Locomotive bogie frames take a long-term structural beating and catching deformation early matters for safety. Here we build a mathematical model and algorithm for the durability of VL80s electric locomotive bogie components, grounded in instrumented, non-destructive wheelset testing, and then ask a more specific question: can a neural network do useful diagnostic work on top of that deterministic model? The network we settle on draws in several classes of measurement data tied to the frame's load-bearing capacity. Each input gets weighted against the others, the weighted signals are summed, and an activation function carries out the final transformation - this is what sets the limits of what the network can actually learn. Tested against a modernized bogie frame reinforced with steel plates, the approach predicts load-bearing capacity reliably and holds up across a range of related engineering calculations. Of the architectures we tried, a single-layer perceptron worked best for the graphical diagnostics side.
Keywords
Electric Traction Rolling StockElectric Locomotive Bogie FramesStress-Strain StateDiagnosticsReliabilityDurabilityReliability Assessment MethodologyAI in the Form of Neural Network ModelingAlgorithmNeural Networks with a Single-Layer Perceptron Architecture
References
S. Timoshenko, Strength of Materials: Part II - Advanced Theory and Problems. St. Petersburg, Russia: Lan Publ., 2002.
M. Spiryagin, C. Cole, Y. Sun, et al., Design and Simulation of Rail Vehicles, Ground Vehicle Engineering Series. Boca Raton, FL, USA: CRC Press, 2014.
B. J. Wang, Q. Li, Z. S. Ren, and S. G. Sun, “Improving the fatigue reliability of metro vehicle bogie frame based on load spectrum,” International Journal of Fatigue, vol. 132, Art. no. 105389, 2020, [Online]. Available: https://doi.org/10.1016/j.ijfatigue.2019.105389.
I. P. Kiselev, High-Speed Rail Transport. General Course, vol. 2. Moscow, Russia: Educational Methodological Center for Railway Transport, 2014.
E. Oganyan and G. Volokhov, Calculations and Strength Tests of Locomotive Structures. Moscow, Russia: Educational Methodological Center for Railway Transport, 2013.
I. S. Biryukov and A. N. Savoskin, Eds., Mechanical Part of Rolling Stock. Moscow, Russia: Transport, 1992.
A. N. Savoskin, G. P. Burchak, and A. P. Matveevichev, Strength and Reliability of Railway Rolling Stock. Moscow, Russia: Mashinostroenie, 1990.
A. V. Gorsky and A. A. Vorobiev, Reliability of Electric Rolling Stock. Moscow, Russia: Route, 2005.
M. Sobáś, T. Antkowiak, R. Grzechowiak, and R. Miklasz, “Development trends in the construction of gear running systems of rail vehicles (Part 1),” Rail Vehicles/Pojazdy Szynowe, no. 3, pp. 33-51, 2017, [Online]. Available: https://doi.org/10.53502/RAIL-138448.
V. Telichenko, V. Rimshin, V. Eremeev, and V. Kurbatov, “Mathematical modeling of groundwater pressure distribution in underground cylindrical structures,” MATEC Web of Conferences, vol. 196, Art. no. 02025, 2018, [Online]. Available: https://doi.org/10.1051/matecconf/201819602025.
B. J. Wang, S. Q. Xie, Q. Li, and Z. S. Ren, “Fatigue damage prediction of metro bogie frame based on measured loads,” International Journal of Fatigue, vol. 154, Art. no. 106532, 2022, [Online]. Available: https://doi.org/10.1016/j.ijfatigue.2021.106532.
H. Zhao, P. Li, and M. Fu, “Fatigue strength analysis of bogie frames under random loads,” Advances in Mechanical Engineering, vol. 11, no. 9, 2019, [Online]. Available: https://doi.org/10.1177/1687814019878018.
J. Li, Z. Ren, Y. Wu, and R. An, “Fatigue damage assessment of high-speed train bogie frame load spectra based on phase reconstruction,” Engineering Failure Analysis, vol. 159, Art. no. 108008, 2024, [Online]. Available: https://doi.org/10.1016/j.engfailanal.2024.108008.
