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IssuesArchive of Issues2022-1pp.128-131

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Algazin S.D., "Flutter of an Arbitrary Shaped Plate with Mixed Boundary Conditions in a Plane," Mech. Solids. 57 (1), 128-131 (2022)
Year 2022 Volume 57 Number 1 Pages 128-131
DOI 10.3103/S0025654422010083
Title Flutter of an Arbitrary Shaped Plate with Mixed Boundary Conditions in a Plane
Author(s) Algazin S.D. (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, algazinsd@mail.ru)
Abstract The mathematical modeling method is used to study the flutter of an arbitrary shaped plate in a plane. For the numerical simulation of unstable vibrations of the plate, an effective numerical algorithm without saturation is proposed, which makes it possible to obtain an acceptable accuracy in the approximate solution on a sparse grid. As a standard, the critical flutter speed is sought on two grids 9×15 and 15×31; the criterion for the correctness of the calculation is the proximity of the obtained values; it is possible to set an arbitrary grid. Calculations are made for an elliptical aluminum plate for two thicknesses h=0.003 and h=0.005 at different directions of the flow velocity vector. The coincidence of calculations on the two grids is satisfactory.
Keywords numerical methods without saturation, plate flutter
Received 16 July 2020Revised 24 July 2020Accepted 13 August 2020
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