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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-8pp.1550-1558

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M.D. Kovalev, "Four-Bar Linkage: Reducibility of the Configuration Space and Transfer Function," Mech. Solids. 56 (8), 1550-1558 (2021)
Year 2021 Volume 56 Number 8 Pages 1550-1558
DOI 10.3103/S0025654421080215
Title Four-Bar Linkage: Reducibility of the Configuration Space and Transfer Function
Author(s) M.D. Kovalev (Moscow State University, Moscow, Russia, mdkovalev@mtu-net.ru)
Abstract An ideal planar four-bar linkage with rotating joints is considered. Its configuration space is studied from the algebraic geometry point of view. On this basis, we classify configuration spaces of such mechanisms. The relationship between the transfer function of a mechanism and the reducibility of its configuration space as an algebraic set is studied. We prove a theorem on the unique up to similarity determination of a four-bar mechanism with an irreducible configuration space by its transfer function.
Keywords planar four-bar linkage, configuration space, transfer function, reducibility of an algebraic set
Received 23 November 2020Revised 13 August 2021Accepted 23 November 2021
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