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This article is cited in 19 scientific papers (total in 19 papers)
Geometric theory of hinged devices
M. D. Kovalev
Abstract:
This article contains results connected with engineering mechanics. Among them are: a theorem “on the nonuniqueness of a statically determinable truss”, a classification of hinged mechanisms and their schemes, and an example of a hinged mechanism with variable number of degrees of freedom. The study of general geometric properties is based on the concept, introduced here, of an abstract hinged device in $\mathbf R^d$. This concept formalizes a well-known approach in the theory of mechanisms. The formalization gives rise to a number of interesting mathematical questions.
Received: 26.05.1992
Citation:
M. D. Kovalev, “Geometric theory of hinged devices”, Izv. RAN. Ser. Mat., 58:1 (1994), 45–70; Russian Acad. Sci. Izv. Math., 44:1 (1995), 43–68
Linking options:
https://www.mathnet.ru/eng/im815https://doi.org/10.1070/IM1995v044n01ABEH001591 https://www.mathnet.ru/eng/im/v58/i1/p45
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Abstract page: | 1144 | Russian version PDF: | 1032 | English version PDF: | 45 | References: | 73 | First page: | 2 |
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