CALCULATION OF STRUCTURES LYING ON AN ANISOTROPIC BASIS

*DYUSSEMBAYEV I.N.

Caspian University of Technology

and Engineering named after S.Yessenov

Aktau, Kazakhstan

E-mail: izim.dyussembayev@yu.edu.kz

NIGMETOV M.Z.

Caspian University of Technology

and Engineering named after S.Yessenov

Aktau, Kazakhstan

E-mail: mermurat.nigmetov@yu.edu.kz

ZHAILHAN N.A.

Caspian University of Technology

and Engineering named after S.Yessenov

Aktau, Kazakhstan

E-mail: nuradin.zhailkhan@yu.edu.kz

Автор корреспондент: izim.dyussembayev@yu.edu.kz

nbsp;

Abstract. The definition of the nucleus and the influence function of a transversally isotropic half-space is considered.  Expressions of displacement and internal forces in an infinite base plate are obtained, taking into account their deepening into the rock mass, as well as the effect of the anisotropy of the base on the distribution of deflections and internal forces. The results obtained serve as a reference for the reconciliation of the results obtained by numerical and computer methods. This calculation algorithm allows us to estimate the bearing capacity of an anisotropic soil base.

Keywords: foundation, soil base, anisotropic, displacement, base plate.

REFERENCES

 

[1]. Korenev B.G. Structures lying on an elastic base // Construction mechanics in the USSR 1917-1967. – Moscow: Stroyizdat, 1969. – pp. 112-124.

[2]. Gorbunov-Posadov M.I. Nodal issues of calculation of foundations and structures based on them in the light of the current state of soil mechanics // Foundations, foundations and soil mechanics. -1982. -No.4. – pp. 25-27.

[3]. Winkler E. Die Lerne von der Elasticitat und Festigkeit. – Praha: 1867. - 338 s.

[4]. Proctor G.E. On the bending of beams lying on a solid elastic base without the Winkler-Zimmerman hypothesis // Thesis / Petrograd Technological Institute, 1922. - 22 p.

[5]. Wieghardt K. Über den Balken auf nachgiebiger Unterlage // Zeitschrift für Angew. Math. und Mech. -1922. –Bd.2. –H.3. –S.165-184.

[6]. Gersevanov N.M. On the application of the theory of elasticity to the calculation of bases // Trudy MIIT. – 1926. – vol. 6. pp. 19-29.

[7]. Gilman L.S. On the question of determining stresses on the surface of an elastic medium // Proceedings of LIIPS. – 1934. – issue 1. pp. 61-72.

[8]. Zhemochkin B.N., Sinitsyn A.P. Practical methods of calculation of foundation beams and plates on an elastic base. – M.: Gosstroizdat, 1962. – 2-nd ed. – 239 p.

[9]. Gorbunov-Posadov M.I., Malikova T.A., Solomin V.I. Calculation of structures on an elastic base. – M.: Stroyizdat, 1984. – 678 p.

[10]. Kuznetsov V.I. Elastic bases. – M.: Gosstroizdat, 1952.-296 p.

[11]. Попов Г.Я. Изгиб полубесконечной плиты на упругом полупространстве // Научные доклады высшей школы // Строительство. –М.1958. -№4. –С. 19-25.

[12]. Florin V.A. Fundamentals of soil mechanics. – L.-M.: Gosstroizdat, 1959. – 357 p.

[13]. Zeitlin A.I. Integral transformations related to the biharmonic problem on a half-plane and a half-space, their application to problems of elasticity theory // Izvestia OTN // Mechanics and mechanical engineering. – M. 1965. - No. 1. – Pp.131-139.

[14]. Shtaerman I.Ya. Contact problem of elasticity theory. – M.-L.: Gostekhizdat, 1949. – 270 p.

[15]. Dyussembayev I.N. Interaction of structures with an anisotropic ground base. – Almaty, 2019. – 170 pp.

[16]. Boussinesq J. Application eles Potentiels a l’Etude l’Equilibre et du Mouvement des Solides Elastiques / Gauthier – Villars, Paris. – 1885. – 721.

[17]. Shehter O.Ya. On the influence of the soil layer power on the stress distribution in the Foundation beam and plate. – M. The works of INE deep trust works, 1944. – 17.

[18]. Travush V.I. Bending of non-insulated plates lying on the linearly deformable base of the General type // Research on the theory of structures-M.: Stroyizdat, 1969. - Vol. XVII. - 73-84.

19]. Dyussembayev I. N. Investigation of stress-strain state of non-insulated plates on a linearly deformable base   / / Scientific and technical journal #8220;Construction mechanics and calculation of structures#8221;. - Moscow, №2. - 1990.

[20]. Zaletov V. V., Kopilova N. With. The patterns of distribution of displacements in an isotropic half-space lying on an elastic Foundation under the action of concentrated forces // Proceedings of IPMI of NAS of Ukraine. - Donetsk, 2010. - Volume 20. – 65 -140.

УДК 624.131. 52/53: 624.15

DOI 10.56525/UISE6718