Summary
A new mixed functional is presented in terms of the displacement of the structure and the fluid loading on its boundary. It consists in coupling the classical functional of the structure with a variational formulation by integral equations of the fluid. This method has a double advantage: it avoids the difficult problem of singularities appearing when collocation technic is used and it leads. after discretisation by boundary finite elements method to an algebric symmetric system of small size which reduces considerably the calculation costs.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Eatwell, G.P:Aspects of wave propagation in fluid-loaded structures. Ph D. University of Bath [1981].
Lauchle, G.C:Interaction of spherical acoustic wave with an elastic spherical shell. Journal of sound and vibration. 44. nº1. pp.37–46. [1979].
Husson, D:Diffraction d’une onde acoustique plane par une sphere elastique C.E.R.D.S. M. 83140 Six Foors.
Zienkiwiecz, O.C: Newton, R.E: Coupled Vibration Of Structure Submerged In Compressible Fluid. Int. Symp. Of Finite Element Tech., Stuttgart [1969].
Ohayon, R. :Morand, D:Variational formulation for the elasto-acoustics vibration problem: finite element results. Sec. Int. Symp. of F.E.M applied to flow problems. Rappalo 14–18 june 1976 Italy.
Mayer, W.L: Bell, W.A :Journal of Acoust. Soc. Am., 65. n°3, pp.631–638 [1979].
Filippi, J.F: Journal of sound and vibration. 74. n°2, pp.473–500 [1977].
Geers, T.L:Felippa, C.A:Doubly asymptotic approximations for vibration analysis of submerged structures. J. Acoust. Soc. Am. vol 13[4] pp. 1152–1159 [1983].
Hamdi, M.A:C.R. Acad. Sc. Paris. t.292. Série 11.17 [janv. 1981]
Hamdi, M.A: Mebarek, L: Rayonnement de structures à géometries axisymètriques g°Coiloque d’Acoust. Aéronautique. Compiegne 14–16 nov. 1984. France.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer, Berlin Heidelberg
About this paper
Cite this paper
Hamdi, M.A., Jean, P. (1986). A Mixed Functional for the Numerical Resolution of Fluid-Structure Interaction Problems. In: Comte-Bellot, G., Williams, J.E.F. (eds) Aero- and Hydro-Acoustics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82758-7_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-82758-7_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82760-0
Online ISBN: 978-3-642-82758-7
eBook Packages: Springer Book Archive