Extremely large-amplitude dynamics of cantilevers under coupled base excitation

Farokhi, Hamed and Ghayesh, Mergen H. (2020) Extremely large-amplitude dynamics of cantilevers under coupled base excitation. European Journal of Mechanics - A/Solids, 81. p. 103953. ISSN 0997-7538

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Official URL: https://doi.org/10.1016/j.euromechsol.2020.103953

Abstract

Extremely large-amplitude nonlinear dynamics of a cantilever with a mass at the tip under coupled base excitations is examined for the first time. An exact model of the centreline rotation of the cantilever is developed capable of accurately predicting the cantilever dynamic response even at extremely large amplitudes; a nonlinear static finite element analysis is conducted to verify the accuracy of the proposed model at very large deflection amplitudes. The proposed model is based on the theory of Euler-Bernoulli and the internal damping model of Kelvin-Voigt; the centreline of the cantilever is assumed to remain inextensible. The proposed model for the cantilever centreline rotation is discretised via the Galerkin modal decomposition method while keeping all terms exact. Extensive numerical simulations are conducted to examine the primary and parametric resonance of the cantilever due to transverse and axial base excitations, respectively. It is shown that under the same axial and transverse amplitudes of excitation, the parametric resonance is much stronger than the primary resonance.

Item Type: Article
Uncontrolled Keywords: Extremely large amplitude dynamics, Cantilever, Coupled base excitation, Primary and parametric resonances, Kelvin-Voigt
Subjects: H600 Electronic and Electrical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Andrew Grogan
Date Deposited: 13 Feb 2020 16:16
Last Modified: 10 Mar 2020 10:15
URI: http://nrl.northumbria.ac.uk/id/eprint/42080

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