A symmetry extension of Maxwell's rule for rigidity of frames

Authors
Fowler, PW Guest, SD
Citation
Pw. Fowler et Sd. Guest, A symmetry extension of Maxwell's rule for rigidity of frames, INT J SOL S, 37(12), 2000, pp. 1793-1804
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
ISSN journal
00207683 → ACNP
Volume
37
Issue
12
Year of publication
2000
Pages
1793 - 1804
Database
ISI
SICI code
0020-7683(200003)37:12<1793:ASEOMR>2.0.ZU;2-K
Abstract
A symmetry extension of Maxwell's rule for rigidity of frames is found. Thi s rule subsumes and strengthens Maxwell's 1864 rule by requiring that the i nternal and external degrees of freedom of a pin-jointed structure are not only numerically equal, but are also equisymmetric, A number of special cas es of Maxwell's original rule are studied to show the improved insight that the symmetry-adapted version can give. (C) 1999 Elsevier Science Ltd. All rights reserved.