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 asupersonic gas flow is studied in the article. Mathematical models of problems on the flutterof viscoelastic three-layer plates with a structure asymmetrical in thickness, flown aroundby a supersonic gas flow are developed. The flutter of viscoelastic three-layer plates isstudied in linear formulations. The critical flutter velocities of elongated plates are comparedwith the results obtained in previously published studies, where the solutions were obtainedin an elastic formulation. The flutter of viscoelastic three-layer plates with a rigid filler thatresists transverse shear, flown from the outside by a supersonic flow, was studied. It is shownthat an increase in the geometric parameter characterizing the flexural rigidity of the bearinglayers of three-layer structures leads to an increase in the flutter velocity by 25–40%.