Abstract
It was assumed in this paper that the sound source was placed on the surface of an ideal rigid circular cone. The vibration velocity amplitude at the source was constant. Solution of the wave equation in a system of spherical coordinates, by using the Kontorovich–Lebedev transformation, gave the acoustic potential. Expressions for the acoustic pressure on the axis of a circular cone were derived, and these calculations were represented graphically.References
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[4] H. S. CARSLAW, Theory of vibration and sound radiation by a conical loudspeaker membrane (in Polish), Publications of Wroclaw Technical University, Wrocław 1978.
[2] F. A. CARRUS, C. G. TREUENFELS, Tables of roots and incomplete integrals of associated Legendre functions of fractional orders, J. Math. and Phys., 29, 4, 282-299 (1951).
[3] H. S. CARSLAW, Diffraction of waves by a wedge of any angle, Proc. London Math. Soc., 19, 291-306 (1919).
[4] H. S. CARSLAW, Theory of vibration and sound radiation by a conical loudspeaker membrane (in Polish), Publications of Wroclaw Technical University, Wrocław 1978.
