Forced vibrations of hereditary deformable shell elements of aircraft structures in gas flow under influence of atmospheric turbulence

The problem of vibrations thin, hereditarily deformable shell elements moving in a gas under the action atmospheric turbulence is considered. work aims to study flutter phenomenon aircraft flow loads caused by turbulence. Assuming that relationship between stresses and strains for material linear-hereditary, thin used, which obeys Kirchhoff-Love hypothesis. aerodynamic force written according linearized piston theory. A system nonlinear integro-differential equations partial derivatives obtained describe oscillations isotropic viscoelastic shell. solved numerically method proposed F. Badalov, based on Bubnov-Galerkin methods, finite differences, power series. When using an exponential kernel, rate increases approximately 1.5%. Therefore, when velocity practically coincides with critical ideally elastic plates. It was also found increase number pinched sides