To the modelling of the interaction of foundation with deformable soil medium

Authors

  • Kapustin M.S. Kuban State University, Krasnodar, Russian Federation
  • Pavlova A.V. Kuban State University, Krasnodar, Russian Federation
  • Rubtsov S.E. Kuban State University, Krasnodar, Russian Federation
  • Telyatnikov I.S. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Russian Federation

UDC

539.3

EDN

UMGWHR

Abstract

Interest in the problems of mechanics of contact interaction of rigid and elastic bodies determined by their wide applications in construction, seismology and other industries. Features of the pressure transmission in the contact zone are data of decisive importance when evaluating the risk of fracture of communication and foundation structures and their elements. In this article we've considered the problem of vibration of a stamp on the surface of the elastic layer containing a system of vertical rigid inclusions as a model of system base - foundation. The problem has been reduced to integral equations solvable by the method of fictitious absorption. We have obtained the characteristics of the stress-strain state of elastic foundation and analyzed stresses in the contact area of the stamp and base. The approach presented in this paper allows us to study the effects of vibration loads on the foundations of various types, including - pile foundations modeled by system of rigid vertical inclusions, when the fields of stresses and displacements generated by anchor pillars, by interacting with the main field in the elastic foundation, can either strengthen it or weaken.

Keywords:

elastic layer, vertical rigid inclusions, surface load, steady-state oscillations, method of fictitious absorption

Funding information

Работа выполнена при поддержке гранта РФФИ и администрации Краснодарского края р_юг_а 13-01-95503.

Authors info

  • Mikhail S. Kapustin

    канд. физ.-мат. наук, доцент кафедры математического моделирования Кубанского государственного университета

  • Alla V. Pavlova

    д-р физ.-мат. наук, профессор кафедры математического моделирования Кубанского государственного университета

  • Sergey E. Rubtsov

    канд. физ.-мат. наук, доцент кафедры математического моделирования Кубанского государственного университета

  • Ilya S. Telyatnikov

    канд. физ.-мат. наук, младший научный сотрудник Южного научного центра РАН

References

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Issue

Vol.  (2015) No. 3

Pages

44-51

Section

Article

Dates

Submitted

September 7, 2015

Accepted

September 13, 2015

Published

September 30, 2015

How to Cite

[1]
Kapustin, M.S., Pavlova, A.V., Rubtsov, S.E., Telyatnikov, I.S., To the modelling of the interaction of foundation with deformable soil medium. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2015, № 3, pp. 44–51.

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Copyright (c) 2015 Капустин М.С., Павлова А.В., Рубцов С.Е., Телятников И.С.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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