Dynamic Response of a Fluid-Loaded Plate Containing Periodic Masses

摘要

This report derives the equations of motion of a fluid-loaded thin plate that contains periodically spaced embedded masses and is insonified by a harmonic plane wave. The thin plate equations of motion are coupled to the fluid and to the embedded masses and analyzed to determine the displacement field in the wave number-frequency domain. The masses of the periodic discontinuities are then varied to study their influence on the system dynamics. The formulation is then expanded to Timoshenko-Mindlin equations of motion, so that additional plate dynamics can be exhibited and understood. The problem is then posed using thick plate theory and the finite-element method to generate numerical solutions. Finally, thick plate equations of motion that contain bottom attached masses are formulated and presented.