About the authors
| First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | Nadezhda S. Nikiforova, Doctor of Technical Sciences, Professor, Moscow State University of Civil Engineering, Moscow, Russian Federation Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it , ORCID: 0000-0002-0611-4354 Daniil D. Pirogov, Postgraduate Student, Moscow State University of Civil Engineering, Moscow, Russian Federation Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Dmitry E. Razvodovsky, Candidate of Technical Sciences, JSC “Scientific Research Center Construction” – Scientific Research, Design, Surveying and Technological Institute of Foundations and Underground Structures named after N. M. Gersevanov, Moscow, Russian Federation Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it , ORCID: 0009-0002-3732-1070 |
| Title of the article | Spline interpolation method for analyzing building foundation settlement |
| Abstract. | Problem statement. In the practice of building reconstruction involving underground construction, controlling foundation deformations is of critical importance. Traditional criteria based solely on settlement values and their relative unevenness are often insufficient for accurate risk assessment. The objective of the work is to develop and validate a method for the quantitative assessment of foundation deformations using additional parameters, such as curvature and the difference in tilt angles at the base of the foundation. The research tasks are: 1. To analyze the permissible deformation limits for reconstructed buildings according to various regulatory documents; 2. To develop algorithms for calculating the derivatives of settlement using cubic spline interpolation for an existing reconstruction project, and to analyze the spatial distribution of deformations; 3. To compare the calculated foundation deformations with regulatory limits and with recorded instances of structural defects. Results. The proposed method was implemented in the settlement analysis of the Middle Trading Rows building in Moscow. The resulting diagrams of settlement, inclination angles, and curvature of the foundation base made it possible to identify zones of maximum ground deformation between geodetic benchmarks that were previously unrecognizable using traditional methods. Conclusions. The use of curvature and differential tilt angle as additional evaluation criteria significantly improves the accuracy of assessing foundation conditions in reconstructed buildings. The method can be integrated into geotechnical monitoring systems for urban reconstruction projects. |
| Keywords. | settlement, reconstruction, curvature, differential tilt angle of the foundation base, spline interpolation, deep excavation, geotechnical monitoring |
| For citations: | Nikiforova N.S., Pirogov D.D., Razvodovsky D.E. Spline Interpolation Method for Analyzing Building Foundation Settlement // News of KSUAE, 2025, № 3 (73), p. 20-29, DOI: 10.48612/NewsKSUAE/73.2, EDN: BWDEWS |
