A method is presented whereby the pressure variations at any point in the field of a baffled piston may be efficiently calculated. If a solution for the impulse response of a piston of a given geometry is known, then for harmonic excitation the steady‐state field may be computed by evaluating the driving‐frequency component of the Fourier transform of the impulse response. This method involves a single integration, whereas the direct numerical solution requires a double numerical integration. An exact, closed‐form solution for the impulse response of a rectangular piston is derived. With this solution and the known solution for the impulse response of a circular piston the steady‐state solutions for these two geometries are obtained. Three‐dimensional and contour plots of data obtained for a circular piston and for a plane of symmetry of a rectangular piston field are presented. The plots for the circular piston compare favorably with previously published plots of data calculated by a double integration.
High‐speed method for computing the exact solution for the pressure variations in the nearfield of a baffled piston
J. C. Lockwood, J. G. Willette; High‐speed method for computing the exact solution for the pressure variations in the nearfield of a baffled piston. J. Acoust. Soc. Am. 1 March 1973; 53 (3): 735–741. https://doi.org/10.1121/1.1913385
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