Mathematical Modeling of the Rail Track Superstructure–Subgrade System
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 lo...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-03-01
|
| Series: | Geotechnics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2673-7094/5/1/20 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849341623410884608 |
|---|---|
| author | Dmytro Kurhan Szabolcs Fischer Vladyslav Khmelevskyi |
| author_facet | Dmytro Kurhan Szabolcs Fischer Vladyslav Khmelevskyi |
| author_sort | Dmytro Kurhan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8291fd3bb8d84aefbb1963788d0cc609 |
| institution | Kabale University |
| issn | 2673-7094 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Geotechnics |
| spelling | doaj-art-8291fd3bb8d84aefbb1963788d0cc6092025-08-20T03:43:36ZengMDPI AGGeotechnics2673-70942025-03-01512010.3390/geotechnics5010020Mathematical Modeling of the Rail Track Superstructure–Subgrade SystemDmytro Kurhan0Szabolcs Fischer1Vladyslav Khmelevskyi2Department of Transport Infrastructure, Ukrainian State University of Science and Technologies, UA-49010 Dnipro, UkraineCentral Campus Győr, Széchenyi István University, H-9026 Győr, HungaryDepartment of Transport Infrastructure, Ukrainian State University of Science and Technologies, UA-49010 Dnipro, UkraineThe “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.https://www.mdpi.com/2673-7094/5/1/20railwayrailway track superstructuresubgrademathematical modeling |
| spellingShingle | Dmytro Kurhan Szabolcs Fischer Vladyslav Khmelevskyi Mathematical Modeling of the Rail Track Superstructure–Subgrade System Geotechnics railway railway track superstructure subgrade mathematical modeling |
| title | Mathematical Modeling of the Rail Track Superstructure–Subgrade System |
| title_full | Mathematical Modeling of the Rail Track Superstructure–Subgrade System |
| title_fullStr | Mathematical Modeling of the Rail Track Superstructure–Subgrade System |
| title_full_unstemmed | Mathematical Modeling of the Rail Track Superstructure–Subgrade System |
| title_short | Mathematical Modeling of the Rail Track Superstructure–Subgrade System |
| title_sort | mathematical modeling of the rail track superstructure subgrade system |
| topic | railway railway track superstructure subgrade mathematical modeling |
| url | https://www.mdpi.com/2673-7094/5/1/20 |
| work_keys_str_mv | AT dmytrokurhan mathematicalmodelingoftherailtracksuperstructuresubgradesystem AT szabolcsfischer mathematicalmodelingoftherailtracksuperstructuresubgradesystem AT vladyslavkhmelevskyi mathematicalmodelingoftherailtracksuperstructuresubgradesystem |