Stability and Bifurcations in Three-Dimensional Analysis of Axially Moving Beams

Ghayesh, Mergen H., Amabili, Marco and Farokhi, Hamed (2013) Stability and Bifurcations in Three-Dimensional Analysis of Axially Moving Beams. In: ASME 2013 - International Mechanical Engineering Congress and Exposition, 15th - 21st November 2013, San Diego, USA.

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Abstract

The geometrically nonlinear dynamics of a three-dimensional axially moving beam is investigated numerically for both sub and supercritical regimes. Hamilton's principle is employed to derive the equations of motion for in-plane and out-of plane displacements. The Galerkin scheme is applied to the nonlinear partial differential equations of motion yielding a set of second-order nonlinear ordinary differential equations with coupled terms. The pseudo-arclength continuation technique is employed to solve the discretized equations numerically so as to obtain the nonlinear resonant responses; direct time integration is conducted to obtain the bifurcation diagrams of the system. The results are presented in the form of the frequency-response curves, bifurcation diagrams, time histories, phase-plane portraits, and fast Fourier transforms for different sets of system parameters.

Item Type:	Conference or Workshop Item (Paper)
Subjects:	H300 Mechanical Engineering
Department:	Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User:	Paul Burns
Date Deposited:	31 Aug 2018 09:52
Last Modified:	11 Oct 2019 19:30
URI:	http://nrl.northumbria.ac.uk/id/eprint/35536

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