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Erschienen in:
2023 | OriginalPaper | Buchkapitel
35. Nonlinear Modes of Cantilever Beams at Extreme Amplitudes: Numerical Computation and Experiments
verfasst von : Marielle Debeurre, Aurélien Grolet, Pierre-Olivier Mattei, Bruno Cochelin, Olivier Thomas
Erschienen in: Nonlinear Structures & Systems, Volume 1
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Abstract
A novel method for the numerical computation of the nonlinear normal modes (NNMs) of a highly flexible cantilever beam is presented. The flexible cantilever is modeled using a 2D finite element discretization of the geometrically exact beam model, wherein geometric nonlinearities relating to the rotation are kept entirely intact. The model is then solved using the proposed solution method, which is fully frequency domain-based and involves a novel combination of a harmonic balance (HBM) Fourier expansion with asymptotic numerical (ANM) continuation for periodic solutions. The NNMs are also calculated experimentally using a flexible cantilever specimen mounted to a shaker table. The experimental NNMs can be compared to their numerical counterparts in order to validate the frequency domain numerical technique.