Numerical Computation of the Sound Pressure on a Spheroidal Surface Resulting from a Zone Vibrating near a Critical Frequency
DAVID W TAYLOR NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD COMPUTATION MATHEMATICS/LOGISTICS DEPT
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The report investigates a technique for numerically calculating the sound pressure on a submerged spheroidal baffle that has a narrow ring piston vibrating at a near-critical frequency. The Helmholtz integral equation relating surface pressure and velocity normal to the structural surface is used to formulate the radiation problem. In the numerical calculation, this equation is represented by approximating matrix equations. These matrix equations correspond to a representation of the shell surface by a finite network of surface elements. Calculated surface pressure curves obtained using the empirical approach show a trend toward agreement with a comparison curve selected from the literature.