Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - When is a symmetric body-hinge structure isostatic?
AU - Schulze, Bernd
AU - Guest, Simon
AU - Fowler, Patrick
PY - 2014/6/1
Y1 - 2014/6/1
N2 - 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’.
AB - 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’.
KW - Symmetry
KW - Rigidity
KW - Isostatic
KW - Body-hinge structure
KW - Molecular framework
U2 - 10.1016/j.ijsolstr.2014.02.018
DO - 10.1016/j.ijsolstr.2014.02.018
M3 - Journal article
VL - 51
SP - 2157
EP - 2166
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 11-12
ER -