Assessing the influence of wheel defects of a rolling stockon railway tracks
Pages 61-72
Transfer of the load from the wheels on the rail occurs at a very small area compared with the size of the wheels and rails. The materials near this site have a very large voltage. Determination of contact stresses is complicated by the fact that the magnitude of these stresses in the rails under actually revolving wheel load exceeds the yield and compressive strength of modern rail steel. We should note that the metal of the rail head, experiencing contact stresses, especially when the location of the pads is closer to the middle of the rail head, works in the conditions close to the compression conditions, and therefore can withstand higher voltage without plastic deformation than the standard compressible sample. But, as a rule, the observed hardening of the metal in the zone of contact stresses and lapping at the edges of the rail head indicates the presence of plastic deformation and, consequently, higher stresses in the wheel-rail contact zone than the yield strength of the metal rail even in the conditions of its operation in the rail head.The use of the design equations derived on the basis of the Hertz theory for metal behavior in elastic stage, is valid. The reason is that each individual dynamic application of wheel loads on the rail is very short, and the residual plastic deformation from the individual loads of the pair of wheels on the rail is actually small. This elastic-plastic deformation of the rail becomes visible as a result of gradual gaining of a missed tonnage of rails and wheels respectively. Irregularities on the running surface of the wheels are of two types. The most common are the so-called continuous bumps on the wheel, when due to the uneven wear of rail the original shape of the wheel across the tread surface distorts. But nowadays, more and more often there occur isolated smooth irregularities of the wheel pairs, due to the increased wear of the wheel because of the stopping and blocking of wheels of the vehicles - slides (potholes), etc.The motion of the wheels with irregularities on the surface of the rail leads to vertical oscillation of the wheel, resulting in the forces of inertia, which is an additional load on the rail. In case of movement of the wheel with isolated roughness on the tread surface of the slide there is a strike, having a very large additional impact on the rail. Such attacks can cause kinked rails, especially in the winter months when there is increased fragility of rail steel, because of lowered temperatures. This is an abnormal phenomenon and occurs relatively rarely, at a small number of isolated irregularities on a wheel of the rolling stock. As correlations connecting the contact force and local deformation in the interaction of the wheel-rail system, we use the quasi-static Hertz’s model, linear-elastic model and two elastoplastic contact models: Alexandrov-Kadomtsev and Kil’chevsky. According to the results of Loktev’s studies ratios of the contact Hertz’s theory are quite suitable for modeling the dynamic effects of wheel and rail for speeds up to 90 km/h for engineering calculations. Since the contact surface is homogeneous and isotropic, the friction forces in the contact zone are not taken into account, the size of the pad is small compared to the dimensions of the contacting bodies and characteristic radii of curvature of the undeformed surfaces, the contacting surfaces are smooth.When train is driving, the position of the wheelset in relation to the rails varies considerably, giving rise to different combinations of the contact areas of the wheel and rail. Even assuming constant axial load the normal voltage will vary considerably because of the differences in the radii of curvature of the contacting surfaces of these zones. Thus, the proposed method allows evaluating the influence of several types of wheel defects on the condition of the rail and the prospects of its use in the upper structure of a railway track on plots with different speed and traffic volumes. Also the results can be used to solve the inverse of the considered problems, for example, when designing high-speed highways, when setting the vehicle speed and axle load, and the solution results are the parameters of the defects, both wheelsets and the rails, in case of which higher requirements for the safe operation of railways are observed.
DOI: 10.22227/1997-0935.2015.5.61-72
- Tehnicheskie usloviya na raboty po rekonstruktsii (modernizatsii) i remontu zheleznodorozhnogo puti. Utverzhdennoe rasporyazhenie OAO “RZhD” ot 18.01.2013. № 75r [Technical Specifications for the Reconstruction (Modernization) and Repair of Railroad Tracks. The disposal of JSC “RZD” from 18.01.2013 no. 75r]. Moscow, 2013, 225 p. (In Russian)
- Loktev A.A. Dynamic Contact of a Spherical Indenter and a Prestressed Orthotropic Uflyand-Mindlin Plate. Acta Mech. 2011, vol. 222 (1—2), pp. 17—25. DOI: http://dx.doi.org/10.1007/s00707-011-0517-8.
- Loktev A.A. Non-Elastic Models of Interaction of an Impactor and an Uflyand-Mindlin Plate. International Journal of Engineering Science. 2012, vol. 50, no. 1, pp. 46—55. DOI: http://dx.doi.org/10.1016/j.ijengsci.2011.09.004.
- Loktev A.A., Sycheva A.V., Vershinin V.V. Modeling of Work of a Railway Track at the Dynamic Effects of a Wheel Pair. Proceeding of the 2014 International Conference on Theoretical Mechanics and Applied Mechanics, Venice, Italy, March 15—17, 2014. Pp. 16—19.
