On solutions of integro-differential equations in dynamic problem of one aeroelastic system “tandem” type

A mathematical model of the dynamical system of the two elastic “tandem” type plates, flowing along of the subsonic flow of gas (fluid) is proposed. The solution of aerohydrodynamic part of problem based on the methods of complex variable functions theory is given. The bound system of the equations allowing to investigate the plates dynamic is obtained. The numerical-analytical method of solution of this equation is offered.