Modal analysis of industrial fluid structure systems with symmetric formulations in a finite element code
DOI:
https://doi.org/10.13052/REMN.16.305-321Keywords:
fluid structure interaction, modal analysis, elasto-acoustic problems, symmetric formulationsAbstract
The present paper deals with numerical developments performed in the finite element code ANSYS in order to implement coupled fluid structure formulations using symmetric matrices. The so-called (u, p, φ) formulation with mass and stiffness coupling is developed in the ANSYS code, enhancing the modeling possibilities of the existing fluid elements. Theoretical bases of the formulation are first exposed, test-cases and industrial application are then proposed. It is shown that computing times are decreased by 90% using a symmetric formulation instead of a non-symmetric one, allowing modal analysis of complex structures with fluid coupling for industrial purposes.
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References
Axisa F., Interactions Fluide Structure, Hermès, 2001.
Bermudez A., Duran R., Rodriguez R., « Finite Element Analysis of Compressible and Incompressible
Fluid-Solid System », Mathematics of Computation, vol. 67, n° 21, p. 111-136,
Boujot J., « Interaction fluide/structure en régime transitoire », La Recherche Aérospatiale, vol.
, p. 203-209, 1984.
Boujot J., « Mathematical Formulation of Fluid-Structure Interaction Problems », Mathematical
Modeling and Numerical Analysis, vol. 21, p. 239-260, 1987.
Devic C., Sigrist J.-F., Lainé C., Baneat P., « Analyse modale numérique et expérimentale d’une
hélice marine », 7ème Colloque national en calcul de structures, Giens, p. 277-282, 17-20
Mai, 2005.
Gervot C., Modélisation et Simulation numérique d’un problème couplé fluide/structure non
linéaire. Application au dimmensionnement de structures nucléaires de propulsion navale,
Thèse de doctorat, Université de Nantes, École Centrale de Nantes, 2004.
Gibert R., Vibration des structures. Interaction avec les fluides. Sources d’excitation aléatoires,
Collection de la Direction des Etudes et Recherches d’Electricité de France, vol. 69. Eyrolles,
Khonke P., ANSYS Theory Reference, Swanson Analysis System, 1986.
Makerle J., « Fluid-Structure Interaction Problems, Finite Element Approach and Boundary
Elements Approaches. A Bibliography », Finite Elements in Analysis and Design, vol. 31,
p. 231-240, 1999.
Morand H. J.-P., Ohayon R., Fluid-Structure Interaction, Wiley & Sons, 1995.
Morand H., Ohayon R., « Substructure Variational Analysis of the Vibrations of Coupled Fluid-
Structure Systems. Finite Element Results », International Journal of Numerical Methods
in Engineering, vol. 14, p. 741-755, 1979.
Rajakumar C., Rogers C., « The Lanczos Algorithm Applied to Unsymmetric Generalized
Eigenvalue Problem », International Journal of Numerical Methods in Engineering, vol.
, p. 1009-1026, 1991.
Schmidt E., Properties of Water and Steam in SI-Units. 0-800 oC, 0-1000 bar, Springer-Verlag,
Sigrist J.-F., Modélisation et Simulation numérique d’un problème couplé fluide/structure non
linéaire. Application au dimmensionnement de structures nucléaires de propulsion navale,
Thèse de doctorat, Université de Nantes, École Centrale de Nantes, 2004.
Sigrist J.-F., « Symmetric and Non-Symmetric Formulations for Fluid-Structure Interaction
Problems in Finite Element Code », Pressure Vessel and Piping, Vancouver, July 23-27,
Sigrist J.-F., Garreau S., « Calculs couplés fluide/structure en formulation pression/déplacement
axisymétrique harmonique », Revue européenne des éléments finis, vol. 14, n° 8, p. 1015-
, 2005a.
Sigrist J.-F., Lainé C., Peseux B., « Analyse modale d’une structure industrielle avec prise en
compte du couplage fluide/structure », Mécanique & Industries, vol. 6, n° 5, p. 553-563,
b.
Verpeaux P., « A Modern Approach of Computer Codes for Structural Analysis », Structural
Mechanics in Reactor Technology, Annheim, August 14-18, 1989.
Wandinger H., PERMAS-FS. Dynamic Anlysis of Coupled Fluid-Structure Systems. Theory
Manuel, Intes, 1992.
Woyak D., Acoustic and Fluid Structure Interaction, Swanson Analysis System, 1995.