Nonlinear Modes of Cantilever Beams at Extreme Amplitudes: Numerical Computation and Experiments - Archive ouverte HAL Access content directly
Conference Papers Year : 2022

Nonlinear Modes of Cantilever Beams at Extreme Amplitudes: Numerical Computation and Experiments

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.
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Dates and versions

hal-04134881 , version 1 (20-06-2023)

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Marielle Debeurre, Aurélien Grolet, Pierre-Olivier Mattei, Bruno Cochelin, Olivier Thomas. Nonlinear Modes of Cantilever Beams at Extreme Amplitudes: Numerical Computation and Experiments. 40th IMAC, A Conference and Exposition on Structural Dynamics, Society for Experimental Mechanics, Feb 2022, Orlando (FL), United States. pp.245-248, ⟨10.1007/978-3-031-04086-3_35⟩. ⟨hal-04134881⟩
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