Applied Mathematics and Mechanics

, Volume 26, Issue 2, pp 261–268 | Cite as

A novel ellipsoidal acoustic infinite element

  • Yang Rui-liang
  • Wang Hong-zhen
Article

Abstract

A novel ellipsoidal acoustic infinite element is proposed. It is based a new pressure representation, which can describe and solve the ellipsoidal acoustic field more exactly. The shape functions of this novel acoustic infinite element are similar to the Burnett’s method, while the weight functions are defined as the product of the complex conjugates of the shaped functions and an additional weighting factor. The code of this method is cheap to generate as for 1-D element because only 1-D integral needs to be numerical. Coupling with the standard finite element, this method provides a capability for very efficiently modeling acoustic fields surrounding structures of virtually any practical shape. This novel method was deduced in brief and the conclusion was kept in detail. The test the feasibility of this novel method efficiently, in the examples the infinite elements were considered, excluding the finite elements relative. This novel ellipsoidal acoustic infinite element can deduce the analytic solution of an oscillating sphere. The example of a prolate spheroid shows that the novel infinite element is superior to the boundary element and other acoustic infinite elements. Analytical and numerical results of these examples show that this novel method is feasible.

Key words

inifinite element ellipsoidal acoustic infinite element shape function weight function ellipsoidal coordinate Burnett’s method Chinese Library Classification O422.7 

2000 Mathematics Subject Classification

74J20 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2005

Authors and Affiliations

  • Yang Rui-liang
    • 1
  • Wang Hong-zhen
    • 2
  1. 1.Department of Energy and Environmental EngineeringZhongyuan Institute of TechnologyZhengzhouP. R. China
  2. 2.State Key Laboratory of Vibration, Shock & NoiseShanghai Jiaotong UniversityShanghaiP. R. China

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