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This article is cited in 1 scientific paper (total in 1 paper)
Configuration spaces of hinged mechanisms, and their projections
M. D. Kovalev Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Abstract:
Our subject is the geometry of planar hinged mechanisms. The article contains a formalization of basic concepts of the theory of hinged-lever constructions, as well as some information from real algebraic geometry needed for their study. We consider mechanisms with variable number of degrees of freedom and mechanisms that have more than one degree of freedom but each hinge of which moves with one degree of freedom. For the last type we find the dimension of the configuration space. We give a number of examples of mechanisms with unusual geometric properties and formulate open questions.
Bibliography: 17 titles.
Keywords:
hinged mechanism, configuration space, reducibility, dimension.
Received: 25.12.2020 and 16.12.2021
Citation:
M. D. Kovalev, “Configuration spaces of hinged mechanisms, and their projections”, Mat. Sb., 213:4 (2022), 74–99; Sb. Math., 213:4 (2022), 512–533
Linking options:
https://www.mathnet.ru/eng/sm9542https://doi.org/10.1070/SM9542 https://www.mathnet.ru/eng/sm/v213/i4/p74
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Abstract page: | 249 | Russian version PDF: | 52 | English version PDF: | 36 | Russian version HTML: | 145 | References: | 39 | First page: | 8 |
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