Abstract
In this paper an analysis method for transient nonlinear fluid-structure interaction is presented. The fluid part of the problem is described in an ALE framework, where the incompressible Navier-Stokes equations are solved on a deforming domain to provide loading for the structure. The structure is handled in a flexible multibody framework, that has the advantage of having the gross motion described very efficiently when comparing to the use of a geometrically nonlinear finite element analysis for the structure. This combination of methodologies is particularly well suited for applications where the displacement of the structure can be described by small vibrations on top of very large rigid body motion. These types of problems can arise for instance in the analysis of wind turbine wings. Two small examples involving 2D flow are presented to illustrate the capabilities of the method proposed in this work.
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References
Ambrosio, J. A. and Goncalves, J. P., ‘Complex flexible multibody systems with application to vechicle dynamics’, Multibody System Dynamics 6(2), 2001, 163–182.
Ambrosio, J. A., ‘Dynamics of structures undergoing gross motion and nonlinear deformations: A multibody approach’, Computers & Structures 59(6), 1996, 1001–1012.
Ascher, U. M. and Petzold, L. R., Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, SIAM, 1998.
Bathe, K.-J., Finite Element Procedures, Prentice-Hall, Englewood Cliffs, NJ, 1996.
Belytschko, T., Liu, W. and Moran, B., Nonlinear Finite Elements for Continua and Structures, Wiley, New York, 2000.
Farhat, C. and Lesoinne, M., ‘Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems’, Computer Methods in Applied Mechanics and Engineering 182(3–4), 2000, 499–515.
IMSL. MATH/LIBRARY User’s Manual, Version 3.0, Visual Numerics, 1994.
Lund, E., Møller, H. and Jakobsen, L., ‘Shape optimization of fluid-structure interaction problems using two-equation turbulence models, in 43nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Meterials Conference and Exhibit, 22–25 April 2002, Denver Colorado, AIAA Paper No 2002–1478, 2002.
Møller, H., ‘Analysis and optimization for fluid-structure interaction problems’, Ph.D. thesis, Institute of Mechanical Engineering, Aalborg University, Denmark, Special Report No. 47, 2002.
Møller, H. and Lund, E., ‘Shape sensitivity analysis of strongly coupled fluid-structure interaction problems’, in Proc. 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, AIAA Paper No 2000–4823, 2000.
Zienkiewicz, O.C. and Taylor, R.L., The Finite Element Method, Solids and Fluid Mechanics, Dynamics and Non-linearity, 4th edn., Vol. 2., McGraw-Hill Book Company, 1991.
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MØller, H., Lund, E., Ambrósio, J.A.C. et al. Simulation of Fluid Loaded Flexible Multibody Systems. Multibody Syst Dyn 13, 113–128 (2005). https://doi.org/10.1007/s11044-005-2531-x
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DOI: https://doi.org/10.1007/s11044-005-2531-x