CIII.The acoustic and inertia pressure at any point on a vibrating circular disk

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Abstract
A formula is obtained for the acoustic pressure at any point on a rigid circular disk vibrating in an infinite plane. The analysis is extended to flexible disks whose dynamic deformation curve is taken to be of the form where p 1 is a variable parameter. It is shown that the acoustic and inertia components, into which the pressure can be resolved, vary from the centre to the edge. The expressions derived for the pressure in the cases considered involve Bessel, Struve, and hypergeometric functions. The results obtained are discussed with reference to the distribution of sound from the mouth of a long loud speaker horn. By integrating the product of pressure and velocity over the surface of the disk the radiated power can be evaluated. As an example, the case of a free-edge disk vibrating with free centre and one nodal circle is treated.

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