When is a symmetric body-hinge structure isostatic?

Schulze, B and Guest, SD and Fowler, PW (2014) When is a symmetric body-hinge structure isostatic? International Journal of Solids and Structures, 51. pp. 2157-2166. ISSN 0020-7683

Abstract

A symmetry-extended mobility rule is formulated for body-hinge frameworks and used to derive necessary symmetry conditions for isostatic (statically and kinematically indeterminate) frameworks. Constructions for symmetric body-hinge frameworks with an isostatic scalar count are reported, and symmetry counts are used to examine these structures for hidden, symmetry-detectable mechanisms. Frameworks of this type may serve as examples for exploration of a symmetry extension of the (now proven) 'molecular conjecture'. © 2014 Elsevier Ltd. All rights reserved.