Three-Dimensional Nonlinear Global Dynamics of Axially Moving Viscoelastic Beams

Farokhi, Hamed, Ghayesh, Mergen H. and Hussain, Shahid (2016) Three-Dimensional Nonlinear Global Dynamics of Axially Moving Viscoelastic Beams. Journal of Vibration and Acoustics, 138 (1). 011007. ISSN 0739-3717

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Abstract

The three-dimensional nonlinear global dynamics of an axially moving viscoelastic beam is investigated numerically, retaining longitudinal, transverse, and lateral displacements and inertia. The nonlinear continuous model governing the motion of the system is obtained by means of Hamilton's principle. The Galerkin scheme along with suitable eigenfunctions is employed for model reduction. Direct time-integration is conducted upon the reduced-order model yielding the time-varying generalized coordinates. From the time histories of the generalized coordinates, the bifurcation diagrams of Poincaré sections are constructed by varying either the forcing amplitude or the axial speed as the bifurcation parameter. The results for the three-dimensional viscoelastic model are compared to those of a three-dimensional elastic model in order to better understand the effect of the internal energy dissipation mechanism on the dynamical behavior of the system. The results are also presented by means of time histories, phase-plane diagrams, and fast Fourier transforms (FFT).

Item Type:	Article
Uncontrolled Keywords:	Dynamics (Mechanics), Bifurcation, Energy dissipation, Internal energy (Physics)
Subjects:	H300 Mechanical Engineering
Department:	Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User:	Paul Burns
Date Deposited:	24 Aug 2018 10:58
Last Modified:	11 Oct 2019 19:30
URI:	http://nrl.northumbria.ac.uk/id/eprint/35476

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