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When is a symmetric body-bar structure isostatic?

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>1/10/2010
<mark>Journal</mark>International Journal of Solids and Structures
Issue number20
Number of pages10
Pages (from-to)2745-2754
Publication StatusPublished
<mark>Original language</mark>English


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.