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Hardening/softening behavior and reduced order modeling of nonlinear vibrations of rotating cantilever beams

Article dans une revue avec comité de lecture
Author
THOMAS, Olivier
178374 Laboratoire des Sciences de l'Information et des Systèmes : Ingénierie Numérique des Systèmes Mécaniques [LSIS- INSM]
SÉNÉCHAL, Aurélien
12568 Laboratoire de Mécanique des Structures et des Systèmes Couplés [LMSSC]
DEU, Jean-François
12568 Laboratoire de Mécanique des Structures et des Systèmes Couplés [LMSSC]

URI
http://hdl.handle.net/10985/11330
DOI
10.1007/s11071-016-2965-0
Date
2016
Journal
Nonlinear Dynamics

Abstract

This work addresses the large amplitude nonlinear vibratory behavior of a rotating cantilever beam, with applications to turbomachinery and turbopropeller blades. The aim of this work is twofold. Firstly, we investigate the effect of rotation speed on the beam nonlinear vibrations and especially on the hardening/softening behavior of its resonances and the appearance of jump phenomena at large amplitude. Secondly, we compare three models to simulate the vibrations. The first two are based on analytical models of the beam, one of them being original. Those two models are discretized on appropriate mode basis and solve by a numerical following path method. The last one is based on a finite-element discretization and integrated in time. The accuracy and the validity range of each model are exhibited and analyzed.

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