Mathematical description and analysis of oscillatory processesof thin-walled structures when they are flown by a gas stream
Keywords:
modeling, three-layer plates, flutter, supersonic flow, critical velocitiesAbstract
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%.
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