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Four-Bar Linkage: Reducibility of the Configuration Space and Transfer Function

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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.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    M. D. Kovalev

Authors
  1. M. D. Kovalev
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Correspondence to M. D. Kovalev.

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The author declares that he has no conflicts of interest.

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Translated by M. Chubarova

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Kovalev, M.D. Four-Bar Linkage: Reducibility of the Configuration Space and Transfer Function. Mech. Solids 56, 1550–1558 (2021). https://doi.org/10.3103/S0025654421080215

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  • DOI: https://doi.org/10.3103/S0025654421080215

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