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Journal of Applied Mechanics and Technical Physics

2022 year, number 5

Plate Flutter Problem with Mixed Boundary Conditions

S. D. Algazin1, I. A. Selivanov2
1Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
2Lomonosov Moscow State University, Moscow, 119991, Russia
Keywords: numerical methods without saturation, plate flutter, flutter critical velocity, analytical dependence

Abstract

The paper considers the solution of the plate flutter problem with mixed boundary conditions. The mathematical formulation of the problem allows taking into account arbitrary directions of the incoming flow vector. For the numerical solution of the problem, a modern numerical algorithm without saturation is proposed, which allows obtaining the critical flutter speed with sufficient accuracy on a sparse grid. The results of calculations for four materials are presented: titanium, steel, aluminum, duralumin. Based on the calculation results, two analytical dependences for the critical flutter speed are obtained: from the direction of the incoming flow vector, as well as from the dimensionless speed of sound in the plate and the thickness of the plate. The eigenforms Re(φ) corresponding to the critical flutter speed are given.