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Some properties of rigidity mappings

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Abstract

The bounds of minimal rank of differentials of rigidity mappings are obtained. They depend on the structural scheme and on the positions of fastened points. Two hypotheses are introduced. One on presence in the set of minimal rank of the rigidity mapping of a construction with a zero-length lever. Another—on the unboundedness of the sets of constant rank of the rigidity mapping in the case of their positive dimension. In some cases these hypotheses are proved.

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  1. Bauman Moscow State Technical University, 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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Kovalev, M.D. Some properties of rigidity mappings. J Math Sci 149, 947–955 (2008). https://doi.org/10.1007/s10958-008-0036-x

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  • DOI: https://doi.org/10.1007/s10958-008-0036-x

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