On the Calculation of the Axisymmetric Modes and Frequencies of Conical Shells.

A numerical method is presented for determining the axisymmetric modes of vibration and natural frequencies of thin conical shells such as loudspeaker cones. Assuming the applicability of the classical theory of thin shells, the pertinent differential equations are presented in a form which is well-suited to numerical integration on an electronic digital computer. The method may be used also to determine the impedance of the cone at other than the natural frequencies, and to calculate the mechanical impedance of the assembly comprising the cone and the voice coil. Results are shown, by a numerical example, to compare favorably with a previously available method based upon the use of power series. [ABSTRACT FROM AUTHOR]