Geometric theory of hinged devices
Izvestiya. Mathematics , Tome 44 (1995) no. 1, pp. 43-68
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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.
@article{IM2_1995_44_1_a2,
author = {M. D. Kovalev},
title = {Geometric theory of hinged devices},
journal = {Izvestiya. Mathematics },
pages = {43--68},
publisher = {mathdoc},
volume = {44},
number = {1},
year = {1995},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1995_44_1_a2/}
}
M. D. Kovalev. Geometric theory of hinged devices. Izvestiya. Mathematics , Tome 44 (1995) no. 1, pp. 43-68. http://geodesic.mathdoc.fr/item/IM2_1995_44_1_a2/