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When is a symmetric body-hinge structure isostatic?

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<mark>Journal publication date</mark>1/06/2014
<mark>Journal</mark>International Journal of Solids and Structures
Issue number11-12
Volume51
Number of pages10
Pages (from-to)2157-2166
Publication StatusPublished
<mark>Original language</mark>English

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’.