On the Static Bifurcation of a Moving Heated Panel Streamlined by an Ideal Fluid

The axial motion of a heated elastic panel streamlined by an ideal fluid is considered. It is supposed that the panel moving with a constant axial velocity and performing transverse elastic vibrations is simply supported at the span ends. The problem of static buckling (bifurcation) is formulated based on the concept of elastic equilibrium of a curved panel under the action of inertial forces, hydrodynamic reaction, heat, and in-plane tensions (compressions) applied to the panel. The derived nonlinear boundary value problem is solved by the perturbation method. As a result, the influence of heating, hydroelastic interaction, and in-plane tension (compression) on the stability of elastic panel performing axial motion and transverse vibrations is investigated.