solution for boundary element analysis of thick plates on Winkler foundation under generalized loading, Comput. Struct., 79, 2767-2780 (2001)
[12] Huang, M. H.; Thambiratnam, D. P., Analysis of plate resting on elastic supports and elastic foundation by finite strip method, Comput. Struct., 79, 2547-2557 (2001)
[13] Ma, T. F., Existence results for a model of nonlinear beam on elastic bearings, Appl. Math. Lett., 13, 11-15 (2000) · Zbl 0965.74030
[14] Hong, T.; Teng, J. G.; Luo, Y. F., Axisymmetric shells and plates on tensionless elastic foundations, Int. J. Solids Struct., 25, 5277-5300 (1999) · Zbl 0936.74066
[15] Kerr, A. D., On the determination of the rail support modulus \(k\), Int. J. Solids Struct., 37, 4335-4351 (2000) · Zbl 0952.74532
[16] S. Timoshenko, Advanced Strength of Materials, third ed., 1956.; S. Timoshenko, Advanced Strength of Materials, third ed., 1956. · JFM 67.0794.03
[17] M. Rahmat, Reinforcing of concrete sleepers by composite materials, B.Sc. Thesis, Department of Mechanical Engineering, Iran University of Science of Technology (IUST), Tehran, Iran, 2004.; M. Rahmat, Reinforcing of concrete sleepers by composite materials, B.Sc. Thesis, Department of Mechanical Engineering, Iran University of Science of Technology (IUST), Tehran, Iran, 2004.
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