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Sbornik: Mathematics, 2004, Volume 195, Issue 6, Pages 833–858
DOI: https://doi.org/10.1070/SM2004v195n06ABEH000827
(Mi sm827)
 

This article is cited in 5 scientific papers (total in 5 papers)

Straightened hinged frameworks

M. D. Kovalev

N. E. Bauman Moscow State Technical University
References:
Abstract: The properties of systems of pairwise distances between points thrown into a Euclidean space have been poorly studied to date. These properties are described in terms of a map called the “edge function” (the “rigidity mapping”) and defining the behaviour of actual frameworks of levers and hinges. The simplest non-trivial case is that of rigidity mappings corresponding to plane frameworks (hingers) all fastened hinges of which lie on one straight line. In this paper rigidity mappings are investigated and examples of such straightened hingers with peculiar properties are presented.
Received: 08.02.2002 and 24.03.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 6, Pages 71–98
DOI: https://doi.org/10.4213/sm827
Bibliographic databases:
UDC: 514+531.8
MSC: Primary 51K99, 70B15; Secondary 70B10, 53A17
Language: English
Original paper language: Russian
Citation: M. D. Kovalev, “Straightened hinged frameworks”, Mat. Sb., 195:6 (2004), 71–98; Sb. Math., 195:6 (2004), 833–858
Citation in format AMSBIB
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\by M.~D.~Kovalev
\paper Straightened hinged frameworks
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\issue 6
\pages 71--98
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Linking options:
  • https://www.mathnet.ru/eng/sm827
  • https://doi.org/10.1070/SM2004v195n06ABEH000827
  • https://www.mathnet.ru/eng/sm/v195/i6/p71
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:605
    Russian version PDF:249
    English version PDF:20
    References:64
    First page:1
     
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