Acoustic analysis of a finite cylindrical duct based on Green's functions

An approximate acoustic model of a finite cylindrical duct for studying the sound radiation of MRI scanners is presented in this paper. The finite duct was regarded as a “virtually closed cavity” with a specific boundary definition at the two open ends. The eigenfunctions ψ chosen as consisting of t...

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Bibliographic Details
Published in:Journal of sound and vibration 2005-11, Vol.287 (4), p.979-988
Main Authors: Shao, W., Mechefske, C.K.
Format: Article
Language:English
Subjects:
Acoustics
Boundary element method
Computational efficiency
Cut-off
Ducts
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Green's functions
Linear acoustics
Mathematical analysis
Physics
Vibration
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Summary:An approximate acoustic model of a finite cylindrical duct for studying the sound radiation of MRI scanners is presented in this paper. The finite duct was regarded as a “virtually closed cavity” with a specific boundary definition at the two open ends. The eigenfunctions ψ chosen as consisting of the acoustic modes at the cut-off frequencies were used for the Green's functions to solve the Kirchhoff–Helmholtz (K–H) integral. The sound fields calculated by the analytical model were similar to the results obtained by the boundary element method (BEM) model except for some relatively minor differences in the region close to the open ends. When compared to the previous work, this model is relatively simple and much more computationally efficient.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2005.02.035