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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-8pp.1477-1485

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M.Z. Dosaev and V.A. Samsonov, "Singularities in Dynamic Systems Involving Elastic Elements and Dry Friction," Mech. Solids. 56 (8), 1477-1485 (2021)
Year 2021 Volume 56 Number 8 Pages 1477-1485
DOI 10.3103/S0025654421080069
Title Singularities in Dynamic Systems Involving Elastic Elements and Dry Friction
Author(s) M.Z. Dosaev (Institute of Mechanics, Moscow State University, Moscow, 119192 Russia, dosayev@imec.msu.ru)
V.A. Samsonov (Institute of Mechanics, Moscow State University, Moscow, 119192 Russia)
Abstract Some features inherent in the behavior of a body with two elastic supports on a plane under conditions of dry friction are discussed. The equations of motion represent a dynamic system with a variable structure. A paradox consisting in the fact that no equilibrium conditions can be attained at a certain position of seemingly obvious equilibrium is revealed. The dry friction force cannot hold the body in this position. Motion, in the course of which one or both supports slip depending on the value of the friction coefficient is described.
Keywords elastic force, dry friction, dynamic system with variable structure
Received 10 December 2020Revised 31 January 2021Accepted 11 February 2021
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