 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 79, Issue 6 / 2015 | Next article >> |
| S.A. Nazarov, "Asymptotics of the natural oscillations of a thin elastic gasket between absolutely rigid profiles," J. Appl. Math. Mech. 79 (6), 577-586 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
6 |
Pages |
577-586 |
| DOI |
10.1016/j.jappmathmech.2016.04.004 |
| Title |
Asymptotics of the natural oscillations of a thin elastic gasket between absolutely rigid profiles |
| Author(s) |
S.A. Nazarov (St Petersburg State University; St Petersburg State Polytechnical University; Institute for Problems in Mechanical Engineering of the Russian Academy of Science, St Petersburg, St Petersburg, Russia, s.nazarov@spbu.ru) |
| Abstract |
The asymptotics of the frequencies and modes of the natural oscillations of a thin elastic gasket between two absolutely rigid profiles are constructed. The localization and concentration of the stresses around the point of maximum thickness of the gasket are established and the character of its possible fracture is discussed. Spectral gaps, that is, stopping zones for waves, are observed in an infinite elastic periodic waveguide and the trapping of waves in the case of a local perturbation of its shape. |
| Received |
06 March 2015 |
| Link to Fulltext |
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