Conservative spatial chaos of buckled elastic linkages.
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.
Kocsis
Attila
A
Department of Structural Mechanics, Budapest University of Technology and Economics, Muegyetem rkp. 3., H-1111 Budapest, Hungary. kocsis@ep-mech.me.bme.hu
Károlyi
György
G
D000465:Algorithms; D001703:Biophysics / Q000379:methods; D003198:Computer Simulation; D004247:DNA / Q000737:chemistry; D004548:Elasticity; D019277:Entropy; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011108:Polymers / Q000737:chemistry; D013598:Systems Theory
D011108:Polymers; D004247:DNA