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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 4, Pages 191–204
(Mi pmtf1516)
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This article is cited in 3 scientific papers (total in 3 papers)
Stability of a cantilevered skew inhomogeneous plate in supersonic gas flow
T. N. Isaulova, I. M. Lavit Tula State University, Tula, 300600, Russia
Abstract:
This paper considers the vibrations of a skew inhomogeneous plate in gas flow. The plate is clamped in a certain section of one of its sides. Interaction of the flow with the plate is described using piston theory. The problem solution is based on the Hamilton’s variational principle and finite element method. The calculation results are compared with known data of theoretical studies and experiments. For the inhomogeneous plate, similarity parameters were established for the problem, which, in practically important cases, appears to be self-similar for one of the similarity parameters. This allows one to reduce the solution of this problem to the solution of an algebraic eigenvalue problem.
Keywords:
aeroelasticity, supersonic flutter, swept wing, plate, vibrations.
Received: 14.03.2009 Accepted: 21.06.2010
Citation:
T. N. Isaulova, I. M. Lavit, “Stability of a cantilevered skew inhomogeneous plate in supersonic gas flow”, Prikl. Mekh. Tekh. Fiz., 52:4 (2011), 191–204; J. Appl. Mech. Tech. Phys., 52:4 (2011), 664–675
Linking options:
https://www.mathnet.ru/eng/pmtf1516 https://www.mathnet.ru/eng/pmtf/v52/i4/p191
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