Way of Stress and Deformation Calculations in the Rails and Anchor Pins of Mining Rack-Railway Track

Frydrýšek, Karel; Freis, Jiří; Kolář, Václav

doi:10.2478/scjme-2024-0031

Abstract

Article deals with the calculation issues of deflection and stress in the rail and pins, which are a part of the anchoring design for rack-railway tracks. The rack-railway track, is intended for the transport of excessively heavy loads and people inside mines. A longitudinal track dip can be up to ± 35deg. Practical application is focused on the calculations of pins and rails, for which a novel combination of analytical approaches and FEM is used, with dynamic loading and the theory of beams on an elastic foundation. The methodology is explained in details and the first results are listed. Everything stated in this article can be used to design transport systems not only in mining/underground constructions.

References

Frydrýšek, K., Fries, J. “Stress Calculations in the Rails and Anchor Pins of Sections DS=25 mm depended on incline angle - Calculation report (Výpočty napětí v kolejnici sekce a svorníku sekce DS=25 mm v závislosti na úhlu sklonu dráhy – Výpočtová zpráva) “, Department of Mechanics of Materials, Faculty of Mechanical engineering, VŠB – Technical University of Ostrava, Ostrava, Czech Republic, pp. 1 – 35, 2010. Written in Czech language.
Search in Google Scholar Back to article
Halama, R., Fajkoš, R., Matušek, P., Bábková, P., Fojtík, F., Václavek, L. “Contact Defects Initiation in Railroad Wheels – Experience, Experiments and Modelling”, Wear 271, pp.174 – 185, 2011.
Search in Google Scholar Back to article
Hay, W.W. “Railway Engineering, Encyclopedia of Physical Science and Technology” (Third Edition); University of Illinois: Illinois, USA, pp. 807 – 844, 2003. DOI:10.1016/B0-12-227410-5/00650-5
Search in Google Scholar Back to article
Pascal, J.P. “Oscillations and Chaotic Behaviour of Unstable Railway Wagons over Large Distances”, Chaos, Solitons & Fractals, 5 (9), pp. 1725 – 1753, 1995. DOI: 10.1016/0960-0779(94)00173-N
Search in Google Scholar Back to article
Frydrýšek, K. “Beams and Frames on Elastic Foundation 1 (Nosníky a rámy na pružném podkladu 1)”; Faculty of Mechanical Engineering, VŠB - Technical University of Ostrava, Ostrava, Czech Republic, pp. 463, 2006. ISBN 80-248-1244-4. Written in Czech language.
Search in Google Scholar Back to article
Frydrýšek, K., Fries, J. “Stresses and Deflections of Rail and Anchor Pin in the Dependence on the Slope Angle of the Railway in Mines”, International Scientic Conference Mechanical Structures and Foundation Engineering MSFE 2010, Ostrava, pp. 1 – 6, 2010.
Search in Google Scholar Back to article
Frydrýšek, K. “Basic Strength and Elasticity of Materials”; Faculty of Mechanical Engineering, VŠB – Technical University of Ostrava, Ostrava, Czech Republic, pp. 1 – 264, 2016. ISBN 978-80-248-3870-0.
Search in Google Scholar Back to article
Galishnikova, V., Gebre, T.H., Al-Sabri, S,M, Saffia-Doe, O. “Second Order Structural Theory for the Stability Analysis of Columns”, Structural Mechanics of Engineering Constructions and Buildings 14 (3), pp. 192 – 197, 2018. DOI: 10.22363/1815-5235-2018-14-3-192-197
Search in Google Scholar Back to article
Gräbe, P. J., Clayton, C. R. “Effects of principal stress rotation on permanent deformation in rail track foundations”, Journal of Geotechnical and Geoenvironmental Engineering, 135 (4), pp. 555 – 565, 2009.
Search in Google Scholar Back to article
Tucho, A., Indraratna, B., Ngo, T. “Stress-deformation analysis of rail substructure under moving wheel load”, Transportation Geotechnics 36, 100805, 2022. DOI: 10.1016/j.trgeo.2022.100805
Search in Google Scholar Back to article
Tzanakakis, K. “The railway track and its long term behaviour: a handbook for a railway track of high quality”, Vol. 2. Springer Science & Business Media, 2013. ISBN: 978-3-642-36051-0
