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Rigidity of octahedral tetrahedral trusses

journal contribution
posted on 2023-05-16, 11:24 authored by Palmer, D, Row, D, Stee, R, Wotherspoon, SJ
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..

History

Publication title

Discrete Applied mathematics

Volume

86

Issue

2-3

Pagination

249-262

ISSN

0166-218X

Department/School

School of Natural Sciences

Publisher

Elsevier Science Bv

Place of publication

Canada

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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