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http://dx.doi.org/10.12989/sem.2018.65.4.359

Substructure/fluid subdomain coupling method for large vibroacoustic problems  

El Maani, Rabii (LMN, INSA de Rouen, Avenue de l'Universite)
El Hami, Abdelkhalak (LMN, INSA de Rouen, Avenue de l'Universite)
Radi, Bouchaib (LIMII, FST Settat, route de Casablanca)
Publication Information
Structural Engineering and Mechanics / v.65, no.4, 2018 , pp. 359-368 More about this Journal
Abstract
Dynamic analysis of complex and large structures may be costly from a numerical point of view. For coupled vibroacoustic finite element models, the importance of reducing the size becomes obvious because the fluid degrees of freedom must be added to the structural ones. In this paper, a component mode synthesis method is proposed for large vibroacoustic interaction problems. This method couples fluid subdomains and dynamical substructuring of Craig and Bampton type. The acoustic formulation is written in terms of the velocity potential, which implies several advantages: coupled algebraic systems remain symmetric, and a potential formulation allows a direct extension of Craig and Bampton's method to acoustics. Those properties make the proposed method easy to implement in an existing finite element code because the local numerical treatment of substructures and fluid subdomains is undifferentiated. Test cases are then presented for axisymmetric geometries. Numerical results tend to prove the validity and the efficiency of the proposed method.
Keywords
component mode synthesis; substructure; subdomain; vibroacoustic; finite element; fluid-structure interaction;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Bennighof, J. (1999), "Vibroacoustic frequency sweep analysis using automated multi-level substructuring", AIAA J., 1, 422-427.
2 Bermudez, A., Hervella-Nieto, L. and Rodriguez, R. (1999), "Finite element computation of three-dimensional elastoacoustic vibrations", J. Sound Vibr., 219, 279-306.   DOI
3 Corigliano, A., Dossi, M. and Mariani, S. (2013), "Domain decomposition and model order reduction methods applied to the simulation of multi-physics problems in MEMS", Comput. Struct., 122, 113-127.   DOI
4 Craig, R.R. (1995), "Substructure methods in vibration", J. Vibr. Acoust., 117, 207-213.   DOI
5 Craig, R.R. and Bampton, M.C. (1968), "Coupling of substructures for dynamic analyses", A.I.A.A. J., 6, 1313-1319.
6 Devic, C., Sigrist, J.F., Lain, C. and Baneat, P. (2005), "Etude modale numerique et experimentale d'une helice marine", Proceedings of Septieme Colloque National en Calcul des Structures, 1, 277-282.
7 El Hami, A. and Radi, B. (1996), "Some decomposition methods in the analysis of repetitive structures", Comput. Struct., 58(5), 973-980.   DOI
8 El Maani, R., Makhloufi, A., Radi, B. and El Hami, A. (2017a), RBDO analysis of the aircraft wing based aerodynamic behavior, Struct. Eng. Mech., 61, 441-451.   DOI
9 El Maani, R. Radi, B. and El Hami, A. (2017b), "Vibratory reliability analysis of an aircraft's wing via fluid-structure interactions", J. Aerosp., 4(3), 40.   DOI
10 Everstine, G.C. (1981), "A symmetric potential formulation for fluid-structure interaction", J. Sound Vibr., 79, 157-160.   DOI
11 Hamdi, M.A. and Ousset, Y. and Verchery, G. (1978), "A displacement method for the analysis of vibrations of coupled fluid-structure systems", J. Numer. Meth. Eng., 13, 139-150.   DOI
12 Kim, S., Choi, E., Lee, S. and Lim, O. (2014), "Semi-analytical numerical approach for the structural dynamic response analysis of spar floating substructure for offshore wind turbine", Struct. Eng. Mech., 52(3), 633-646.   DOI
13 MacNeal, R.H. (1971), "Domain decomposition and model order reduction methods applied to the simulation of multi-physics problems in MEMS", Comput. Struct., 1, 581-601.   DOI
14 Morand, H. and Ohayon, R. (1979), "Substructure variational analysis of the vibration of coupled fluid-structure systems. Finite element results", J. Numer. Meth. Eng., 741-755.
15 Sandberg, G.E., Hansson, P.A. and Gustavsson, M. (2001), "Domain decomposition in acoustic and structure-acoustic analysis", Comput. Meth. Appl. Mech. Eng., 190, 2979-2988.   DOI
16 Olson, L.G. and Bathe, K.J. (1983), "A study of displacement-based fluid finite elements for calculating frequencies of fluid and fluid-structure systems", Nucl. Eng. Des., 76, 137-151.   DOI
17 Olson, L.G. and Bathe, K.J. (1985), "Analysis of fluid-structure interactions. A direct symmetric coupled formulation based on the fluid velocity potential", Comput. Struct., 21, 21-32.   DOI
18 Radi, B. and Estrade, J.F. (1998), "Adaptive parallelization techniques in global weather models", Parall. Comput., 24, 1167-1175.   DOI
19 Radi, B., Gelin, C. and Perriot, A. (1994), "Subdomain methods in structural mechanics", J. Numer. Meth. Eng., 37, 3309-3322.   DOI
20 Rubin, S. (1975), "Improved component-mode representation for structural dynamic analysis", A.I.A.A. J., 13, 995-1006.
21 Sarsri, D., Azrar, L., Jebbouri, A. and El Hami, A. (2011), "Component mode synthesis and polynomial chaos expansions for stochastic frequency functions of large linear FE models", Comput. Struct., 89, 346-356.   DOI
22 Sigrist, J.F. (2011), Interaction Fluide-Structure, Analyse Vibratoire Par Elements Finis, Ellipse, Paris, France.
23 Souli, M. and Sigrist, J.F. (2009), Interaction Fluide-Structure: Modelisation et Simulation Numerique, Hermes, Paris, France.
24 Wang, X. and Bathe, K.J. (1997), "Displacement/pressure based mixed finite element formulations for acoustic fluid-structure interaction problems", J. Numer. Meth. Eng., 40, 2001-2017.   DOI
25 Bendaou, O., Rojas, J.E., El Hami, A., Annaque, A. and Agouzoul, M. (2009), "Stochastique and reliability analysis of a propeller with model reduction", Eur. J. Comput. Mech., 18(2), 153-173.
26 Xing, J.T., Price, W.G. and Du, Q.H. (1996), "Mixed finite element substructure-subdomain methods for the dynamical analysis of coupled fluid-solid interaction problems", Philosoph. Trans. Roy. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 354, 259-295.   DOI
27 Zienkiewicz, O.C. and Bettess, P. (1978), "Fluid-structure dynamic interaction and wave forces. An introduction to numerical treatment", J. Numer. Meth. Eng., 13, 1-16.   DOI
28 Ait Younes, T. and Hamdi, M.A. (1997), Computational Acoustics and Its Environmental Applications II, Modal Shapes Reconstruction Method for Large Domains (Structure and Acoustic), Computational Mechanics Publications, 129-137.