Methodology for Obtaining the Core of the Base Model Based on the Results of Experimental Studies of the Interactions of Plates and Stamps with a Pliable Base

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Article, by way of discussion, provides a description of a technique to determine the core of foundation modelfor the subsequent generation of forces and deformations in the foundation plate on a pliable base by an analytical method. The technique described in the article can also be used to determine the contact model of the base that is closest to these soil conditions, as well as to check the soil conditions for identity from the point of view of soil models. Main goal of conducted research is to obtain relationship between displacements and contact soil stresses, which is an integral Fredholm equation of the 1st kind with the core of soil model described by B.G. Korenev.

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Sobre autores

S. Shulyat’ev

Research Institute of Bases and Underground Structures (NIIOSP) named after N.M. Gersevanov, Research Center of Construction JSC

Autor responsável pela correspondência
Email: shulyatevs@yandex.ru

Candidate of Sciences (Engineering), Leading Researcher

Rússia, 6-11, Zagorskiye Dali, Sergiyevo-Posadsky District, Moscow Region, 141367

Bibliografia

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  2. Kozunova O.V., Bosakov S.V. Development of the theory of nonlinear calculations of orthotropic plates on an arbitrary elastic base. I International Construction Congress. Science. Innovation. Purposes. Construction. Moscow. 2023, pp. 230–231. (In Russian).
  3. Korenev B.G., Chernigovskaya E.I. Raschet plit na uprugom osnovanii [Calculation of plates on an elastic base]. Moscow: Gosstroyizdat. 1962. 355 p.
  4. Leonov A.S., Luk’yanenko D.V., Yagola A.G. “Fast” algorithm for solving some three-dimensional inverse magnetometry problems. Matematicheskoe modelirovanie. 2024. Vol. 36. No. 1, pp. 41–58. (In Russian). https:// doi.org/10.20948/mm-2024-01-03
  5. Matvienko M.P., Dyba V.P., Yukhanaev S.M. Tray tests of reinforced concrete foundation models in the Novocherkassk Scientific School and calculation of their bearing capacity. Informatsionnye tekhnologii v obsledovanii ekspluatiruemykh zdanii i sooruzhenii. Novocherkassk: Lik. 2019, pp. 173–179. (In Russian).
  6. Ilyichev V.A., Mangushev R.A., Bogomolov A.N., Boldyrev G.G., Gotman A.L. Spravochnik geotekhnika, osnovaniya i fundamenty, podzemnye sooruzheniya [Handbook of geotechnics, foundations and foundations, underground structures]. Moscow: ASV. 2016. 1034 p.
  7. Travush V.I. Calculation of building structures on a deformable base. Doktor Diss. (Engeneering). Moscow. 1976. 354 p. (In Russian).
  8. Travush V.I., Shulyat’ev S.O. Determination of the core of the deformable base model based on experimental data. Osnovaniya, fundamenty i mekhanika gruntov. 2024. Vol. 2, pp. 9–14. (In Russian).
  9. Travush V.I., Shulyat’ev S.O., Baukov A.Yu. Tray research of slab-sand base interaction. Zhilishchnoe Stroitel’stvo [Housing Construction]. 2022. No. 9, pp. 3–11. (In Russian). https://doi.org/10.31659/0044-4472-2022-9-3-11
  10. Fedorovskii V.G., Bezvolev S.G. Forecast of sedimentation of shallow foundations and the choice of a base model for calculating slabs. Osnovaniya, fundamenty i mekhanika gruntov. 2000. No. 4, pp. 10–18. (In Russian).
  11. Tsytovich N.A. Mekhanika gruntov [Soil mechanics]. Moscow: Gosstroyizdat. 1963. 638 c.
  12. Shulyatyev S.O. Optimization of the foundation solution by conducting field experimental studies of the interaction of a plate with a pliable base. Stroitel’stvo i arkhitektura. 2022. Vol. 10. No. 3, pp. 6–19. (In Russian). https://doi.org/10.29039/2308-0191-2022-10-3-1-5
  13. Shulyatyev S.O. Comparison of the results of tray and field studies of the interaction of a plate with a pliable base. Soil mechanics in geotechnics and foundation engineering. Materials of the international scientific and technical conference. Novocherkassk. 2022, pp. 317–327. (In Russian).
  14. Shulyatyev S.O. Experimental studies of the operation of a sandy base loaded with a reinforced concrete slab. Solominskiye readings. Materials of the first international scientific conference. Chelyabinsk. 2022, pp. 152–156. (In Russian).
  15. Shulyatyev S.O. Description of contact stresses and stamp displacements using various approximating functions. Stroitel’naya mekhanika i raschet sooruzhenii. 2024. Vol. 6, pp. 3–10. (In Russian).
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2. Fig. 1. General view of the experimental structure tests

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3. Fig. 2. The layout of the characteristic points for changing the VAT parameters of the base and foundation for the experimental stamp (a) and the experimental plate (b); 1 – the experimental stamp (plate); 2 – displacement sensors; 3 – contact voltage sensors

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4. Fig. 3. The scheme for processing the results for the plate: 1 – experimental plate; 2 – ground base

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5. Fig. 4. Relative movements of the plate and the soil (Sp(cp) – the average movement of the plate) according to the results of testing the sandy soil with plates (blue dots) with an error estimate (black lines) and an approximating curve (red line)

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6. Fig. 5. Relative contact stresses (Pcr – average pressure) under the slab, according to the results of testing the sandy soil with slabs (blue dots) with an error estimate (black lines) and an approximating curve (red line)

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7. Fig. 6. The core of the base model during the test of the pilot plate calculated using the developed technique (black line) and numerically (blue line) (to improve visibility, the core is given for the one-dimensional case) (dimensionless coordinates)

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8. Fig. 7. The core of the base model when testing an experimental slab on an artificial sandy base, calculated using the developed technique (black line) and numerically (blue line) (to improve visibility, the core is given for the one-dimensional case) (dimensionless coordinates)

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9. Fig. 8. The cores of the clay base models for the first (blue) and second (black) test series, as well as the core of the two-parameter base model (gray line) (dimensionless coordinates)

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