A Variable Order Infinite Acoustic Wave Envelope Element

A new infinite wave envelope element for analyzing acoustic radiation and scattering problems in an unbounded domain is presented. The element is based on a finite to infinite geometry mapping and a wave representation within the shape function. It allows for the specification of an arbitrary number...

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Bibliographic Details
Published in:Journal of sound and vibration 1994-04, Vol.171 (4), p.483-508
Main Authors: Cremers, L., Fyfe, K.R., Coyette, J.P.
Format: Article
Language:English
Subjects:
Acoustics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Structural acoustics and vibration
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Description
Summary:A new infinite wave envelope element for analyzing acoustic radiation and scattering problems in an unbounded domain is presented. The element is based on a finite to infinite geometry mapping and a wave representation within the shape function. It allows for the specification of an arbitrary number of acoustic degrees of freedom in the radial infinite direction, yielding a 1/ r″ expansion for the proper modelling of the amplitude decay. Both two-dimensional and axisymmetric problems are presented to show the use and accuracy of this nth order infinite wave envelope element. Numerical results are compared with analytical and boundary element solutions.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1994.1136