DETERMINATION OF CONTACT STRESSES IN THE RAILS P50, WHICH ARE OPERATED IN THE METRO

O. V. Agarkov; R. M. Yosyfovych

doi:10.15802/stp2015/49209

Authors

O. V. Agarkov State Economy and Technology University of Transport, Ukraine https://orcid.org/0000-0001-8250-6280
R. M. Yosyfovych State Economy and Technology University of Transport, Ukraine https://orcid.org/0000-0003-3892-3727

DOI:

https://doi.org/10.15802/stp2015/49209

Keywords:

rail, wheel, contact interaction, elastic deformations, finite element method

Abstract

Purpose. In the research one should do: 1) to determine a 3-d stress-strain state of the rail head in contact with the rolling wheels; 2) to analyze different forms of contact interaction; 3) to obtain the data necessary to calculate the durability of railway track rails. Methodology. The basis for calculating the 3-d stress-strain state is the finite element method. The basis for calculating the volume of the stress-strain state is the finite element method. The problem was solved in the elastic 3-D conditions. Real geometrical bodies parameters were used during the solving. Findings. The calculation of the 3-d stress-strain state of the rail head in contact with the rolling wheels for various cases of the contact surfaces geometry is performed. The results of calculation are presented in the graphic and tabular form. The comparison of different options contact conditions is performed. The results are analyzed and conclusions about the optimality conditions of contact interaction are made. Originality. The results of the calculation showed that within the criterion of minimizing the contact stresses in the rails P50 for the conditions specific to the direct contact route section, the use of rolling wheels with a profile according to the drawings of CJSC «MINETEK» is not the most rational decision. The most rational in this case, among the considered is the laying of rails in track with gradient 1:20 and the use of the wheel with the rolling surface profile of 1:10 conicity. The lack of rail gradient eliminates the benefits of the wheel running surface with 1:10 conicity, and a case of contact interaction is the least rational. Practical value. The results of analysis of the contact interaction of the rail head with a rolling stock wheel in a three-dimensional elastic formulation for different conditions of contact interaction were obtained. These data can be used to optimize the conditions of contact interaction and scientific substantiation of the causes of defects of the contact fatigue origin in the railway railhead. The presented models can be upgraded, including the residual stresses in the rails, hardening of the surface layer, and the presence of initial defects as a result of imperfections in the manufacturing process and others in the calculations.

Author Biographies

O. V. Agarkov, State Economy and Technology University of Transport

Dep. «Theoretical and Applied Mechanics», Lukashevich St., 19, Kyiv, Ukraine, 03049, tel. +38 (044) 591 51 87

R. M. Yosyfovych, State Economy and Technology University of Transport

Dep. «Railway Track and Track Facilities», Lukashevich St., 19, Kyiv, Ukraine, 03049, tel. +38 (044) 591 51 47

References

DSTU 4344:2004. Reiky zvychaini dlia zaliznyts shyrokoi kolii [Sate standart 4344:2004.Normal rails for the broad gauge Railways]. Kyiv, Derzhspozhyvstandart Ukrainy Publ., 2005. 28 p.

Kurhan D.M. Do vyrishennia zadach rozrakhunku kolii na mitsnist iz urakhuvanniam nerivnopruzhnosti pidreikovoi osnovy [To the solution of problems about the railways calculation for strength taking into account unequal elasticity of the subrail base]. Nauka ta prohres transportu. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu – Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, 2015, no. 1 (55), pp. 90-99. doi: 10.15802/stp2015/38250.

Nastechyk M.P., Bondarenko I.O., Markul R.V. Doslidzhennia napruzhenoho stanu v elementakh vuzla skriplennia typu КПП-5 pid diieiu rukhomoho skladu [Investigation of stress state in the elements of rail fastenings, type КПП-5 under the influence of rolling stock]. Nauka ta prohres transportu. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu – Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, 2015, no. 2 (56). pp. 146-156. doi: 10.15802/stp2015/42174.

Norri D., Zh. de Friz. Vvedeniye v metod konechnykh elementov [Introduction to finite element method].Moscow, Mir Publ., 1981. 304 p.

Segerlind, L. Primeneniye metoda konechnykh elementov [Application of the finite element method].Moscow, Mir Publ., 1979. 392 p.

Pisarenko G.S., Agarev V.A., Kvitka A.L. Soprotivleniye materialov [Resistance of materials]. Kyiv, Vyshcha shkola Publ., 1986. 775 p.

Umanskiy S.E. Optimizatsiya priblizhennykh metodov resheniya krayevykh zadach mekhaniki [Optimization of approximate methods of solution of boundary value problems of mechanics]. Kyiv, Naukova dumka Publ., 1983. 168 p.

Shakhunyants G.M. Zheleznodorozhnyy put [Railway track].Moscow, Transport Publ., 1987. 479 p.

Yakovlev V.F. Issledovaniye kontaktnykh napryazheniy v elementakh kolesa i relsa pri deystvii vertikalnykh i kasatelnykh sil [Investigation of contact stresses in the elements of wheel and rail under the action of vertical and shear forces]. Sbornik Leningradskogo instituta inzhenerov zheleznodorozhnogo transporta [Proc. of the Leningrad Institute of Railway Transport Engineers]. Leningrad, 1962, no. 187, pp. 3-89.

Dang Van K., Maitoumam M.H., Moumni Z., Roger F. A comprehensive approach for modeling fatigue and fracture of rails. Engineering Fracture Mechanics, 2009, vol. 76, issue 17, pp. 2626-2636. doi: 10.1016/j.engfracmech.2008.12.020.

Ali Arslan M., Kayabasi M. 3-D Rail-Wheel contact analysis using FEA. Advances in Engineering Software, 2012, vol. 45, issue 1, pp. 325-331. doi.org/10.1016/j.advengsoft.2011.10.009.

Bogdanski S., Lewicki S. 3D model of liquid entrapment mechanism of rolling contact fatigue cracks in rails. Wear, 2008, vol. 265, issue 9-10, pp. 1356-1362. doi: 10.1016/j.wear.2008.03.014.

Jungwon S., Seokjin K., Deonghyeong L. Effects of surface defects on rolling contact fatigue of rail. Procedia Engineering, 2011, vol. 10, pp. 1274-1278. doi: 10.1016/j.proeng.2011.04.212.

Taraf M., Zahaf E.H., Oussouaddi O., Zeghloul A. Numerical Analysis for predicting the rolling contact fatigue crack initiation in a railway wheel steel. Tribology International, 2010, vol. 43, issue 3, pp. 585-593. doi: 10.1016/j.triboint.2009.09.007.

JungWon S., Seokjin K., HyenKue J., DongHyeong L. Numerical stress analysis and rolling contact fatigue of White Etching Layer on rail steel. International Journal of Fatigue, 2011, vol. 33, issue 2, pp. 203-211. doi: 10.1016/j.ijfatigue.2010.08.007.