Mathematical description and analysis of oscillatory processes of thin-walled structures when they are flown by a gas stream

The flutter of viscoelastic three-layer Elements of an Aircraft, flown around by a supersonic gas flow is studied in the article. Mathematical models of problems on the flutter of viscoelastic three-layer plates with a structure asymmetrical in thickness, flown around by a supersonic gas flow are developed. The flutter of viscoelastic three-layer plates is studied in linear formulations. The critical flutter velocities of elongated plates are compared with the results obtained in previously published studies, where the solutions were obtained in an elastic formulation. The flutter of viscoelastic three-layer plates with a rigid filler that resists transverse shear, flown from the outside by a supersonic flow, was studied. It is shown that an increase in the geometric parameter characterizing the flexural rigidity of the bearing layers of three-layer structures leads to an increase in the flutter velocity by 25–40%.