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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 3, Pages 157–164 (Mi pmtf2161)  
Oscillations of an inhomogeneous elastic layer

A. O. Vatulyan, P. S. Satunovskii, M. A. Dvoskin

Rostov State University, Rostov-on-Don, 344090
Full-text PDF (243 kB)
Abstract: A method is proposed to analyze wave fields in an elastic layer with elastic properties varying arbitrarily with depth. The method is based on reducing the boundary-value problem to a system of Fredholm integral equations of the second kind, which is then analyzed numerically. Some features of the structure of dispersion sets are analyzed and, in particular, their asymptotes are constructed.
Keywords: elastic inhomogeneous layer, steady-state oscillations, wave dispersion.
Received: 04.08.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 3, Pages 439–445
DOI: https://doi.org/10.1007/s10808-006-0075-3
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. O. Vatulyan, P. S. Satunovskii, M. A. Dvoskin, “Oscillations of an inhomogeneous elastic layer”, Prikl. Mekh. Tekh. Fiz., 47:3 (2006), 157–164; J. Appl. Mech. Tech. Phys., 47:3 (2006), 439–445
Citation in format AMSBIB
\Bibitem{VatSatDvo06}
\by A.~O.~Vatulyan, P.~S.~Satunovskii, M.~A.~Dvoskin
\paper Oscillations of an inhomogeneous elastic layer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 3
\pages 157--164
\mathnet{http://mi.mathnet.ru/pmtf2161}
\elib{https://elibrary.ru/item.asp?id=16515894}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 3
\pages 439--445
\crossref{https://doi.org/10.1007/s10808-006-0075-3}
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