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Russian Academy of Sciences
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IssuesArchive of Issues2013-3pp.338-345

Archive of Issues

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Yu. I. Dorogov, "The stability of the shape of an unattached elastic rod with stiff flanges on its ends," J. Appl. Math. Mech. 77 (3), 338-345 (2013)
Year 2013 Volume 77 Issue 3 Pages 338-345
Title The stability of the shape of an unattached elastic rod with stiff flanges on its ends
Author(s) Yu. I. Dorogov (Volzhskii, Russia, ydorogov@yandex.ru)
Abstract The stability of an unattached column consisting of an elastic rod with stiff flanges on its ends under longitudinal compression is investigated. The load under which the plane of the flange surface is tilted from the plane of the support surface is found. This tilting is accompanied by considerable rotation (reversing) of the flanges and corresponding bending of the rod axis. Abrupt replacement of the rectilinear or bent equilibrium shape by an equilibrium shape that is non-contiguous to it occurs. It is established that the columns behave differently when this a change in the equilibrium shape occurs, depending on the ratio of the length of the rod to the length of the flanges.
Received 9 September 2011
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892813001093
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