Dynamic characteristics of inhomogeneous half-space, excited by a surface or internal moving source of oscillations

Authors

  • Syromyatnikov P.V. Federal Research Center Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
  • Vasilchenko A.A. Kuban State University, Krasnodar, Russian Federation
  • Lapina O.N. Kuban State University, Krasnodar, Russian Federation
  • Nikitin Yu.G. Kuban State University, Krasnodar, Russian Federation

UDC

539.3

EDN

MITFPF

DOI:

10.31429/vestnik-15-4-54-66

Abstract

The oscillations of a single-layer half-space excited by an oscillating moving source of oscillations are studied numerically. Layer and half-space have contrasting mechanical properties. The problem is considered in a flat formulation, the behavior of the amplitude of the oscillations of the stamp is investigated either on the surface of the layer or on the half-space level depending on the frequency of oscillations and the speed of movement. Surface, internal, vertical and horizontal sources, two components of displacements are considered. The speed varies from zero to the speed of the fastest longitudinal wave, the frequency varies from zero to several tens of hertz. Homogeneous boundary value problems are solved using the integral Fourier transform, the algorithm for constructing the symbol of the block Green matrix, and the numerical method for calculating Fourier integrals. The calculations of eighteen amplitude-frequency characteristics and amplitude-speed characteristics of the oscillations of the stamp are presented. Analysis of the calculations showed that for the region of low frequencies and velocity values that are less than the velocity of the transverse wave for the upper layer, the most dramatic changes in characteristics occur. The maximum amplitudes correspond to zero frequency and the Rayleigh velocity in the layer, somewhat smaller amplitude values are associated with the Rayleigh velocity in the half-space. The amplitudes of vertical displacements caused by a vertical source have the largest range of variation. Their range exceeds by several decimal orders the corresponding ranges for horizontal displacements.

Keywords:

single-layer elastic half-space, mobile oscillating source, amplitude-frequency and amplitude-speed characteristic, numerical integration

Funding information

Работа выполнена в рамках реализации Госзадания ЮНЦ РАН на 2018 г. (проект 01201354241) при частичной поддержке гранта РФФИ и администрации Краснодарского края (проект 16-48-230336 р_а).

Authors info

  • Pavel V. Syromyatnikov

    д-р физ.-мат. наук, ведущий научный сотрудник лаборатории математики и механики краснодарского отделения Южного научного центра РАН; доцент кафедры математического моделирования Кубанского государственного университета

  • Aleksandr A. Vasilchenko

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

  • Olga N. Lapina

    канд. физ.-мат. наук, доцент кафедры вычислительных технологий Кубанского государственного университета

  • Yuri G. Nikitin

    канд. физ.-мат. наук, доцент кафедры теоретической физики и компьютерных технологий Кубанского государственного университета

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Issue

Vol. 15 (2018) No. 4

Pages

54-66

Section

Mechanics

Dates

Submitted

November 26, 2018

Accepted

November 30, 2018

Published

December 21, 2018

How to Cite

[1]
Syromyatnikov, P.V., Vasilchenko, A.A., Lapina, O.N., Nikitin, Y.G., Dynamic characteristics of inhomogeneous half-space, excited by a surface or internal moving source of oscillations. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, т. 15, № 4, pp. 54–66. DOI: 10.31429/vestnik-15-4-54-66

License

Copyright (c) 2018 Сыромятников П.В., Васильченко А.А., Лапина О.Н., Никитин Ю.Г.

Creative Commons License

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

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