Extremely large dynamics of axially excited cantilevers

Ghayesh, Mergen H. and Farokhi, Hamed (2019) Extremely large dynamics of axially excited cantilevers. Thin-Walled Structures. ISSN 0263-8231 (In Press)

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Abstract

The nonlinear parametric resonance of a cantilever under axial base excitation is examined while capturing extremely large oscillation amplitudes for the first time. A geometrically exact model is developed for the cantilever based on the Euler-Bernoulli beam theory and inextensibility condition. In order to be able to capture extremely large oscillation amplitudes accurately, the equation of motion is derived for centreline rotation while keeping trigonometric terms intact. The developed model is verified for the static case through comparison to a three-dimensional nonlinear finite element model. The internal energy dissipation model of Kelvin-Voigt is used to model the system damping in large amplitudes more accurately. The Galerkin modal decomposition scheme is utilised for discretisation procedure while keeping the trigonometric terms intact. It is shown that in parametric resonance region, the oscillation amplitudes grow extremely large even for smallest possible amplitudes of the base excitation, which highlights the significant importance of employing a geometrically exact model to examine the parametric resonance response of a cantilever.

Item Type: Article
Uncontrolled Keywords: Cantilever; Parametric resonance; Extremely large oscillation; Kelvin-Voigt; Geometrically exact model
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 30 Aug 2019 10:47
Last Modified: 11 Oct 2019 12:47
URI: http://nrl.northumbria.ac.uk/id/eprint/40469

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