On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis

CMES - Computer Modeling in Engineering and Sciences

Volumn 7, Issue 2, 2005, Pages 173-183

  Pluymers, B ^a   Desmet, W ^a   Vandepitte, D ^a   Sas, P ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Mid frequency analysis; Radiation; Structural acoustics; Trefftz method; Wave based method

Indexed keywords

ACOUSTIC WAVES; BOUNDARY ELEMENT METHOD; FINITE ELEMENT METHOD; LOUDSPEAKERS; MATRIX ALGEBRA; NUMERICAL METHODS; POLYNOMIALS; PROBLEM SOLVING; STRUCTURAL ANALYSIS;

MID-FREQUENCY ANALYSIS; STRUCTURAL-ACOUSTICS; TREFFTZ METHOD; WAVE BASED METHOD;

ARCHITECTURAL ACOUSTICS;

EID: 15544390652     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (43)

1. Alves, C. J. S.; Valtchev, S. S. (2003): Numerical simulations of acoustic wave scattering using a meshfree plane wave method. Proceedings of the International Workshop on MeshFree Methods, Instituto Superior Tcnico, Portugal, pp. 215-220.
2. th International Congress on Sound and Vibration, Copenhagen, Denmark, pp. 523-538.
3. Astley, R. J.; Macaulay, G. J.; Coyette, J. P.; Cremers, L. (1998): Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part I: Formulation in the frequency domain. JASA, vol. 103, pp. 49-63.
4. Atluri, S. N. (2004): The Meshless Method (MLPG) for Domain & BIE Discretizations. Tech Science Press.
5. Babuska, I.; Melenk, J. (1997): The partition of unity method. International Journal for Numerical Methods in Engineering, vol. 40, pp. 727-758.
6. Babuska, I.; Sauter, S. (1997): Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wavenumbers? SIAM Journal on Numerical Analysis, vol. 34, pp. 2392-2523.
7. Bettess, P. (1992): Infinite Elements. Penshaw Press, Sunderland.
8. Bouillard, P.; Lacroix, V.; De Bel, E. (2004): A wave-oriented meshless formulation for acoustical and vibro-acoustical applications. Wave Motion, vol. 39, pp. 295-305.
9. Callsen, S.; Von Estorff, O.; Zaleski, O. (2004): Direct and Indirect Approach of a Desingularized Boundary Element Formulation for Acoustical Problems. CMES: Computer Modeling in Engineering & Sciences, vol. 6, pp. 421-430.
10. Colton, D.; Kress, R. (1998): Inverse Acoustic and Electromagnetic Scattering Theory (second edition). Springer-Verlag, Berlin Heidelberg.
11. th Aeroacoustics Conference, edited by DGLR, Aken, Germany, pp. 421-427.
12. Cremers, L.; Fyfe, K. R.; Sas, P. (2000): A variable order infinite element for multi-domain boundary element modelling of acoustic radiation and scattering. Journal of Applied Acoustics, vol. 59, pp. 185-220.
13. Desmet, W. (1998): A wave based prediction technique for coupled vibro-acoustic analysis. KULeuven, division PMA, PhD. thesis 98D12, http : //people.mech.kuleuven.ac.be/~wdesmet/desmet_phd_thesis.pdf.
14. Desmet, W.; Pluymers, B.; Sas, P. (2003): Vibro-acoustic analysis procedures for the sound insulation characteristics of agricultural machinery cabins. Journal of Sound and Vibration (JSV), vol. 266, pp. 407-441.
15. Desmet, W.; Van Hal, B.; Sas, P.; Vandepitte, D. (2002): A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems. Advances in Engineering Software, vol. 33, pp. 527-540.
16. Fairweather, G.; Karageorghis, A.; Martin, P. A. 2003): The method of fundamental solutions for scattering and radiation problems. Engineering Analysis with Boundary Elements, vol. 27, pp. 759-769.
17. Farhat, C.; Wiedemann-Goiran, P.; Tezaur, R. (2004): A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes. Wave Motion, vol. 39, pp. 307-317.
18. Gerdes, K. (2000): A review of infinite element methods for exterior Helmholtz problems. Journal of Computational Acoustics, vol. 8, pp. 43-62.
19. Harari, I.; Barai, P.; Barbone, P. E.; Slavutin, M. (2001): Three-dimensional infinite elements based on a Trefftz formulation. Journal of Computational Acoustics, vol. 9, pp. 381-394.
20. Harari, I.; Patlashenko, I.; Givoli, D. (1998): Dirichlet-to-Neumann maps for unbounded wave guides. Journal of Computational Physics, vol. 143, pp. 200-223.
