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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 7, Pages 1266–1279 (Mi zvmmf9478)  
This article is cited in 3 scientific papers (total in 3 papers)

1 : 3 Resonance is a possible cause of nonlinear panel flutter

A. N. Kulikov

Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000 Russia
Full-text PDF (263 kB) Citations (3)
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Abstract: A nonlinear boundary value problem modeling oscillations of a plate in a supersonic gas flow is considered. Using the normal forms method, the method of integral manifolds for dynamical systems with infinite-dimensional phase space, and asymptotic methods combined with numerical techniques, it is shown that the 1 : 3 resonance of eigenfrequencies of the linearized boundary value problem can be a cause of subcritical bifurcations and hard excitation of oscillations.
Key words: nonlinear boundary value problem, stability, local bifurcations, quasi-normal form, model of a plate oscillation in a supersonic gas flow.
Received: 26.03.2010
Revised: 26.11.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 7, Pages 1181–1193
DOI: https://doi.org/10.1134/S0965542511070128
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: A. N. Kulikov, “1 : 3 Resonance is a possible cause of nonlinear panel flutter”, Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011), 1266–1279; Comput. Math. Math. Phys., 51:7 (2011), 1181–1193
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:77
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