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THE VIBRATION OF A HOMOGENEOUS PLATE WITH LINEAR DAMPING, RADIATING INTO A FLUID MEDIUM,
DON BOSCO INST FOR RESEARCH RAMSEY N J
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Stress-strain relations incorporating linear, frequency independent damping, the type characteristic of structural metals, were employed in deriving an equation of motion for a plate in an acoustic medium. Two sets of boundary conditions are considered. First, an infinitely long plate, simply supported along its two edges is analyzed. It is assumed that the plate is set between infinite walls with different fluids occupying the space above and below the plate. A sound wave travels through the first medium, strikes the plate, sets it into vibration and causes re-radiation of sound into the second medium. In the second loading condition, a fluid medium acting on only one side of the plate, with an harmonic force directly applied and acting on the other side of the plate. The plate vibration causes radiation of sound into the medium. The second plate considered is a rectangular plate, simply supported along 2 opposite edges, free along the other 2, and again set between infinite walls. This plate has an harmonic force acting on one side and radiates sound waves into a medium on the other. Effectiveness of the plates for damping out vibratory energy is measured by a pressure ratio. This quantity is calculated for a number of situations in a numerical example. Author
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