Abstract
The method described earlier [J. Acoust. Soc. Am. 36, 1305–1313 (1964)] has been used for a variety of radiation problems and improved in precision and range of usefulness. The present program will calculate the near- or far-field radiation from any surface of revolution on which the normal vibration velocity is specified in the form υ=υ0Ψ(x)cos(mφ)cos(ωt−δ(x)), where Ψ(x) is an arbitrary function of the longitudinal position x, m is an arbitrary integer, φ, is the longitude, ω is an arbitrary circular frequency, and δ(x) is an arbitrary phase. The solution is based on a numerical solution of the von Helmholtz integral equation for the pressure at the surface. Numerical results are given for sound radiation by ring pistons on a spheroid [cf., Hanish, NRL Rep. 6108 (July 1964)]; pulsations of a finite cylinder [cf., Williams et al., J. Acoust. Soc. Am. 36, 2316–2322 (1964)], and circular pistons on a sphere [cf., Chen and Schweikert, J. Acoust. Soc. Am. 35, 1626–1632 (1963); and P. M. Morse Vibration and Sound, p. 325].
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