Stability of solution of one nonlinear initial-boundary problem of aeroelasticity

Stability of solution of one nonlinear initial-boundary problem of aeroelasticity

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The dynamic stability of an elastic element of the channel wall under the subsonic stream of an ideal compressible fluid (gas) is studied.Determination of the stability Growth Charts of an elastic body corresponds to the concept of stability of dynamical systems by Lyapunov.The sufficient conditions for stability are obtained.Conditions impose limitations on the speed of the uniform Balaclava stream of gas, compressed (tensile) element of efforts, the elastic element stiffness and other parameters of the mechanical system.