Journal Journal of Mechanical Engineering – Problemy Mashynobuduvannia
Publisher A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
ISSN 0131-2928 (Print), 2411-0779 (Online)
Issue Vol. 20, no. 4, 2017 (December)
Pages 37-44
Cited by J. of Mech. Eng., 2017, vol. 20, no. 4, pp. 37-44



Yu. D. Kovalev, Sumy State University (2, Rymskogo-Korsakova St., Sumy, 40007, Ukraine)

Ye. A. Strelnikova, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharsky St., Kharkiv, 61046, Ukraine), e-mail:, ORCID: 0000-0003-0707-7214

D. V. Kushnir, Sumy State University (2, Rymskogo-Korsakova St., Sumy, 40007, Ukraine), e-mail:

Yu. V. Shramko, Sumy State University (2, Rymskogo-Korsakova St., Sumy, 40007, Ukraine)


This paper solves the problem of harmonic elastic oscillations of a layer with two through holes on whose surface a normal pulsating pressure acts. The boundary value problem is reduced to a system of integral equations, which is solved numerically. Examples are given, where the peculiarities of the distribution of circumferential voltage in frequency are investigated depending on the distance between the holes and Poisson’s ratio.


Keywords: harmonic oscillations, layer with two holes, integral equations



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Received 09 November 2017

Published 30 December 2017