A VARIATIONAL SOLUTION OF SOLID AND FREE-FLOODING CYLINDRICAL SOUND RADIATORS OF FINITE LENGTH
CAMBRIDGE ACOUSTICAL ASSOCIATES INC MA
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Finite length effects in solid cylindrical sound sources and in free- flooding squirters are evaluated by means of a variational technique which parallels the Levine-Schwinger variational principle for diffraction problems. The radiation impedance is expressed as the sum of two components 1 the impedance computed from Robeys mathematical model which has been generally applied to cylindrical transducers, but which does not account for and effects 2 the impedance associated with the radial velocity distribution over the two semi-infinite cylindrical surfaces extending the radiating surface. This technique is also applied to longitudinal modes of the solid cylinder, and to non-axisymmetric modal configurations. A subsequent report CAA U-178-48 extends this analysis to arrays of coaxial free-flooding ring-transducers.