Edge flutter of long beams under follower loads - ENSTA Paris - École nationale supérieure de techniques avancées Paris Accéder directement au contenu
Article Dans Une Revue Journal of Mechanics of Materials and Structures Année : 2015

Edge flutter of long beams under follower loads

Résumé

The linear instability of a beam tensioned by its own weight is considered. It is shown that for long beams, in the sense of an adequate dimensionless parameter, the characteristics of the instability caused by a follower force do not depend on the length. The asymptotic regime significantly differs from that of short beams: flutter prevails for all types of follower loads, and flutter is localized at the edge of the beam. An approximate solution using matched assymptotic expansion is proposed for the case of a semi-infinite beam. Using a local criterion based on the stability of waves, the characteristics of this regime as well as its range of application can be well predicted. These results are finally discussed in relation with cases of flow-induced instabilities of slender structures.
Fichier principal
Vignette du fichier
1501.04766.pdf (207.07 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01215303 , version 1 (13-10-2015)

Identifiants

Citer

Emmanuel de Langre, Olivier Doaré. Edge flutter of long beams under follower loads. Journal of Mechanics of Materials and Structures, 2015, 10 (3), pp.283-297. ⟨10.2140/jomms.2015.10.283⟩. ⟨hal-01215303⟩
141 Consultations
152 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More