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Rigidity of octahedral tetrahedral trusses


Palmer, D and Row, D and Stee, R and Wotherspoon, SJ, Rigidity of octahedral tetrahedral trusses, Discrete Applied mathematics, 86, (2-3) pp. 249-262. ISSN 0166-218X (1998) [Refereed Article]

DOI: doi:10.1016/S0166-218X(98)00030-4


It is known that each octahedral-tetrahedral truss has at least one degree of freedom. We examine those that are relatively rigid, that is, that have exactly one degree of freedom. We include an automatic construction process of each relatively rigid truss that contains no hole. Necessary and sufficient conditions for a truss with one hole to be relatively rigid are derived. In the process of this characterisation we derive an analogue of the Three Axes Theorem of rigid-body mechanics. 1998 Published by Elsevier Science B.V. All rights reserved..

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Algebra and number theory
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Palmer, D (Mr David Palmer)
UTAS Author:Row, D (Dr Don Row)
UTAS Author:Stee, R (Mr Roy Stee)
UTAS Author:Wotherspoon, SJ (Dr Simon Wotherspoon)
ID Code:14965
Year Published:1998
Deposited By:Mathematics
Deposited On:1998-08-01
Last Modified:2011-08-09

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