Chaotic Analysis of Dynamic Bifurcation of Viscoelastic Shallow Arches

by Engin Karaesmen, Middle East Technical Univ, Ankara, Turkey,
Levent Ileri, Middle East Technical Univ, Ankara, Turkey,
Nuri Akkaş, Middle East Technical Univ, Ankara, Turkey,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


Periodic and chaotic motions in a mathematical model of an imperfect, viscoelastic shallow arch under a dynamic sinusoidal load for both the symmetric and the coupled unsymmetric responses are studied by computer simulation. The results for the critical values of the model parameters where the system is found to exhibit chaotic behaviour are presented. Chaotic motions are illustrated by means of time history, phase portrait and Poincare map. The presence of loss of longterm time evolution predictability is shown.

Subject Headings: Dynamic analysis | Computer models | Bifurcations | Viscoelasticity | Arches | Dynamic structural analysis | Motion (dynamics) | Mathematical models

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