Search in Google Scholar Back to article
Janeras, M., Jara, J., Royán, M.J et al. “Multi-technique approach to rockfall monitoring in the Montserrat massif (Catalonia, NE Spain)”, Engineering geology 219, pp. 4 – 20, 2017. DOI: 10.1016/j.enggeo.2016.12.010
Search in Google Scholar Back to article
Frydrýšek, K., Jančo, R. et al. “Beams and Frames on Elastic Foundation 2 (Nosníky a rámy na pružném podkladu 2) “, Faculty of Mechanical Engineering, VŠB - Technical University of Ostrava, Ostrava, Czech Republic, 2008, pp. 516. ISBN 978-80-248-1743-9. Written in Czech and English.
Search in Google Scholar Back to article
Frydrýšek, K., Nikodým, M. et al. “Beams and Frames on Elastic Foundation 3 (Nosníky a rámy na pružném podkladu 3) “, VŠB – Technical University of Ostrava, Ostrava, Czech Republic, 2010, pp.611. ISBN 978-80-248-2257-0. Written in Czech and English.
Search in Google Scholar Back to article
Frydrýšek, K., Fries, J. et al. “Aplikace konstrukcí na pružném podkladu”, VŠB - Technical University of Ostrava, Ostrava, Czech Republic, 2010, pp.204. ISBN 978-80-248-2361-4. Written in Czech.
Search in Google Scholar Back to article
Hetényi, M. “Beams on Elastic Foundation”, Ann Arbor, University of Michigan Studies, USA, 1964.
Search in Google Scholar Back to article
Melerski, E., S. “Design Analysis of Beams, Circular Plates and Cylindrical Tanks on Elastic Foundations”, London, UK: Taylor & Francis Group, 2006. ISBN 978-0-415-38350-9.
Search in Google Scholar Back to article
Tsudik, E. “Analysis of Beams and Frames on Elastic Foundation”, USA: Trafford Publishing, 2006. ISBN 1-4120-7950-0.
Search in Google Scholar Back to article
Yue, F., Wu, Z., Fan, Z., Li, H. “Two Novel Vlasov Models for Bending Analysis of Finite-Length Beams Embedded in Elastic Foundations”, Buildings 12 (8), 1122, 2022. DOI: 10.3390/buildings12081122
Search in Google Scholar Back to article
Stampka, K., Sarradj, E. “A Time-Domain Finite-Difference Method for Bending Waves on Infinite Beams on an Elastic Foundation”, Acoustics 4 (4), pp. 867 – 884, 2022. DOI: 10.3390/acoustics4040052
Search in Google Scholar Back to article
Frydrýšek, K., Pečenka, L. “Probabilistic Evaluation of Residual Stresses for Hole-Drilling Tests”, Applied Mechanics and Materials 684, pp. 400 – 406, 2014. ISSN: 1660-9336, DOI: 10.4028/www.scientific.net/AMM.684.400
Search in Google Scholar Back to article
Frydrýšek, K. “Probabilistic approaches applied in the solution of problems in mining and biomechanics”, In Proceedings of the 17th International Conference ENGINEERING MECHANICS 2011, Svratka, Czech Republic, 9 – 12 May 2011; pp. 151 – 154, 2011. ISBN 978-80-87012-33-8
Search in Google Scholar Back to article
Frydrýšek, K., Marek, P. “Probabilistic solution and reliability assessment of the hard rock disintegration proces”, Reliability, Risk and Safety: Theory and Applications 1-3, European Safety and Reliability Conference (ESREL 2009), Prague, Czech Republic, pp. 1443 – 1450, 2009. ISBN: 978-0-415-55509-8
Search in Google Scholar Back to article
Marek, P., Brozzetti, J., Guštar, M., Tikalsky P. “Probabilistic Assessment of Structures Using Monte Carlo Simulation Background, Exercises and Software”, (2nd extended edition); ITAM CAS, Prague, Czech Republic, pp. 1 – 471, 2003. ISBN 80-86246-19-1
Search in Google Scholar Back to article
Frydrýšek, K., Čepica, D., Halo, T. “Biomechanics - Probabilistic anthropometry approach for sitting human and seat”, In Proceedings of the Experimental Stress Analysis - 57th International Scientific Conference, EAN 2019, Praha, Czech Republic, pp. 90 – 96, 2019. ISBN 978-80-214-5766-9
Search in Google Scholar Back to article
Frydrýšek, K., Šír, M., Pleva, L., Szeliga, J., Stránský, J., Čepica, D., Kratochvíl, J., Koutecký, J., Madeja, R., Dědková, K.P., Stančeková, D. “Stochastic Strength Analyses of Screws for Femoral Neck Fractures”, Appl. Sci. 12, 1015, 2022. DOI: 10.3390/app12031015
