Stability of Flexible Channel Wall Streamlined by Viscous Incompressible Fluid Flow

Considered article is devoted to determining the influence of deformations, caused by hydrodynamic flow reaction, on the stability of clamped cantilever plate. Flow displacement, which defines the influence of the bottom canal wall, is imposed on the pressured flow. Results based on the use of Lagrange variational method, provided qualitative and quantitative conclusions about the effect of various factors on the stability of panel.