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Model. Anal. Inform. Sist., 2011, Volume 18, Number 1, Pages 56–67 (Mi mais164)  

Resonances in the problem of the panel flutter in a supersonic gas flow

A. N. Kulikov, G. V. Pilipenko

P. G. Demidov Yaroslavl State University

Abstract: The paper deals with a linear formulation of the problem of plane vibrations in a supersonic gas flow. Fluctuations of the plane are studied in the case when one of its ends is rigidly fixed, while the second is free. The flow rate is found for which internal resonance eigenfrequencies 1:1, 1:2, 1:3 are implemented. The determination of the speed and the corresponding frequency is reduced to the system of two transcendental equations. The system is numerically studied.

Keywords: internal resonance; boundary value problem; differential operator; lower flutter speed

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UDC: 517.51+514.17
Received: 14.01.2010

Citation: A. N. Kulikov, G. V. Pilipenko, “Resonances in the problem of the panel flutter in a supersonic gas flow”, Model. Anal. Inform. Sist., 18:1 (2011), 56–67

Citation in format AMSBIB
\Bibitem{KulPil11}
\by A.~N.~Kulikov, G.~V.~Pilipenko
\paper Resonances in the problem of the panel flutter in a~supersonic gas flow
\jour Model. Anal. Inform. Sist.
\yr 2011
\vol 18
\issue 1
\pages 56--67
\mathnet{http://mi.mathnet.ru/mais164}


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