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
Full text not available from this repository.Abstract
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.