DOI: 10.24412/2519-2418-2026-1048-67-78
EDN: NATTFB
Received: 28.05.2026
Published: 04.06.2026
Original language: ru
Full text of the article | JATS XML
Bogdanov Valeriy Pavlovich,, Antratsyt Institute of Geosystems and Technologies (branch) of V. Dahl Luhansk State University, Senior Lecturer Department of Economics and Transport, email: valerij448@mail.ru
Abstract
A comprehensive methodology has been developed for computer modelling of deformation processes in the soil foundations of transport structures based on the finite element method in MIDAS GTS NX. A formalised algorithm is proposed for selecting the constitutive soil model according to the type of loading: Mohr-Coulomb – for statics, Hardening Soil – for dynamics, HSsmall – for multi-cycle loading, and Soft Soil – for saturated soils. A procedure has been developed for calibrating the Rayleigh damping coefficients α and β based on the characteristic frequencies of the transport load spectrum. Verification using a test problem involving the motion of a Thalys HST train (v =314 km/h) showed an error of Δ ≤ 8 %, which satisfies the accepted criterion of Δ≤10 %. The methodology forms a single closed sequence from problem formulation to assessment of the reliability of the result.
Keywords: geomechanics, finite element method, MIDAS GTS NX, dynamic loads, constitutive soil models, Rayleigh damping, moving load, verification, transport engineering
REFERENCES
- Должиков, П. Н. О динамических напряжениях в песчано-глинистых основаниях транспортных сооружений / П. Н. Должиков, В. В. Збицкая, В. П. Богданов // Труды РАНИМИ: сб. науч. тр. – Донецк, 2025. – № 8 (46). – C. 172-182.
- MIDAS IT. MIDAS GTS NX: User Manual. – Seoul: MIDAS Information Technology Co., Ltd., 2023.
- Тер-Мартиросян, А. З. Определение и верификация параметров модели слабого грунта с учетом ползучести / А. З. Тер-Мартиросян, В. В. Сидоров, Л. Ю. Ермошина // Вестник МГСУ. – 2018. – № 6 (117). – Т. 13. – C. 697-708.
- Brinkgreve R. B. J., Engin E. Validation of geotechnical finite element analysis. Proceedings of the 18th International Conference on soil mechanics and geotechnical engineering. Paris. 2013, pp. 677-682.
- Hardin B. O., Drnevich V. P. Shear modulus and damping in soils: design equations and curves. Journal of soil mechanics & foundations division. 1972, vol. 98. no. 7, pp. 667-692.
- Sayeed Md. A., Shahin M. A. Modelling of ballasted railway track under train moving loads. Proc. 12th Australia New Zealand Conf. on geomechanics. 2015, pp. 1-8.
- Hall L. Simulations and analyses of train-induced ground vibrations in finite element models. Soil dynamics and earthquake engineering. 2003, vol. 23, no. 5, pp. 403-413.
- Прокудин, И. В. Прочность и деформативность железнодорожного земляного полотна из глинистых грунтов, воспринимающих вибродинамическую нагрузку / И. В. Прокудин. – Л.: ЛИИЖТ, 1982. – 458 c.
- Degrande G., Schillemans L. Free field vibrations during the passage of a Thalys high-speed train at variable speed. Journal of sound and vibration. 2001, vol. 247, no. 1, pp. 131-144.
- Парамонов, В. Н. Метод конечных элементов при решении нелинейных задач геотехники / В. Н. Парамонов. – СПб.: Группа компаний «Геореконструкция», 2012. – 264 с.
- Potts D. M., Zdravkovic L. Finite element analysis in geotechnical engineering: theory. London: Thomas Telford. 1999, 440 p.
- Kuhlemeyer R. L., Lysmer J. Finite element method accuracy for wave propagation problems. Journal of the soil mechanics and foundations division. 1973, vol. 99, no. 5, pp. 421-427.
- Lysmer J., Kuhlemeyer R. L. Finite dynamic model for infinite media//Journal of the engineering mechanics division. 1969, vol. 95, no. 4, pp. 859-877.
- Повколас, К. Э. Методика расчета дополнительных динамических осадок оснований плитных фундаментов зданий и сооружений от вибраций, распространяющихся в грунтовой среде / К. Э. Повколас // Наука и техника. – 2024. – № 1. – Т. 23. –C. 46-57.