Conservative spatial chaos of buckled elastic linkages |
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Authors: | Kocsis Attila Károlyi György |
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Institution: | Department of Structural Mechanics, Budapest University of Technology and Economics, Muegyetem rkp. 3., H-1111 Budapest, Hungary. kocsis@ep-mech.me.bme.hu |
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Abstract: | Buckling of an elastic linkage under general loading is investigated. We show that buckling is related to an initial value problem, which is always a conservative, area-preserving mapping, even if the original static problem is nonconservative. In some special cases, we construct the global bifurcation diagrams, and argue that their complicated structure is a consequence of spatial chaos. We characterize spatial chaos by the associated initial value problem's topological entropy, which turns out to be related to the number of buckled configurations. |
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