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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 286–298
(Mi znsl274)
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This article is cited in 5 scientific papers (total in 5 papers)
Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a Kirchhoff–Love plate
K. D. Cherednichenkoab a Saint-Petersburg State University
b University of Cambridge
Abstract:
A high-frequency asymptotic expansion of boundary-layer type is constructed for
flexural waves localised in the vicinity of the free edge of a Kirchhoff–Love
elastic plate. Unlike in the previous works on the subject, the boundary of the
plate does not have to be rectilinear. Expressions for the leading-order terms
of the expansion are obtained, which are then implemented in the problem of the
description of eigenmodes of an arbitrary bounded plate with smooth boundary.
Received: 01.06.2006
Citation:
K. D. Cherednichenko, “Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a Kirchhoff–Love plate”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 286–298; J. Math. Sci. (N. Y.), 142:6 (2007), 2682–2688
Linking options:
https://www.mathnet.ru/eng/znsl274 https://www.mathnet.ru/eng/znsl/v332/p286
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Abstract page: | 230 | Full-text PDF : | 87 | References: | 31 |
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