On the analysis of vibro-acoustic systems in the mid-frequency range using a hybrid deterministic-statistical approach

Computers and Structures

Volumn 89, Issue 11-12, 2011, Pages 868-877

  Vergote, Karel ^a   Van Genechten, Bert ^a   Vandepitte, Dirk ^a   Desmet, Wim ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Hybrid methodology; Mid frequency; Statistical Energy Analysis; Steady state; Vibro acoustics; Wave Based Method

Indexed keywords

HYBRID METHODOLOGIES; MID-FREQUENCY; STATISTICAL ENERGY ANALYSIS; STEADY-STATE; VIBROACOUSTICS; WAVE BASED METHOD;

ACOUSTIC FIELDS; ACOUSTIC WAVE PROPAGATION; DYNAMIC ANALYSIS; ENERGY MANAGEMENT; NUMERICAL METHODS; STATISTICS;

FINITE ELEMENT METHOD;

EID: 79955633343     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2011.03.002     Document Type: Conference Paper

References (65)

1. O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, and P. Nithiarasu The Finite Element Method - The three volume set 6th ed. 2005 Butterworth-Heinemann
2. R. Freymann Advanced numerical and experimental methods in the field of vehicle structural-acoustics 2000 Hieronymus Buchreproduktions GmbH München
3. P. Bouillard, and F. Ihlenburg Error estimation and adaptivity for the finite element method in acoustics: 2d and 3d applications Comput Methods Appl Mech Eng 176 1999 147 163 (Pubitemid 29432964)
4. R.S. Langley A hybrid method for the vibration analysis of complex structural-acoustic systems J Acoust Soc Am 105:3 1999 1657 1671
5. I. Harari, and D. Avraham High-order finite element methods for acoustic problems J Comput Acoust 5 1997 33 51 (Pubitemid 127343092)
6. S. Dey, J.J. Shirron, and L.S. Couchman Mid-frequency structural acoustic and vibration analysis in arbitrary, curved three-dimensional domains Comput Struct 79 2001 617 629 (Pubitemid 32077157)
7. R.R. Craig Jr. Structural dynamics: an introduction to computer methods 1981 John Wiley & Sons New York Chichester Brisbane Toronto Singapore
8. Bennighof JK, Kaplan MF, Muller MB, Kim M. Meeting the NVH computational challenge: automated multi-level substructuring. In: Proceedings of the international modal analysis conference XVIII (IMAC18), San Antonio, USA, 2000, pp. 909-915. (Pubitemid 30591256)
9. Datta DK, Dey S, Shirron JJ. Scalable Three-Dimensional Acoustics Using hp-finite/infinite elements and FETI-DP. In: Proceedings of the 16th international domain decomposition conference (DDM16), New York, USA, 2005.
10. C. Farhat, A. Macedo, M. Lesoinne, F.-X. Roux, F. Magoules, and A. de La Bourdonnaie Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems Comput Methods Appl Mech Eng 184 2000 213 239 (Pubitemid 30590648)
11. J.H. Ko, and D. Byun Comparison on numerical solutions for mid-frequency response analysis of finite element linear systems Comput Struct 88 2010 18 24
12. I. Harari, and F. Magoules Numerical investigations of stabilized finite element computations for acoustics Wave Motion 39 2004 339 349 (Pubitemid 38362520)
13. O. Cessenat, and B. Desprs Using plane waves as base functions for solving time harmonic equations with the ultra weak variational formulation J Comput Acoust 11 2 2003 227 238
14. Huttunen T, Monk P, Kaipio JP. Parallelized UWVF method for 3D Helmholtz problems. In: Proceedings of the European Congress on computational methods in applied sciences and engineering, Jyvaskyla, Finland, 2004, p. CDrom.
15. C. Farhat, I. Harari, and L.P. Franca The discontinuous enrichment method Comput Methods Appl Mech Eng 190 2001 6455 6479 (Pubitemid 32984207)
16. T. Strouboulis, K. Copps, and I. Babusska The generalized finite element method Comput Methods Appl Mech Eng 190 2001 4081 4193
17. B.R. Mace, D. Duhamel, M.J. Brennan, and L. Hinke Finite element prediction of wave motion in structural waveguides J Acoust Soc Am 117 2005 2835 2843 (Pubitemid 40675150)
18. J.-M. Mencik On the low- and mid-frequency forced response of elastic structures using wave finite elements with one-dimensional propagation Comput Struct 88 2010 674 689
