Oscillations of the inhomogeneous poroelastic layer

Authors

  • Vatulyan A.O. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Gusakov D.V. South Federal University, Rostov-on-Don, Российская Федерация

UDC

539.3

Abstract

In this paper we consider the question of constructing wave fields in the problem of steady oscillations of an inhomogeneous over thickness poroelastic layer under the influence of load on the top face. The solutions of this problem, in the general case of inhomogeneous characteristics, can be constructed only numerically. Due to this fact the process of solving the problem is divided into three steps. The first step is the Fourier transformation over the longitudinal coordinate. The second step is the shooting method for constructing the solution in the transformants. In this step much attention is paid to the problem of stiff differential equations systems. And the final step is the numerical inversion of the transformation. The results of calculations of the wave fields for various values of the wave number and various irregularities are presented in the end of the paper.

Keywords:

poroelasticity, inhomogeneity, oscillations

Acknowledgement

Работа выполнена при частичной поддержке Программы фундаментальных исследований по стратегическим направлениям развития науки Президиума РАН №1 "Фундаментальные проблемы математического моделирования" (114072870112) "Математическое моделирование неоднородных и многофазных структур".

Author Infos

Aleksandr O. Vatulyan

д-р физ.-мат. наук, зав. кафедрой теории упругости Южного федерального университета

e-mail: vatulyan@math.rsu.ru

Dmitriy V. Gusakov

аспирант кафедры теории упругости Южного федерального университета

e-mail: gusakov.dv@yandex.ru

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Issue

2014. No. 4

Pages

21-28

Submitted

2014-10-23

Published

2014-12-22

How to Cite

Vatulyan A.O., Gusakov D.V. Oscillations of the inhomogeneous poroelastic layer. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2014, no. 4, pp. 21-28. (In Russian)

Copyright (c) 2014 Vatulyan A.O., Gusakov D.V.

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