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IssuesArchive of Issues2023-3pp.748-753

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A.A. Burov and V.I. Nikonov, "On the Relative Equilibria of a Heavy Bead on a Uniformly Rotating Rough Spoke," Mech. Solids. 58 (3), 748-753 (2023)
Year 2023 Volume 58 Number 3 Pages 748-753
DOI 10.3103/S0025654422600763
Title On the Relative Equilibria of a Heavy Bead on a Uniformly Rotating Rough Spoke
Author(s) A.A. Burov (Federal Research Center "Informatics and Control" of the Russian Academy of Sciences, Moscow, Russia, jtm@narod.ru)
V.I. Nikonov (Federal Research Center "Informatics and Control" of the Russian Academy of Sciences, Moscow, Russia, nikon_v@list.ru)
Abstract The movement of a heavy bead strung on a rough spoke, uniformly rotating around a vertical axis, is considered. Under the assumption that the spoke and the axis of rotation are crossed, the existence of sets of non-isolated relative equilibria of the bead and their dependence on parameters are studied. The problem is a natural generalization of the well-known Sommerfeld problem, which assumes that the spoke and the axis of rotation intersect.
Keywords relative equilibria, dry friction, uniformly rotating frame of reference, rough spoke, heavy bead
Received 21 April 2022Revised 29 June 2022Accepted 30 June 2022
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