When is a symmetric body-hinge structure isostatic?

When is a symmetric body-hinge structure isostatic?

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 symmetr...

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Bibliographic Details
Published in:International journal of solids and structures Vol. 51; no. 11-12; pp. 2157 - 2166
Main Authors: Schulze, Bernd, Guest, Simon D., Fowler, Patrick W.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-06-2014
Subjects:
Body-hinge structure
Construction
Counting
Exploration
Isostatic
Molecular framework
Molecular structure
Rigidity
Scalars
Symmetry
Body-hinge structure
Molecular framework
Rigidity
Symmetry
Isostatic
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Description
Summary: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’.
Bibliography:ObjectType-Article-2
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ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2014.02.018