Application of the Wave Based techniques for steady-state semi-infinite sound radiation analysis

• Autorzy: Rejlek J. , Pluymers B. , Hepberger A. , Priebsch H.-H. , Demset W.
• Języki publikacji: EN

Abstrakty

EN

This paper reports on the development of a novel wave based prediction technique for the steady-state sound radiation analysis of three-dimensional semi-infinite problems. Instead of simple polynomial shape functions, this method adopts an indirect Trefftz approach, in which it uses the exact solutions of the governing differential equation for the field variables approximation. Since a fine discretization is no longer required, the resulting wave based models are substantially smaller than the element-based counterparts. Application of the proposed approach to various validation examples illustrates an enhanced computational efficiency as compared with element-based methods.

Słowa kluczowe

EN

Wave Based Technique; radiation analysis; 3D problems

PL

analiza promieniowania; zagadnienia 3D

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2008
• Tom: Vol. 15, No. 3/4
• Strony: 337--351
• Opis fizyczny: Bibliogr. 14 poz., tab., wykr.

Twórcy

autor

Rejlek J.

autor

Pluymers B.

autor

Hepberger A.

autor

Priebsch H.-H.

autor

Demset W.

• Virtual Vehicle Competence Center (vif), Graz, Austria

Bibliografia

• [l] R.J. Astley. Infinite elements for wave problems: a review of current formulations and an assessment of accuracy. International Journal for Numerical Methods in Engineering, 49: 951-976, 2000.
• [2] J. Berenger. A Perfectly Matched Layer for the Absorption of Electromagnetic Waves. Journal of ComputationalPhysics, 114: 185 200, 1994.
• [3] B. Bergen, B. Van Genechten, B. Pluymers, D. Vandepitte, W. Desmet. Efficient wave based models for acoustic scattering and transmission problems using point source and plane wave excitation. Proceedings of the Fourteenth International Congress on Sound and Vibration (ICSV14), Cairns, Australia, July 9 12, 2007.
• [4] W. Desmet. A Wave Based Prediction Technique for Coupled Vibro-acoustic Analysis. Ph.D. thesis 98D12, Katholieke Universiteit Leuven, Leuven, Belgium, 1998.
• [5] O. von Estorff. Boundary Elements in Acoustics: Advances and Applications. WIT Press, 2000.
• [6] M.J. Grote, C. Kirsch. Nonreflecting boundary condition for time-dependent multiple scattering. Journal of Computational Physics, 221: 41-62, 2007.
• [7] A. Hepberger, B. Pluymers, K. Jalics, H.-H. Priebsch, W. Desmet. Validation of a Wave Based Technique for the analysis of a multi-domain 3D acoustic Cavity with interior damping and loudspeaker excitation. Proceedings of the 33rd International Congress and Exposition on Noise Control Engineering (Internoise 2004), Prague, Czech Republic, August 22-25, 2004.
• [8] B. Pluymers. Wave Based Modelling Methods for Steady-state Vibro-acoustics. Ph.D. thesis 06D4, Katholieke Universiteit Leuven, Leuven, Belgium, 2006.
• [9] B. Pluymers, W. Desmet, D. Vandepitte, P. Sas. On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis. Journal of Computer Modeling in Engineering & Sciences (CMES), 7(2), 173-184, 2005.
• [10] B. Pluymers, B. Van Hal, D. Vandepitte, W. Desmet. Trefftz-based methods for time-harmonic acoustics. Archives of Computational Methods in Engineering (ARCME), 14: 343-381, 2007.
• [11] J. Rejlek, B. Pluymers, F. Diwoky, A. Hepberger, H.-H. Priebsch, W. Desmet. Validation of the wave based technique for the analysis of 2D steady-state acoustic radiation problems. Proceedings of the International Conference on Engineering Dynamics (ICED2007), Carvoeiro, Algarve, Portugal, 2007.
• [12] L. L. Thompson, R. Huan. Computation of transient radiation in semi-infinite regions based on exact nonreflecting boundary conditions and mixed time integration. The Journal of the Acoustical Society of America, 106(6): 3095-3108, 1999.
• [13] E. Trefftz. Ein Gegenstuck zum Ritzschen Verfahren. In: Proceedings of the 2nd International Congress of Applied Mechanics, Zurich, Switzerland, pp. 131-137, 1926.
• [14] O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, P. Nithiarasu. The Finite Element Method (6th ed.). Butterworth-Heinemann, 2005.