On flat thin elastic rods with rapidly varying periodic characteristics |
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| Authors: | E. I. Kugushev D. I. Sabitov |
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| Affiliation: | (1) Department of Mechanical and Aerospace Engineering, University of Florida, 212 MAE-A, PO Box 116250, Gainesville, FL 32611-6250, USA;(2) Department of Biochemistry and Molecular Biology, University of Florida, Gainesville, FL 32611, USA |
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| Abstract: | ![]()
A thin elastic rod is considered on a plane. The free shape of the rod is described by a periodic curve. It is shown that, under constant loads, its equilibrium shape tends to the equilibrium shape of a thin rectilinear rod when the frequency of the function describing the free shape increases infinitely. The problem under study is solved on the basis of modeling the three-dimensional shapes of circular DNA molecules by a thin rectilinear elastic rod. |
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