Y. Lu, H. Zheng, J. Zeng, T. Chen, and P. Wu, “Fatigue life reliability evaluation in a high-speed train bogie frame using accelerated life and numerical test,” Reliability Engineering & System Safety, vol. 188, pp. 221-232, 2019, [Online]. Available: https://doi.org/10.1016/j.ress.2019.03.033.
T. Gazdulski, J. Lewiński, and M. Far, “Possibility of optimizing the chassis of modern passenger wagons in relation to weight reduction,” Rail Vehicles/Pojazdy Szynowe, no. 4, pp. 27-34, 2018, [Online]. Available: https://doi.org/10.53502/RAIL-138522.
P. Kessler, “Development of Automated Comparison Routines Between Calculation and Test Bench Results of Bogie Frames According to EN 13749,” Diploma thesis, Technische Universität Wien, Vienna, Austria, 2021, [Online]. Available: https://doi.org/10.34726/hss.2021.80505.
S. Abdurasulov, N. Zayniddinov, O. Khamidov, A. Yusufov, and S. Jamilov, “Stress-strain state analysis of cross beam of main frame of industrial electric locomotives PE2M and PE2U,” AIP Conference Proceedings, vol. 3256, no. 1, Art. no. 060011, 2025, [Online]. Available: https://doi.org/10.1063/5.0266927.
S. Jamilov, A. Yusufov, O. Khamidov, O. Kasimov, and M. Vokhidov, “Mathematical modelling of heat exchange process of locomotive traction electric motors,” AIP Conference Proceedings, vol. 3256, no. 1, Art. no. 060012, 2025.
O. Khamidov, N. Zayniddinov, S. Kudratov, and B. Erkinov, “Analysis of malfunctions occurring in locomotive thermal power plant crankshafts during operation,” E3S Web of Conferences, vol. 538, Art. no. 01027, 2024, [Online]. Available: https://doi.org/10.1051/e3sconf/202453801027.
S. Kudratov, A. Yusufov, O. Khamidov, and S. Samatov, “Diesel locomotives: fault analysis and problem solving,” AIP Conference Proceedings, vol. 3256, no. 1, Art. no. 060013, 2025, [Online]. Available: https://doi.org/10.1063/5.0266930.
S. G. Tatarintseva, T. P. Satsuk, D. V. Udalova, and O. R. Khamidov, “Risk management and financial stability of transport companies,” AIP Conference Proceedings, vol. 2624, no. 1, Art. no. 040056, 2023, [Online]. Available: https://doi.org/10.1063/5.0150187.
O. Khamidov, A. Yusufov, S. Jamilov, and S. Kudratov, “Remaining life of main frame and extension of service life of shunting locomotives on railways of the Republic of Uzbekistan,” E3S Web of Conferences, vol. 365, Art. no. 05008, Jan. 2023, [Online]. Available: https://doi.org/10.1051/e3sconf/202336505008.
A. Yusufov, O. Khamidov, N. Zayniddinov, and S. Abdurasulov, “Prediction of the stress-strain state of the bogie frames of shunting locomotives using the finite element method,” E3S Web of Conferences, vol. 401, Art. no. 03041, Jul. 2023, [Online]. Available: https://doi.org/10.1051/e3sconf/202340103041.
A. Mamatov, X. Sotvoldiyev, M. Talipov, S. Shaumarov, K. Gafarbayli, and D. Bekmirzaev, “Metrological calibration and uncertainty evaluation of MEMS accelerometers for structural health monitoring in seismic regions,” Vibroengineering Procedia, vol. 62, pp. 140-144, Jun. 2026, [Online]. Available: https://doi.org/10.21595/vp.2026.26360.
G. Khromova and D. Rajibaev, “Mathematical model and algorithm for calculating the durability indicators of electric locomotive bogie elements,” International Journal of Advanced Research in Science, Engineering and Technology (IJARSET), vol. 9, no. 10, pp. 19901-19907, Oct. 2022.
G. Khromova, M. Makhamadalieva, and Kh. Choriev, “Assessment of the reliability indices of the equipment of the traction electric rolling stock based on the results of diagnostics,” International Journal of Advanced Research in Science, Engineering and Technology (IJARSET), vol. 9, no. 10, pp. 19857-19863, Oct. 2022.