The velocity potential for a flexible circular disk with a uniform pressure distribution in an infinite rigid planar baffle is calculated. The problem is mathematically similar to the diffraction of a plane wave by a circular aperture. The velocity of the disk which produces the uniform pressure be¬comes infinite at the edge of the disk. The raised boundary value problem is solved by expanding the velocity of the pis¬ton in an infinite Dini series of Bessel functions;to find the coefficients in the series one has to solve an infinite set of linear equations. For numerical computations the in¬finite set is approximated by a finite set of equations. Nu¬merical results for the sound pressure in the far field and the near field, the radiation impedance, and the velocity dis¬tribution over the piston are presented. It is shown that the cavitation limited power output from the constant pressure disk exceeds the output from a disk with a constant velocity.
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