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On Equally and Completely Stressed Linkages

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Abstract

Examples of planar mechanical linkages admitting constant stresses of all their levers during their movement and having variable angles between each pair of adjacent levers are given. Structural schemes of these mechanisms are complete bipartite graphs.

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Notes

  1. Geometers speak of bending capability of a structure.

  2. If in any continuous motion of hinges preserving the lever lengths we obtain a structure isometric to the original one, then the original structure is called unbendable.

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Authors and Affiliations

  1. Chair of Discrete Mathematics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    M. D. Kovalev

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

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Translated by E. Oborin

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Kovalev, M.D. On Equally and Completely Stressed Linkages. Moscow Univ. Math. Bull. 77, 86–88 (2022). https://doi.org/10.3103/S0027132222020061

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  • DOI: https://doi.org/10.3103/S0027132222020061

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