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.
Domains
Engineering Sciences [physics] Mechanics [physics.med-ph] Mechanical engineering [physics.class-ph] Engineering Sciences [physics] Mechanics [physics.med-ph] Materials and structures in mechanics [physics.class-ph] Engineering Sciences [physics] Mechanics [physics.med-ph] Vibrations [physics.class-ph] Engineering Sciences [physics] Mechanics [physics.med-ph] Structural mechanics [physics.class-ph] Engineering Sciences [physics] Mechanics [physics.med-ph] Solid mechanics [physics.class-ph]
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