- Sargsyan А.Е., Dvoryanchikov N.V., Dzhinchvelashvili G.А. Stroitel’naya mekhanika. Osnovy teorii s primerami raschetov [Structural Mechanics. Fundamentals of the Theory with Examples of Calculations]. Moscow, ASV Publ., 1998, 424 p. (In Russian)
- Klassifikatsiya defektov rel’sov NTD/TsP-1-93. Katalog defektov rel’sov NTD/TsP-2-93. Priznaki defektnykh i ostrodefektnykh rel’sov NTD/TsP-3-93 : normativno-tekhnicheskaya dokumentatsiya [Classification of Rail Defects NTD/TsP-1-93. Catalogue of Rail Defects NTD/TsP-2-93. Signs of Defective and Fatal Cropped Rails NTD/TsP-3-93 : Normative and Technical Documentation]. Moscow, Transport Publ., 1993. (In Russian)
- Abdurashitov A.Yu., Georgiev M.N., Krysanov L.G. Nadezhnost’ raboty rel’sov v razlichnikh klimaticheskikh usloviyakh [Reliability of Rails in Various Climatic Conditions]. Мoscow, VNIIZhT Publ., 1987, 138 p. (In Russian)
- Kogan A.Ya., Verkhotin А.А. Raschet vozdeystviya na put’ kolesnoy pary s polzunom [Calculation of the Impact on the Path of a Wheelset with a Slider]. Issledovaniya vozmozhnostey povysheniya skorostey dvizheniya poezdov : sbornik nauchnykh trudov [Investigating the Possibilities of Increasing the Velocities of Train Performance : Collection of Scientific Works]. Moscow, Transport Publ., 1984, 224 p. (In Russian)
- Kryasanov L.G., Abdurashitov A.Yu. Svoystva rel’sov s kontaktno-ustalostnymi povrezhdeniyami [Properties of Rails with Contact Fatigue Damages]. Put’ i putevoe khozyaystvo [Railway and Track Facilities]. 1998, no. 8, pp. 2—4. (In Russian)
- Sychev V.P., Cherkashin Yu.M. O stokhasticheskikh metodakh resheniya zadach ustoychivosti i bezopasnosti funktsionirovaniya sistem zheleznodorozhnogo transporta [Stochastic Methods for Solving the Stability and Security Problems of Railway Transport Systems Functioning]. Kachestvennye svoystva, asimptotika i stabilizatsiya nelineynykh dinamicheskikh sistem : mezhvuzovskiy sbornik nauchnykh trudov : posvyashchaetsya 90-letiyu so dnya rozhdeniya professora A.A. Shestakova [Qualitative Properties, Asymptotics and Stabilization of Nonlinear Dynamic Systems : Interuniversity Collection of Scientific Works :Dedicated to the 90th Anniversary of Professor A.A. Shestakov]. Saransk, Mordova State University Publ., 2010, pp. 125—131. (In Russian)
- Abdurashitov A.Yu., Kuznetsov S.V. O vybore optimal’nykh profiley v sisteme «koleso — rel’s» [On Choosing the Best Profiles in the
- Agostinacchio M., Ciampa D., Diomedi M., Olita S. Parametrical Analysis of the Railways Dynamic Response at High Speed Moving Loads. Journal of Modern Transportation. 2013, vol. 21, no. 3, pp. 169—181.
- Olsson R., Donadon M.V., Falzon B.G. Delamination Threshold Load for Dynamic Impact on Plates. International Journal of Solids and Structures. 2006, vol. 43, no. 10, pp. 3124—3141. DOI: http://dx.doi.org/10.1016/j.ijsolstr.2005.05.005.
- Abrate S. Modelling of Impact on Composite Structures. Compos Struct. 2001, vol. 51, pp. 129—138.
- Abrate S. Impact on Laminated Composite Materials. Applied Mechanics Reviews. 1991, vol. 44, no. 4, pp. 155—190. DOI: http://dx.doi.org/10.1115/1.3119500.
- Chen P., Xiong J., Shen Z. Thickness Effect on the Contact Behavior of a Composite Laminate Indented by a Rigid Sphere. Mechanics of Materials. 2008, vol. 40, pp. 183—194.
- Christoforou A.P., Elsharkawy A.A., Guedouar L.H. An Inverse Solution for Low-Velocity Impact in Composite Plates. Computers and Structures. 2001, vol. 79, no. 29—30, pp. 2607—2619.
- Kukudzjanov V.N. Investigation of Shock Wave Structure in Elasto-Visco-Plastic Bar Using the Asymptotic Method. Archive of Mechanics. 1981, vol. 33, no. 5, pp. 739—751.
- Evans G.R., Jones B.C., McMillan A.J., Darby M.I. A New Numerical Method for the Calculation of Impact Forces. Journal of Physics D: Applied Physics. 1991, vol. 24, no. 6, pp. 854—858. DOI: http://dx.doi.org/10.1088/0022-3727/24/6/009.
- Fisher H.D. The Impact of an Elastic Sphere on a Thin Elastic Plate Supported by a Winkler Foundation. Transactions of the ASME. Journal of Applied Mechanics. 1975, vol. 42, no. 1, pp.133—135. DOI: http://dx.doi.org/10.1115/1.3423503.
- Jaeger J. Analytical Solutions of Contact Impact Problems. Applied Mechanics Reviews. 1994, vol. 47, no.2, pp. 35—44.