19. B. Van Genechten, K. Vergote, D. Vandepitte, and W. Desmet A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions Comput Methods Appl Mech Eng 199 2010 1881 1905 10.1016/j.cma.2010.01.013
20. Trefftz E. Ein gegenstück zum ritzschen verfahren. In: Second international congress on applied mechanics, Zürich, Switserland; 1926, p. 131-7.
21. B. Pluymers, B. Van Hal, D. Vandepitte, and W. Desmet Trefftz-based methods for time-harmonic acoustics Arch Comput Methods Eng 14 4 2007 343 381 10.1007/s11831-007-9010-x
22. Desmet W. A wave based prediction technique for coupled vibro-acoustic analysis, K.U.Leuven, division PMA, PhD. Thesis 98D12. http://www.mech.kuleuven. be/mod/wbm/phd-dissertations/.
23. Desmet W, Bergen B, Deckers E, Pluymers B, Van Genechten B, Vergote K, Vandepitte D. A wave based prediction technique following a Trefftz approach: a possible solution to the mid-frequency modelling challenge in acoustics and vibration?. In: Mace BR, Ferguson NS, Rustighi E, editors, Proceedings of the third conference on noise and vibration: emerging methods (NOVEM2009). Oxford, UK; 2009.
24. P. Ladevze, L. Arnaud, P. Rouch, and C. Blanzé The variational theory of complex rays for the calculation of medium-frequency vibrations Eng Comput 18 1999 193 214
25. P. Ladevze, L. Blanc, P. Rouch, and C. Blanzé A multiscale computational method for medium-frequency vibrations of assemblies of heterogeneous plates Comput Struct 81 2003 1267 1276
26. M. Chevreuil, P. Ladevze, and P. Rouch Transient analysis including the low- and the medium-frequency ranges of engineering structures Comput Struct 85 2007 1431 1444 (Pubitemid 47048821)
27. B. Pluymers, W. Desmet, D. Vandepitte, and P. Sas On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis J Comput Model Eng Sci 7 2 2005 173 184
28. B. Bergen, B. Van Genechten, D. Vandepitte, and W. Desmet An efficient Trefftz-based method for three-dimensional Helmholtz problems in unbounded domains Comput Model Eng Struct 61 2 2010 155 175
29. B. Van Hal, W. Desmet, and D. Vandepitte Hybrid finite element - wave based method for steady-state interior structural-acoustic problems Comput Struct 83 2005 167 180 10.1016/j.compstruc.2004.04.019 (Pubitemid 43066197)
30. B. Van Genechten, D. Vandepitte, and W. Desmet A trefftz-based numerical modelling framework for helmholtz problems with complex multiple scatterer configurations J Comput Phys 229 18 2010 6623 6643
31. C. Vanmaele, D. Vandepitte, and W. Desmet An efficient wave based prediction technique for plate bending vibrations Comput Methods Appl Mech Eng 196 2007 3178 3189 10.1016/j.cma.2007.03.002 (Pubitemid 46780138)
32. C. Vanmaele, D. Vandepitte, and W. Desmet An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities Comput Methods Appl Mech Eng 198 30-32 2009 2227 2245 10.1016/j.cma.2009.01.015
33. E. Deckers, D. Vandepitte, and W. Desmet Efficient treatment of stress singularities in poroelastic Wave Based models using special purpose enrichment functions Comput Struct 89 2011 1117 1130
34. R. Ohayon, and C. Soize Structural acoustics and vibration 1998 Academic press San Diego, London
35. B.R. Mace, K. Worden, and G. Manson Uncertainty in structural dynamics J Sound Vib 288 2005 423 429 (Pubitemid 41360479)
36. C.A. Schenk, and G.I. Schuëller Uncertainty assessment of large finite element systems 2005 Springer Berlin, Heidelberg, New York
37. C. Soize Uncertain dynamical systems in the medium-frequency range J Eng Mech 129 2003 1017 1027 (Pubitemid 37160214)
38. C. Soize Random matrix theory for modeling uncertainties in computational mechanics Comput Methods Appl Mech Eng 194 2005 1333 1366 (Pubitemid 40262933)
39. D. Moens, and D. Vandepitte A survey of non-probabilistic uncertainty treatment in finite element analysis Comput Methods Appl Mech Eng 194 2005 1527 1555 (Pubitemid 40262941)
40. R.H. Lyon, and R.G. DeJong Theory and application of statistical energy analysis 2nd ed. 1995 Butterworth-Heinemann
41. R.S. Langley A wave intensity technique for the analysis of high frequency vibrations J Sound Vib 159 3 1992 483 502
