Modal analysis of industrial fluid structure systems with symmetric formulations in a finite element code

Authors

  • Jean-François Sigrist Service Technique et Scientifique DCN propulsion F-44620 La Montagne

DOI:

https://doi.org/10.13052/REMN.16.305-321

Keywords:

fluid structure interaction, modal analysis, elasto-acoustic problems, symmetric formulations

Abstract

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.

Downloads

Download data is not yet available.

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.

Downloads

Published

2007-07-28

How to Cite

Sigrist, J.-F. (2007). Modal analysis of industrial fluid structure systems with symmetric formulations in a finite element code. European Journal of Computational Mechanics, 16(3-4), 305–321. https://doi.org/10.13052/REMN.16.305-321

Issue

Section

Original Article