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Tytuł artykułu

Hybrid Finite Element - Wave Based Method for acoustic problems

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
International Workshop on the Trefftz Method (3 ; 16-18.09. 2002 ; Exeter, England)
Języki publikacji
EN
Abstrakty
EN
The finite element method (FEM) is widely accepted for the steady-state dynamic response analysis of acoustic systems. It exhibits almost no restrictions with respect to the geometrical features of these systems. However, its application is practically limited to the low-frequency range. An alternative method is the wave based method, which is an indirect Trefftz method. It exhibits better convergence properties than the FEM and therefore allows accurate predictions at higher frequencies. However, the applicability is limited to systems of moderate geometrical complexity. The coupling between both methods is proposed. Only the parts of the problem domain with a complex geometry are modelled using the FEM, while the remaining parts are described with a wave based model. The proposed hybrid method has the potential to cover the mid-frequency range, where it is still difficult for currently existing (deterministic) techniques to provide satisfactory prediction results within a reasonable computational time.
Rocznik
Strony
479--494
Opis fizyczny
Bibliogr. 22 poz., rys., tab., wykr.
Twórcy
autor
  • Katholieke Universiteit Leuven, Department of Mechanical Engineering, Division PMA Celestijnenlaan 300B, B-3001, Heverlee, Belgium
autor
  • Katholieke Universiteit Leuven, Department of Mechanical Engineering, Division PMA Celestijnenlaan 300B, B-3001, Heverlee, Belgium
  • Katholieke Universiteit Leuven, Department of Mechanical Engineering, Division PMA Celestijnenlaan 300B, B-3001, Heverlee, Belgium
autor
  • Katholieke Universiteit Leuven, Department of Mechanical Engineering, Division PMA Celestijnenlaan 300B, B-3001, Heverlee, Belgium
Bibliografia
  • [1] O.C. Zienkiewicz and R.L. Taylor. The Finite Element Method - Volume 1: Basic formulation and linear problems. McGraw-Hill, London, 4th edition, 1989.
  • [2] F. Ihlenburg. Finite Element Analysis of Acoustic Scattering, volume 132 of Applied Mathematical Sciences. Springer, New York, 1998.
  • [3] E. Trefftz. Ein Gegenstiick zum Ritzschen Verfahren. In: Proceedings of Second International Congress on Applied Mechanics, pages 131-137, Zürich, 1926.
  • [4] E. Kita and N. Kamiya. Trefftz method: an overview. Advances in Engineering Software, 24: 3-12, 1995.
  • [5] J. Jirousek and A. Wroblewski. T-elements: state of the art and future trends. Archives of Computational Mechanics in Engineering, 3: 323-434, 1996.
  • [6] Q.-H. Qin. The Trefftz Finite and Boundary Element Method . WIT Press, 2000.
  • [7] Y.K. Cheung, W.G. Jin, and O.C. Zienkiewicz. Solution of Helmholtz equation by Trefftz method. International Journal for Numerical Methods in Engineering, 32: 63-78, 1991.
  • [8] I. Herrera. Trefftz-Herrera domain decomposition. Advances in Engineering Software, 24: 43-56, 1995.
  • [9] S.C. Huang and R.P. Shaw. The Trefftz method as an integral equation. Advances in Engineering Software, 24: 57-63, 1995.
  • [10] M. Stojek. Least-squares Trefftz-type elements for the Helmholtz equation. International Journal for Numerical Methods in Engineering, 41: 831-849, 1998.
  • [11] P. Monk and D.-Q. Wang. A least-squares method for the Helmholtz equation. Computer Methods in Applied Mechanics and Engineering, 175: 121-136, 1999.
  • [12] J.A. Teixeira de Freitas. Hybrid-Trefftz displacement and stress elements for elastodynamics analysis in the frequency domain. Computer Assisted Mechanics and Engineering Sciences, 4: 345-368, 1997.
  • [13] Y.Y. Kim and J.H. Kang. Free vibration analysis of membranes using wave-type base functions. Journal of the Acoustical Society of America, 99: 2938-2946, 1996.
  • [14] Y.Y. Kim and D.K. Kim. Applications of waveguide-type base functions for the eigenproblems of two¬dimensional cavities. Journal of the Acoustical Society of America, 106: 1704-1711, 1999.
  • [15] S. Lifits, S. Reutskiy, and B. Tirozzi. A new Trefftz method for solving boundary value problems. ARI, 50: 85-95, 1997.
  • [16] W. Desmet. A wave based prediction technique for coupled vibro-acoustic analysis. PhD thesis, Katholieke Universiteit Leuven, 1998.
  • [17] W. Desmet, B. van Hal, P. Sas, and D. Vandepitte. A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems. Advances in Engineering Software, 33: 527-540, 2002.
  • [18] B. van Hal, W. Desmet, D. Vandepitte, and P. Sas. A Coupled Finite Element- Wave Based Approach for the steady-state dynamic analysis of acoustic systems. In: R. Boone, editor, Proceedings of Internoise 2001, pages 2459-2464, NAG, The Hague, 2001.
  • [19] B. van Hal, W. Desmet, D. Vandepitte, and P. Sas. A Coupled Finite Element- Wave Based Approach for the steady-state dynamic analysis of coupled structural-acoustic systems. In: H.A. Mang, F.G. Rammerstorfer, and J. Eberhardsteiner, editors, Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Austria, 2002. Vienna University of Technology.
  • [20] M.D. Greenberg. Advanced Engineering Mathematics. Prentice Hall, Upper Saddle River, NJ, USA, 2nd edition, 1998.
  • [21] B. van Hal, A. Hepberger, H.-H. Priebsch, W. Desmet, and P. Sas. High perfomance implementation and conceptual development of the wave based method for the steady-state dynamic analysis of acoustic problems. In: P. Sas and B. van Hal, editors, Proceedings of I SMA2002 - International Conference on Noise and Vibration Engineering, pages 817-826, Leuven, 2002. Katholieke Universiteit Leuven.
  • [22] P. Sas, W. Desmet, B. van Hal, and B. Pluymers. On the use of a wave based prediction technique for vehicle interior acoustics. In: Proceedings Styrian NVH Congress, pages 175-185, Graz, 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0009-0090
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