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Authors
Advisor(s)
Abstract(s)
The geometrically non-linear, linear elastic, oscillations of composite laminated plates
are studied in the time domain by direct numeric integration of the equations of motion.
A p-version finite element, where first-order shear deformation is followed and that was
recently proposed for moderately thick plates, is employed to define the mathematical
model. By applying transverse harmonic forces, the variation of the oscillations with the
angle of the fibres is investigated. With this kind of excitation, only periodic motions
with a period equal to the one of the excitation are found. However, introducing in-plane
forces, m-periodic or quasi-periodic oscillations, as well as chaotic oscillations are
computed. The existence of chaos is confirmed by calculating the largest Lyapunov
exponent.
Description
Keywords
Laminated plates P-version Non-linear Dynamics Chaos
Citation
Ribeiro, P., & Duarte, R. P. (2006). From periodic to chaotic oscillations in composite laminated plates. Computers & Structures, 84(24), 1629–1639. https://doi.org/10.1016/j.compstruc.2005.12.006
Publisher
Elsevier