Nonlinear Dynamical Behavior of Axially Accelerating Beams: Three-Dimensional Analysis

Ghayesh, Mergen H. and Farokhi, Hamed (2016) Nonlinear Dynamical Behavior of Axially Accelerating Beams: Three-Dimensional Analysis. Journal of Computational and Nonlinear Dynamics, 11 (1). 011010. ISSN 1555-1415

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Official URL: http://dx.doi.org/10.1115/1.4029905

Abstract

The three-dimensional (3D) nonlinear dynamics of an axially accelerating beam is examined numerically taking into account all of the longitudinal, transverse, and lateral displacements and inertia. Hamilton's principle is employed in order to derive the nonlinear partial differential equations governing the longitudinal, transverse, and lateral motions. These equations are transformed into a set of nonlinear ordinary differential equations by means of the Galerkin discretization technique. The nonlinear global dynamics of the system is then examined by time-integrating the discretized equations of motion. The results are presented in the form of bifurcation diagrams of Poincaré maps, time histories, phase-plane portraits, Poincaré sections, and fast Fourier transforms (FFTs).

Item Type: Article
Uncontrolled Keywords: Bifurcation , Poincaré maps
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 24 Aug 2018 11:09
Last Modified: 24 Aug 2018 11:09
URI: http://nrl.northumbria.ac.uk/id/eprint/35478

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