42. L. Maxit, and J.-L. Guyader Extension of SEA model tot subsystems with non-uniform modal energy distribution J Sound Vib 265 2003 337 358
43. N. Totaro, C. Dodard, and J.L. Guyader Sea coupling loss factors of complex vibro-acoustic systems J Vib Acoust 131 4 2009 041009-1 041009-8 10.1115/1.3086929
44. N. Vlahopoulos, and X. Zhao An approach for evaluating power transfer coefficients for spot-welded joints in an energy finite element formulation J Sound Vib 220 1 1999 135 154 (Pubitemid 129549920)
45. Moens I. On the use and the validity of the energy finite element method for high frequency vibrations, K.U.Leuven, division PMA, PhD. Thesis 01D2.
46. P. Hardy, M. Ichchou, L. Jézéquel, and D. Trentin A hybrid local energy formulation for plates mid-frequency flexural vibrations Eur J Mech A/Solids 28 2009 121 130
47. P.J. Shorter, and R.S. Langley Vibro-acoustic analysis of complex systems J Sound Vib 288 3 2005 669 699 10.1016/j.jsv.2005.07.010 (Pubitemid 41360490)
48. R.S. Langley, and J.A. Cordioli Hybrid deterministic-statistical analysis of vibro-acoustic systems with domain couplings on statistical components J Sound Vib 321 3-5 2009 893 912 10.1016/j.jsv.2008.10.007
49. P.J. Shorter, and R.S. Langley On the reciprocity relationship between direct field radiation and diffuse reverberant loading J Acoust Soc Am 117 1 2005 85 95 10.1121/1.1810271 (Pubitemid 40130135)
50. M.C. Junger, and D. Feit Sound, structures, and their interaction 1986 MIT press Cambridge
51. O. Von Estorff Boundary elements in acoustics: advances and applications 2000 WIT Press
52. T. Huttunen, P. Gamallo, and R.J. Astley Comparison of two wave element methods for the Helmholtz problem Commun Numer Methods Eng 25 1 2009 35 52
53. A.P. Zielinski, and I. Herrera Trefftz method: fitting boundary conditions Int J Numer Methods Eng 24 1987 871 891 (Pubitemid 17570400)
54. B. Van Genechten, B. Pluymers, D. Vandepitte, and W. Desmet A hybrid wave based - modally reduced finite element method for the efficient analysis of low- and mid-frequency car cavity acoustics SAE Int J Passenger Cars - Mech Syst 2 1 2009 1494 1504
55. B. Van Genechten, D. Vandepitte, and W. Desmet A direct hybrid finite element - Wave based modelling technique for efficient coupled vibro-acoustic analysis, Comput Methods Appl Mech Eng 200 5-8 2011 742 764 10.1016/j.cma.2010. 09.017
56. R.H. Lyon, and G. Maidanik Power flow between linearly coupled oscillators J Acoust Soc Am 34 1962 623 639
57. P.W.JR. Smith Response and radiation of structural modes excited by sound J Acoust Soc Am 34 1962 640 647
58. De Langhe K. High-frquency vibrations: contributions to experimental and computational SEA parameter identification techniques, K.U.Leuven, division PMA, Ph.D. Thesis 96D02.
59. F. Fahy An alternative to the SEA coupling loss factor: rationale and method for experimental determination J Sound Vib 214 2 1998 261 267 (Pubitemid 128379395)
60. Hermans L, Wyckaert K, De Langhe K. The process to experimentally identify the Statistical Energy Analysis parameters of industrial structures: step by step. In: Proceedings of the 21st international conference on noise and vibration engineering (ISMA21), Leuven, Belgium; 1996.
61. B.R. Mace, and P.J. Shorter Energy flow models from finite element analysis J Sound Vib 233 2000 369 389
62. A.N. Thite, and B.R. Mace Robust estimation of coupling loss factors form tinite element analysis J Sound Vib 303 2007 814 831 (Pubitemid 46617618)
63. L. Cremer, M. Heckl, and E.E. Ungar Structure born sound: structural vibrations and sound radiation at audio frequencies 2nd ed. 1990 Springer-Verlag
64. E. Deckers, B. Drofmans, B. Van Genechten, B. Bergen, D. Vandepitte, and W. Desmet Spline-based boundaries: a first step towards generic geometric domain descriptions for efficient mid-frequency acoustic analysis using the wave based method J Comput Appl Math 235 2011 2679 2693
65. N.J. Kessissoglou, and G.I. Lucas Gaussian orthogonal ensemble spacing statistics and the statistical overlap factor applied to dynamic systems J Sound Vib 324 3-5 2009 1039 1066