Abstract
The chaotic nature of the trajectories in a mapping related to a discrete structural link model is quantified using the numerical techniques of fractal analysis. The results presented are for localized buckling (homoclinic) solutions for a rigid link model supported by linear-elastic springs, which has been shown to be of importance to problems in elastic instability analysis. This type of study complements work which has already been done in the structural domain of an analytical nature. It demonstrates that localized solutions form part of a chaotic régime. The nature of the phase-space maps presented herein is found to be that of a fat fractal which has a definite non-zero area (or measure) unlike, for example, the Cantor set which has zero measure.
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