Abstract
A pure interface coupling formulation is developed for time domain analysis of coupled fluid-structure systems. Finite elements are applied to model the structure as an elastic continuum, while the fluid region is modeled as an acoustic media by the Boundary Element Method. The coefficient matrices for the fluid-structure interface are determined by applying unit impulses at the boundary of the fluid regions using the concept of Duhamel integrals, which are numerically approximated by means of the Convolution Quadrature Method. The proposed approach, greatly simplifies the assembly of sub-regions and the coupling to finite elements. The stability and accuracy of the proposed method are verified on some selected numerical examples.
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References
Antes H (1988) Anwendungen der Methode der Randelemente in der Elasto- und Flu- iddynamik. Mathematische Methoden in der Ingenieurtechnik, Teubner Verlag, Germany.
Banerjee PK (1993) The Boundary Element Methods in Engineering. McGraw-Hill, London.
Beer G (2001) Programming the Boundary Element Method, Wiley, New York.
Beskos DE (1987) Boundary element methods in dynamic analysis. Appl Mech Rev 40:1–23.
Beskos DE (1997) Boundary element methods in dynamic analysis. Part II (1986–1996). Appl Mech Rev 50:149–197.
Clough RW, Penzien J (1993) Dynamics of Structures. McGraw-Hill, London.
Dominguez J (1993) Boundary elements in dynamics. Computational Mechanics Publications, Southampton, UK.
Estorff O von, Antes H (1991) On FEM-BEM coupling for fluid-structure interaction analyses in the time domain. Int. J. for Num. Meth. in Engg. 31:1151–1168.
Hackbusch W, Kress W, Sauter SA (2005) Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation. Preprint 116/2005, Max Planck Institute for Mathematics in the Sciences, Leipzig, December 2005.
Lie ST, Yu G (2001) Multi-domain fluid-structure interaction analysis with a stable time domain BEM/FEM coupling procedure. Engineering Computations 19:6–21.
Lubich Ch (1988) Convolution quadrature and discretized operational calculus I. Numerische Mathematik 52:129–145.
Moser W (2005) Transient coupled BEM-BEM and BEM-FEM analyses. PhD thesis TUGraz, Austria.
Newmark NM (1959) A method of computation for structural dynamics. ASCE J Eng Mech Div 85:67–94.
Schanz M (2001) Wave propagation in viscoelastic and poroelastic continua. Springer-Verlag, Berlin, Germany.
Yu GY, Lie ST, Fan SC (2002) Stable boundary element method/finite element method procedure for dynamic fluid-structure interaction. ASCE J Eng Mech 128:909–915.
Zienkiewicz OC, Bettess P (1978) Fluid-structure dynamic interaction and wave forces. An introduction to numerical treatment. Int. J. for Num. Meth. in Engg. 13:1–16.
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Pereira, A., Beer, G. (2009). Fluid-Structure Interaction by a Duhamel-BEM / FEM Coupling. In: Manolis, G.D., Polyzos, D. (eds) Recent Advances in Boundary Element Methods. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9710-2_22
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DOI: https://doi.org/10.1007/978-1-4020-9710-2_22
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-9709-6
Online ISBN: 978-1-4020-9710-2
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