In the proposed approach, an acoustic domain is split into two parts by an arbitrary artificial boundary. The surrounding medium around the vibrating surface is discretized with finite elements up to the artificial boundary. The constraint equation specified on the artificial boundary is formulated with the Helmholtz integral equation straightforwardly, in which the source surface coincides with the vibrating surface discretized with boundary elements. To ensure the uniqueness of the numerical solution, the composite Helmholtz integral equation proposed by Burton and Miller was adopted. Due to the avoidance of singularity problems inherent in the boundary element formulation, this method is very efficient and easy to implement in an isoparametric element environment. It should be noted that the present method also can be applied to thin-body problems by using quarter-point elements.
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April 1999
Research Papers
Finite Elements with Nonreflecting Boundary Conditions Formulated by the Helmholtz Integral Equation
Shu-Wei Wu
Shu-Wei Wu
Department of Mechanical Engineering, National Central University, Chung-Li, Taiwan 32054
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Shu-Wei Wu
Department of Mechanical Engineering, National Central University, Chung-Li, Taiwan 32054
J. Vib. Acoust. Apr 1999, 121(2): 214-220 (7 pages)
Published Online: April 1, 1999
Article history
Received:
May 1, 1998
Online:
February 26, 2008
Citation
Wu, S. (April 1, 1999). "Finite Elements with Nonreflecting Boundary Conditions Formulated by the Helmholtz Integral Equation." ASME. J. Vib. Acoust. April 1999; 121(2): 214–220. https://doi.org/10.1115/1.2893967
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