Journal
COMPUTERS & STRUCTURES
Volume 82, Issue 17-19, Pages 1413-1423Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2004.03.037
Keywords
non-linear vibrations; periodic; shooting; thin; thick; beam; plate
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The shooting, Newton and p-version, hierarchical finite element methods are applied to study geometrically non-linear periodic vibrations of elastic and isotropic, beams and plates. Thin and thick or first-order shear deformation theories are followed. One of the main goals of the work presented is to demonstrate that the methods suggested are highly adequate to analyse the periodic, forced non-linear dynamics of beam and plate structures. An additional purpose is to investigate the differences in the predictions of non-linear motions when thin and thick, either beam or plate theories are followed. To this ends response curves are derived, defining both stable and unstable solutions and the characteristics of the motions are investigated using time plots, phase planes and Fourier spectra. (C) 2004 Elsevier Ltd. All rights reserved.
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