On divergence of the stretched panel in supersonic gas flow, an accumulating on its free edge

By analyzing, as an example, a thin elastic rectangular plate streamlined by supersonic gas flows, we study the loss stability phenomenon of the overrunning of the gas flow at is free edge under the assumption of presence of the stretching forces at the hinged edges. Critical velocities of divergence of the panel and localized divergence are found. It is established that the stretching forces leads to the stabilizing of unperturbed equilibrium state of a plate in supersonic gas flow.