Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

On the application of asymptotic reduction methods of slender structures to fluid-structure interaction problems

Carlos E.S. Cesnik*, Rafael Palacios
Department of Aerospace Engineering, University of Michigan, 1320 Beal Avenue, Ann Arbor, Michigan, MI 48109, USA

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ABSTRACT
A methodology for the aeroelastic analysis of highly flexible slender structures is presented. The structural model is based on an asymptotic approximation to the displacement field, which separates the problem into a long-scale problem involving geometrically-nonlinear deformations of the reference line and a small-scale problem that captures deformation in the cross section. The combination of them provides a three-dimensional solution to the structural dynamics of flexible vehicles suitable for aeroelastic simulations.

Keywords:  Slender structures; Asymptotic methods; Fluid-structure interaction

* Corresponding author. Tel.: +1 (734) 764 3397; Fax: + 1 (734) 763 0978; E-mail: cesnik@umich.edu