A study on dynamic characteristics of the flutter for three-layer plates and shells flown around by a gas flow

Abstract

The nonlinear flutter of viscoelastic three-layer plates and shallow shells with a structure asymmetrical in thickness, flown around by a supersonic gas flow is studied in this paper. Mathematical models of problems on the flutter of viscoelastic three-layer plates, cylindrical panels, and shells 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 and nonlinear 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, cylindrical panels 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%.