A refined and efficient approach is presented for determining the radiated sound pressure levels in an infinite acoustic medium produced by a closed structure undergoing harmonic vibratory motion. Refined acoustic and equilibrium relationships are developed and quadratic approximations are used to define the acoustic variables on the radiating surface. Efficiencies are inherent in the modal approach utilized to define an equilibrium relationship and in the treatment of improper integral forms. Examples include the special problem of a finite cylindrical cavity for which uniform radial velocity is specified. Also investigated is a thin elastic sphere for which particular modes of vibration are specified.

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