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Model order reduction for geometrically nonlinear beams featuring internal resonance and centrifugal effect

Abstract

The direct parametrisation of invariant manifold is used for model order reduction of large amplitude vibrations of clampedclamped and rotating cantilever beams. A particular emphasis is set on the computation of the backbone curve in case of internal resonance. For the clamped beam, the 1:5 resonance between first and third mode occuring at large amplitude, is reproduced with the model. For the rotating cantilever, a Campbell diagram is first used to detect the appearance of a 1:5 resonance, which is then computed with the reduction method.
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Dates and versions

hal-03738441 , version 1 (26-07-2022)

Identifiers

  • HAL Id : hal-03738441 , version 1

Cite

Adrien Martin, Andrea Opreni, Alessandra Vizzaccaro, Loic Salles, Attilio Alberto Frangi, et al.. Model order reduction for geometrically nonlinear beams featuring internal resonance and centrifugal effect. ENOC 2022 - 10th European Nonlinear Dynamics Conference, ENTPE - Université de Lyon, Jul 2022, Lyon, France. ⟨hal-03738441⟩
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