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Analysis of Acoustic Radiation Modes Based on Discontinuous BEM
SHEN Huo-ming;ZHANG Bo;ZHI Wei
   2011, 31 (6): 104-108.   DOI: 10.3969/j.issn.1006-1355-2011.06.023
Abstract （1567）            Save
In this paper, the discontinuous element is employed for separating the Helmholtz boundary integral equation. The polar coordinate transformation in discontinuous element is employed to eliminate the singularity in the integrals. Meanwhile, the CHIEF method in addition to the Lagrange multiplier is applied to deal with the non-uniqueness at the characteristic frequencyies. On this basis, the expressions for acoustic radiation power and radiation efficiency are derived by the discontinuous element. Taking the spherical radiation and cubical radiation as numerical examples, the radiation power, radiation efficiency, radiation modes and modal radiation efficiency are computed. The results are compared with those of the existing solutions based on linear continuous element. Both simulation results are in good consistency.
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Application of Discontinuous Element in Acoustics BEM
ZHANG Bo;SHEN Huo-ming;ZHI Wei
   2011, 31 (2): 25-28.   DOI: 10.3969/j.issn.1006-1355-2011.02.007
Abstract （1939）            Save
To solve the problem of corner point in surface in BEM, discontinuous element is employed for the discretization of Helmholtz boundary integral equation. The polar coordinate transformation in discontinuous element is presented so as to eliminate the singularity in the integration. Meanwhile, the CHIEF method and the Lagrange multiplier are applied to deal with the non-unique solutions. The value of acoustic pressures at the nodes can be acquired by solving a set of linear algebraic equations, acoustic pressure in grid points are obtained by taking the node average values or element average values. In order to demonstrate the robustness and accuracy of the proposed method, two numerical examples of sound radiation from a pulsating sphere and a cube are presented. The results calculated by discontinuous element are compared with the results determined by continuous element. The results have verified the efficiency and adaptability of the proposed method.
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