Acoustic Radiation from Multiple Surfaces.
Abstract
A significant part of the current research effort in Acoustic Radiation Theory is concerned with transducer arrays and the effects of the interaction therein. There exist two broad sub-classes of the total problem: (1) one or more vibrating elements on a single common surface (baffle) and (2) one or more vibrating elements on multiple surfaces. Problems within the 1st sub-class have been treated extensively. Few solutions exist for problems within the 2nd sub-class and those that do are very restricted. This exposition seeks to extend the list of analytic developments to include solutions to certain multiple surface problems. Initially, the author obtains a formal solution to the problem of two vibrating spheres using the method of Green's functions. The extension to N vvibrating spheres, of arbitrary radii and location, follows and is obtained directly from the two-sphere problem. It is shown that the method is generally applicable to the N-body problem if the individual body shapes conform to a 'separable' coordinate system and the total field can be made to satisfy the Sommerfeld radiation condition. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0726209
Entities
People
- Ronald New
Organizations
- The Catholic University of America