The article presents a new approach to studying the stress-strain state (SSS) of metal plates based on the results of geodetic monitoring. A methodology has been proposed that enables the interpretation of geodetic marker displacement data under unknown external loads, which sets it apart from the classical finite element method (FEM). The modeling is based on a conditionally deformed mesh, in which relative deformations – both longitudinal and transverse – are assigned to individual grid cells. This approach, in which the lengths of the cell sides are proportional to the deformations in the given direction, makes it possible to work with tensor parameters that characterize the stress-strain state.
The proposed methodology was implemented in the Surfer software environment, which enabled the construction of corresponding deformation fields using established spatial interpolation methods. The results of a simulation experiment with a rectangular metal plate model demonstrated the accuracy and efficiency of the proposed approach: the calculated isolines of relative deformations closely matched analytical estimates. The proposed methodology makes it possible to use traditional grid models in analyzing the stress–strain state of metal plates in structural components of buildings, enhancing the informativeness of geodetic monitoring and its practical value in ensuring safe operation.
Chubin А. (2025). Development and implementation of systems for monitoring the technical condition of buildings and infrastructure facilities for timely detection of defects and forecasting their development. Municipal economy of cities. (Vol. 3, No. 191, pp. 305 -313). DOI: 10.33042/2522-1809-2025-3-191-305-313
Daliga, K., Kurałowicz Z. (2019). Comparison of Different Measurement Techniques as Methodology for Surveying and Monitoring Stainless Steel Chimneys. Geosciences. (Vol. 9, pp. 429-439). DOI: https://doi.org/10.3390/geosciences9100429
Kravets O. Ya. (2020) The Use of Geoinformation Technologies in the study of Landslide processes. Scientific Bulletin of UNFU (Vol. 30, No. 2, pp. 113–117). DOI: https://doi.org/10.36930/40300220.
Kryachok S., Belenok V., Gladilin V. (2023). Application of geodetic monitoring to control deformations of reconstructed structures. Technical sciences and technologies, (Vol. 3, No. 33, рр. 327–234). DOI: https://10.25140/2411-5363-2023-3(33)-227-234.
Trevoho I., Kukhtar D., Ilkiv E., Zhytar D., Lavrishko Ie. (2024). Monitoring the position of overhead crossings of main pipelines using total stations. International Conference of Young Professionals «GeoTerrace-2024», (Volume 2024, pp. 1 – 5). European Association of Geoscientists & Engineers. DOI: https://doi.org/10.3997/2214-4609.2024510095.
Ripetskyi E.Y., Ripetskyi R.Y., Nepelyak O.I. (2024). Analysis of Stress-strain State of the Metal Plate based on discrete Data of displacement Values. Physics and Chemistry of Solid State, (Vol. 25, No. 3, pp. 595–604). DOI: https://doi.org/10.15330/pcss.25.3.595-604.
Roknuzzaman M., Hossain M., Haque M.R., Ahmed T.U. (2015). Analysis of Rectangular Plate with Opening by Finite Difference Method. American Journal of Civil Engineering and Architecture, (Vol. 3, No. 5, pp. 165 - 173). DOI: https://doi.org/10.12691/ajcea-3-5-3.
Vasko M., Baniari V., Handrik M., Vasko A., Jakubovicova L., Kopas P. (2019). Comparison of FE analysis and experimentally obtained data for the identification of residual stresses in welded high-strength steel. XXIII Polish-Slovak Scientific Conference on Machine Modelling and Simulations «MMS 2018», (Vol. 254, pp. 9). DOI: https://doi.org/10.1051/matecconf/201925402026