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When is a symmetric body-hinge structure isostatic?

โœ Scribed by Schulze, Bernd; Guest, Simon D.; Fowler, Patrick W.

Book ID
122067891
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
795 KB
Volume
51
Category
Article
ISSN
0020-7683

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๐Ÿ“œ SIMILAR VOLUMES

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Body-bar frameworks provide a special class of frameworks which are well understood generically, with a full combinatorial theory for rigidity. Given a symmetric body-bar framework, this paper exploits group representation theory to provide necessary conditions for rigidity in the form of very simpl

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a b s t r a c t Maxwell's rule from 1864 gives a necessary condition for a framework to be isostatic in 2D or in 3D. Given a framework with point group symmetry, group representation theory is exploited to provide further necessary conditions. This paper shows how, for an isostatic framework, these