WITHDRAWN: Dynamic stability of a size-dependent micro-beam

Talimian, Abbas; Béda, Péter B.

doi:10.1016/j.euromechsol.2018.04.020

Cited by 2 publications

(1 citation statement)

References 27 publications

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“…Beams and plates are present in various engineering systems and applications ranging from macro to micro scales (AkhavanAlavi et al, 2019;Ashoori Movassagh and Mahmoodi, 2013;Basutkar et al, 2019;Ghayesh et al, 2017;Gusella et al, 2019;Li et al, 2019;Mirsalehi et al, 2017;Mitchell and Gau, 2019;Nampally et al, 2019;Reddy et al, 2016;Rokni et al, 2015;Ruzziconi et al, 2013;Sadeghmanesh et al, 2019;Talimian and Béda, 2018;Wang et al, 2011;Xu and Deng, 2016;Zhang et al, 2013). Cantilevered beams are commonly subject to base excitations in axial, transverse, or both directions.…”

Section: Introductionmentioning

confidence: 99%

Extremely large-amplitude dynamics of cantilevers under coupled base excitation

Farokhi

Ghayesh

2020

European Journal of Mechanics - A/Solids

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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.

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