Title: Quadruply coupled linear free vibrations of thin-walled beams with a generic open section
Authors: Chen, Hong Hu
Hsiao, Kuo Mo
Department of Mechanical Engineering
Keywords: natural frequency;coupled vibration;thin-walled beam;finite element method
Issue Date: 1-May-2008
Abstract: The coupled vibration of thin-walled beams with a generic open section induced by the boundary conditions is investigated using the finite element method. If the axial displacement of the pin end is restrained at another point rather than the centroid of the asymmetric cross section, the axial vibration, two bending vibrations, and torsional vibration may be all coupled. The element developed here has two nodes with seven degrees of freedom per node. The shear center axis is chosen to be the reference axis and the element nodes are chosen to be located at the shear centers of the end cross sections of the beam element. Different sets of element nodal degrees of freedom corresponding to different pin ends are considered here. The relation between element matrices referred to different sets of element nodal degrees of freedom is derived. Numerical examples are presented to demonstrate the accuracy of the proposed method and to investigate the effects of different pin ends on the coupled vibrations of the thin-wall beam. (C) 2007 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.engstruct.2007.07.004
ISSN: 0141-0296
DOI: 10.1016/j.engstruct.2007.07.004
Volume: 30
Issue: 5
Begin Page: 1319
End Page: 1334
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