Stability of Solutions to an Aerohydroelasticity Problem

Abstract

We propose a mathematical model of a system of wing profiles of tandem type with elastic ailerons in subsonic flow of an ideal gas (liquid). The aerohydroelasticity problem is reduced to the study of a system of integro-differential equations. The solution is constructed by the Bubnov–Galerkin method. Numerical experiments are presented in the case of two profiles with elastic ailerons. We establish the dynamic stability of the aileron and obtain the stability conditions if only one profile has an elastic aileron.