When is a symmetric body-bar structure isostatic?

Guest, Simon and Schulze, Bernd and Whiteley, Walter (2010) When is a symmetric body-bar structure isostatic? International Journal of Solids and Structures, 47 (20). pp. 2745-2754. ISSN 0020-7683

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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 simply stated restrictions on the numbers of those structural components that are unshifted by the symmetry operations of the framework. We give some initial results, and conjectures, for when these conditions are also sufficient for rigidity.

Item Type: Journal Article
Journal or Publication Title: International Journal of Solids and Structures
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3104
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 63634
Deposited By: ep_importer_pure
Deposited On: 26 Apr 2013 10:01
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 08:24
URI: https://eprints.lancs.ac.uk/id/eprint/63634

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