 | | 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
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.N. Kulikov, "Bifurcation of the self-excited oscillations of a plate with slight damping in a supersonic gas flow," J. Appl. Math. Mech. 73 (2), 196-203 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
2 |
Pages |
196-203 |
| Title |
Bifurcation of the self-excited oscillations of a plate with slight damping in a supersonic gas flow |
| Author(s) |
A.N. Kulikov (Yaroslavl, Russia, kulikov_d_a@mail.ru) |
| Abstract |
A non-linear boundary-value problem is considered which simulates the oscillations of a plate in a supersonic gas flow. The classical version of the formulation of the problem, proposed by Bolotin, as well as several of its modifications considered by Holmes and Marsden, are taken as a basis. The oscillations of the plate are studied assuming that the damping coefficient is small. This version of the formulation of the problem leads to the need to investigate the bifurcations of the self-excited oscillations in a non-linear boundary-value problem in a case which is close to the critical case of a double pair of pure imaginary values of the stability spectrum. The bifurcation problem is reduced to the investigation of a complex second order non-linear differential equation by the method of normal forms. All the stages in the investigation are carried out without using the Bubnov method. |
| Received |
19 July 2007 |
| Link to Fulltext |
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