Mathematical Modeling of the Rail Track Superstructure–Subgrade System

dc.contributor.authorKurhan, Dmytroen
dc.contributor.authorFischer, Szabolcsen
dc.contributor.authorKhmelevskyi, Vladyslaven
dc.date.accessioned2025-04-17T10:02:17Z
dc.date.available2025-04-17T10:02:17Z
dc.date.issued2025
dc.descriptionD. Kurhan: ORCID 0000-0002-9448-5269; S. Fischer: ORCID 0000-0001-7298-9960en
dc.description.abstractENG: The “rail track superstructure–subgrade” system is a sophisticated engineering structure critical in ensuring safe and efficient train operations. Its analysis and design rely on mathematical modeling to capture the interactions between system components and the effects of both static and dynamic loads. This paper offers a detailed review of contemporary modeling approaches, including discrete, continuous, and hybrid models. The research’s key contribution is a thorough comparison of five primary methodologies: (i) quasi-static analytical calculations, (ii) multibody dynamics (MBD) models, (iii and iv) static and dynamic finite element method (FEM) models, and (v) wave propagation-based models. Future research directions could focus on developing hybrid models that integrate MBD and FEM to enhance moving load predictions, leveraging machine learning for parameter calibration using experimental data, investigating the nonlinear and rheological behavior of ballast and subgrade in long-term deformation, and applying wave propagation techniques to model vibration transmission and evaluate its impact on infrastructure.en
dc.description.sponsorshipSzéchenyi István University, Győr, Hungaryen
dc.identifier.citationKurhan D., Fischer S., Khmelevskyi V. Mathematical Modeling of the Rail Track Superstructure–Subgrade System. Geotechnics. 2025. Vol. 5, Iss. 1. Art. 20. DOI: https://doi.org/10.3390/geotechnics5010020.en
dc.identifier.doihttps://doi.org/10.3390/geotechnics5010020en
dc.identifier.issn2673-7094
dc.identifier.urihttps://www.mdpi.com/2673-7094/5/1/20en
dc.identifier.urihttps://crust.ust.edu.ua/handle/123456789/20105en
dc.language.isoen
dc.publisherMDPI, Basel, Switzerlanden
dc.subjectrailwayen
dc.subjectrailway track superstructureen
dc.subjectsubgradeen
dc.subjectmathematical modelingen
dc.subjectКТІuk_UA
dc.subject.classificationTECHNOLOGYen
dc.subject.classificationMATHEMATICSen
dc.titleMathematical Modeling of the Rail Track Superstructure–Subgrade Systemen
dc.typeArticleen
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