21. Herrera, I. (1984): Boundary Methods: an Algebraic Theory. Pitman Adv. Publ. Program, London.
22. Herrin, D. W.; Martinus, F.; Wu, T. W.; Seybert, A. F. (2003): A new look at the high frequency boundary element and Rayleigh integral approximations. Proceedings of the 2003 SAE Noise and Vibration Conference, Traverse City, Michigan, USA.
23. Ihlenburg, F. (1998): Finite element analysis of acoustic scattering. Springer-Verlag New York, Inc.
24. Ihlenburg, F. (2000): On fundamental aspects of exterior approximations with infinite elements. Journal of Computational Acoustics, vol. 8, pp. 63-80.
25. Ihlenburg, F.; Babuska, I. (1995): Finite element solution to the Helmholtz equation with high wavenumber - part I: the h-version of the FEM. Journal of Computational Methods in Applied Mechanical Engineering, vol. 30, pp. 9-37.
26. Junger, M. C.; Feit, D. (1993): Sound, structures, and their interaction. Acoustical Society of America, §10.8.
27. Keller, J. B.; Givoli, D. (1989): Exact non-reflecting boundary conditions. Journal of Computational Physics, vol. 82, pp. 172-192.
28. Kirkup, S. (1998): The Boundary Element Method in Acoustics. Integrated Sound Software.
29. Nicholls, D. P.; Nigam, N. (2004): Exact non-reflecting boundary conditions on general domains. Journal of Computational Physics, vol. 194, pp. 278-303.
30. Ochmann, M.; Homm, A.; Makarov, S.; Semenov, S. (2003): An iterative GMRES-based boundary element solver for acoustic scattering. Engineering Analysis with Boundary Elements, vol. 27, pp. 717-725.
31. Pluymers, B.; Desmet, W.; Vandepitte, D.; Sas, P. (2003): A Trefftz-based prediction technique for multi-domain steady-state acoustic problems. Proceedings of the Tenth International Congress on Sound and Vibration, Stockholm, Sweden.
32. Pluymers, B.; Desmet, W.; Vandepitte, D.; Sas, P. (2004): Application of an efficient wave based prediction technique for the analysis of vibro-acoustic radiation problems. Journal of Computational and Applied Mathematics (JCAM), vol. 168, pp. 353-364.
33. Qian, Z. Y.; Han, Z. D.; Atluri, S. N. (2004): Directly Derived Non-Hyper-Singular Boundary Integral Equations for Acoustic Problems, and Their Solution through Petrov-Galerkin Schemes. CMES: Computer Modeling in Engineering & Sciences, vol. 5, pp. 541-562.
34. Qian, Z. Y.; Han, Z. D.; Ufimtsev, P.; Atluri, S. N. (2004): Non-Hyper-Singular Boundary Integral Equations for Acoustic Problems, Implemented by the Collocation-Based Boundary Element Method. CMES: Computer Modeling in Engineering & Sciences, vol. 6, pp. 133-144.
35. Shirron, J. J.; Babuska, I. (1998): A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems. Comput. Methods Appl. Mech. Engrg, vol. 164, pp. 121-139.
36. Thompson, L.; Pinsky, P. (1995): A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation. International Journal for Numerical Methods in Engineering, vol. 38, pp. 371-397.
37. nd International Congress on Applied Mechanics, Zurich, Switzerland, pp. 131-137.
38. Van Hal, B.; Desmet, W.; Vandepitte, D. (2005): Hybrid finite element - wave based method for steady-state interior structural-acoustic problems. Computers & Structures, vol. 83, pp. 167-180.
39. Van Hal, B.; Desmet, W.; Vandepitte, D.; Sas, P. (2003): A coupled finite element - wave based approach for the steady state dynamic analysis of acoustic systems. Journal of Computational Acoustics, vol. 11, pp. 255-283.
40. Van Hal, B.; Desmet, W.; Vandepitte, D.; Sas, P. (2003): Hybrid finite element - wave based method for acoustic problems. Computer Assisted Mechanics and Engineering Sciences (CAMES), vol. 11, pp. 375-390.
41. Von Estorff, O. (2000): Boundary Elements in Acoustics: Advances and Applications. WITpress.
42. Wolf, J. P.; Song, C. (1996): Finite element modelling of unbounded media. John Wiley and Sons, Chichester.
43. Zienkiewicz, O. C.; Taylor, R. L. (2000): The Finite Element Method-Vol. 1: The basis (fifth edition). Butterworth-Heinemann.