Compressible Jet Impact onto Elastic Panels

摘要

The paper is concerned with initial stage of liquid jet impact onto an elastic plate. Owing to sharp temporal variation of the fluid flow, the liquid compressibility matters. The coupling between the fluid flow and the plate deflection is taken into account through the dynamic and kinematic conditions imposed on the wetted part of the plate. The problem is solved numerically by the normal mode method. The principal coordinates of the hydrodynamic pressure and plate deflections satisfy a system of ordinary differential and integral equations. Calculations are performed for a two-dimensional problem, an axisymmetric problem and a three-dimensional problem of a rectangular jet impact onto a rectangular an elastic plate. The effects of the impact conditions and the elastic properties of the plate on the magnitudes of elastic deflections and bending stresses are analyzed.