A generalized infinite element for acoustic radiation
- Release Time:2025-04-30
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Date:
2025-04-30Title of Paper:
A generalized infinite element for acoustic radiationJournal:
ASME Journal of Vibration and AcousticsSummary:
A generalized infinite element is presented by combining following aspects: (1) The geometry
mapping in the Cartesian system is chosen so as to facilitate the generation of
infinite element mesh; (2) The decay variable is defined as the in situ major axis of the
confocal ellipse where the field point is located, so it is dependent not only on the
infinite-directional coordinate but on the finite-directional one(s); (3) The shape function
is constructed so that it exactly satisfies the multipole expansion along the edges of the
infinite element; (4) The conjugated weighting function is adopted to eliminate the harmonic
terms from the integrands; and (5) the more proper form of phase factor and
weighting factor is recommended. Compared with the Bettess element and the Astley
element, the present element greatly reduces the element number within the finite element
zone for problems with a large aspect ratio. Compared with the Burnett element and the
modified Burnett element, the present element permits the free orientation of the infinite
element, and thereby is suitable for more general exterior problems, either of a closed
surface (source) or of an opening surface (source). Several typical examples are given
and their results show that the generalized infinite element is robust and flexible.Co-author:
L-X Li, et alVolume:
127(February, 2005)Page Number:
2-11Translation or Not:
NoDate of Publication:
2005-02-01