Search in Google Scholar Back to article
Tvrdá, K. “Foundation Plate on the Elastic Half-Space, Deterministic and Probabilistic Approach”, In Proceedings of the Conference on Dynamics of Civil Engineering and Transport Structures and Wind Engineering Dyn-Wind’2017, MATEC Web of Conferences, Bratislava, Slovakia, 21–25 May 2017; Volume 107. no. 00058, 2017.
Search in Google Scholar Back to article
Monjardin-Quevedo, J.G., Valenzuela-Beltran, F., Reyes-Salazar, A., Leal-Graciano, J.M., Torres-Carrillo, X.G., Gaxiola-Camacho, J.R. “Probabilistic Assessment of Buildings Subjected to Multi-Level Earthquake Loading Based on the PBSD Concept”, Buildings 12, 1942, 2022. DOI: 10.3390/buildings12111942
Search in Google Scholar Back to article
Malerová, L., Pokorný, J., Kristlová, E., Wojnarova, J. “Using of mobile flood protection on the territory of the Moldova as possible protection of the community”, IOP Conf. Ser. Earth Environ. Sci. 92, 12039, 2017. DOI: 10.1088/1755-1315/92/1/012039
Search in Google Scholar Back to article
Orringer, O. “How Residual Stresses can Affect Rail Performance”, In: Kalker, J.J., Cannon, D.F., Orringer, O. (eds) “Rail Quality and Maintenance for Modern Railway Operation”, Springer, Dordrecht, 1993. DOI: 10.1007/978-94-015-8151-6_20
Search in Google Scholar Back to article
Kanga, C., Wenner, M., Marx, S. “Experimental investigation on the rail residual stress distribution and its influence on the bending fatigue resistance of rails”, Construction and Building Materials 284, 122856, 2021.
Search in Google Scholar Back to article
Fedorko, G., Molnar, V., Marasova, D. et al. “Failure analysis of belt conveyor damage caused by the falling material. Part I: Experimental measurements and regression models”, Engineering failure analysis 36, pp. 30 – 38, 2014. DOI: 10.1016/j.engfailanal.2013.09.017.
Search in Google Scholar Back to article
Famfulík, J., Miková, J., Lanská, M., Richtář, M. “A stochastic model of the logistics actions required to ensure the availability of spare parts during maintenance of railway vehicles”, Proc. Inst. Mech. Eng. Part F 228, pp. 85 – 92, 2014. DOI: 10.1177/0954409712465695
Search in Google Scholar Back to article
Hrabovský, L. “Tension force equalizer in a rope system using a proximity sensor”, Sci. J. Sil. Univ. Technol. Ser. Transp. 110, pp. 35 – 44, 2021. DOI: 10.20858/sjsutst.2021.110.3 .
Search in Google Scholar Back to article
Šlesar, P., Jančo, R. “Strength and Dynamic Assessment of Cage and Bearing for Railway Carriage”, Strojnícky časopis – Journal of Mechanical Engineering 70 (1), pp. 127 – 134, 2020. DOI: 10.2478/scjme-2020-0012
Search in Google Scholar Back to article
Lecture 8: “Beam Theory in FEA- Euler-Bernoulli vs Timoshenko” - YouTube, https://www.youtube.com/watch?v=-K3sPfl6RP8
Search in Google Scholar Back to article
Wang, C. M., K. Y. Lam, and X. Q. He. “Exact solutions for Timoshenko beams on elastic foundations using green’s Functions*”, Journal of Structural Mechanics 26 (1), pp. 101 – 113, 1998. DOI: 10.1080/08905459808945422
Search in Google Scholar Back to article
Lolov, D., Lilkova-Markova, S. “Dynamic Stability Of An Inclined Fluid-Conveying Pipe With A One-Sided Elastic Support”, Strojnícky časopis – Journal of Mechanical Engineering 74 (1), pp. 57 – 62, 2024. DOI: 10.2478/scjme-2024-0006
Search in Google Scholar Back to article
Lolov, D., Lilkova-Markova, S. “The Model of Interconnected Pipes in the Investigation of Dynamic Stability of Carbon Nanotubes Embedded in an Elastic Medium”, Strojnícky časopis – Journal of Mechanical Engineering 73 (2), pp. 93 – 98, 2023. DOI: 10.2478/scjme-2023-0024
Search in Google Scholar Back to article

Way of Stress and Deformation Calculations in the Rails and Anchor Pins of Mining Rack-Railway Track

Abstract

Paradigm

My account