To the study of the stress-strain state of an elastic foundation in the presence of vertical and horizontal injectors

Authors

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-21-2-70-79

Abstract

Various types of injectors are used in the creation of seismic and vibration damping systems, as well as when strengthening the soil with the help of geotechnical barriers. The disadvantages of using injector systems for one purpose or another include the lack of a complete theory for calculating their parameters, which would make it possible to justify the optimal geometry choice and provide an assessment for the influence of injectors in the ground on the wave pattern as a whole. The study is aimed at modeling the response of an elastic foundation to vibration loading of a surface object in the presence of various types of buried emitters. In this work, we considered a method for calculating the parameters of the stress-strain state of an elastic foundation in the presence of vertical and horizontal reinforcing elements in it. For a series of calculated dispersion parameters of the elastic foundation, we constructed the amplitude-frequency characteristics for the vertical component of the Rayleigh wave in the mid-frequency range. The fictitious absorption method was used to solve the integral equations of the considered mixed contact problems. Which allowed us to calculate the distribution of contact stresses under the stamp and asses the influence of internal loads in the foundation. The models presented in the work can be used to calculate wave fields in soil foundations in the presence of vertical and horizontal injectors. The characteristics of which are crucial for the development of seismic and vibration damping systems as well as structural solutions for strengthening soil, etc.

Keywords:

elastic foundation, steady oscillations, surface load, vertical reinforcing elements, horizontal inclusion, fictitious absorption method

Acknowledgement

Parts of the work were carried out within the framework of the State Assignment of the Southern Scientific Center of the Russian Academy of Sciences (00-24-13 No. 122020100341-01).

Author Infos

Ilya S. Telyatnikov

канд. физ.-мат. наук, старший научный сотрудник лаборатории математики и механики Южного научного центра РАН

e-mail: ilux_t@list.ru

Mikhail S. Kapustin

канд. физ.-мат. наук, сотрудник Кубанского государственного университета

e-mail: kmm@fpm.kubsu.ru

Alla V. Pavlova

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

e-mail: pavlova@math.kubsu.ru

Sergeiy E. Rubtsov

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

e-mail: rub_serg@mail.ru

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Issue

2024. Vol. 21. No. 2

Section

Mechanics

Pages

70-79

Submitted

2024-05-21

Published

2024-06-28

How to Cite

Telyatnikov I.S., Kapustin M.S., Pavlova A.V., Rubtsov S.E. To the study of the stress-strain state of an elastic foundation in the presence of vertical and horizontal injectors. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2024, vol. 21, no. 2, pp. 70-79. DOI: https://doi.org/10.31429/vestnik-21-2-70-79 (In Russian)

Copyright (c) 2024 Telyatnikov I.S., Kapustin M.S., Pavlova A.V., Rubtsov S.E.

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