Study of Plane Wave Impingement on a Thin Plate Capable of Deformation

摘要

This thesis models the effects in a fluid medium of a plane wave that hasimpinged upon a reinforced plate. The wave equation for pressure, and the equation of a thin plate combined with other equations are coupled at the interface between the fluid and the thin plate. The actual modeling is accomplished in a fortran computer program written to run on the Naval Postgraduate School's main frame computer. The program uses extensive finite differencing on a domain, assumed to be a small section of an infinite interface between the fluid and the plate, to simulate the deflection of the thin plate and the pressure disturbances in the fluid medium. To accomplish this, each of the above equations will be scaled or nondimensionalized. Additional finite differencing is explained which covers the special cases for the side boundaries of the fluid domain, and the artificial boundary created to model infinity. Different beam spacing is explored for its effect on the magnitude of the propagating modes of the scattered pressure wave.