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FLUTTER OF AN ARBITRARY SHAPED PLATE WITH MIXED BOUNDARY CONDITIONS IN A PLANE

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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.

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Funding

The work was carried out on the topic of the state assignment of the IPMech RAS no. AAAA-A20-120011690132-4.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics RAS, 119526, Moscow, Russia

    S. D. Algazin

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  1. S. D. Algazin
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Correspondence to S. D. Algazin.

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Translated by M. K. Katuev

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Algazin, S.D. FLUTTER OF AN ARBITRARY SHAPED PLATE WITH MIXED BOUNDARY CONDITIONS IN A PLANE. Mech. Solids 57, 128–131 (2022). https://doi.org/10.3103/S0025654422010083

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  • DOI: https://doi.org/10.3103/S0025654422010083

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