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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 2691963, 10 pages
Research Article

Flexural-Torsional Flutter and Buckling of Braced Foil Beams under a Follower Force

1International Research Center on Mathematics and Mechanics of Complex Systems, University of L’Aquila, 67100 L’Aquila, Italy
2Department of Civil, Construction-Architectural and Environmental Engineering, University of L’Aquila, 67100 L’Aquila, Italy

Correspondence should be addressed to Angelo Luongo

Received 30 May 2017; Revised 13 August 2017; Accepted 24 August 2017; Published 12 October 2017

Academic Editor: Salvatore Caddemi

Copyright © 2017 Manuel Ferretti et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The flutter and buckling behavior of a cantilever foil beam, loaded at the tip by a follower force, are addressed in this paper. The beam is internally and externally damped and braced at the tip by a linear spring-damper device, which is located in an eccentric position with respect to beam axis, thus coupling the flexural and torsional behaviors. An exact linear stability analysis is carried out, and the linear stability diagram of the trivial rectilinear configuration is built up in the space of the follower load and spring’s stiffness parameters. The effects of the flexural-torsional coupling, as well as of the damping, on the flutter and buckling critical loads are discussed.