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  • stresses_symmetry_revised

    Rights statement: This is the author’s version of a work that was accepted for publication in International Journal of Solids and Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Solids and Structures, 234-235, 2021 DOI: 10.1016/j.ijsolstr.2021.111238

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    Embargo ends: 31/08/22

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States of self-stress in symmetric frameworks and applications

Research output: Contribution to journalJournal articlepeer-review

E-pub ahead of print
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Article number111238
<mark>Journal publication date</mark>31/08/2021
<mark>Journal</mark>International Journal of Solids and Structures
Volume234-235
Publication StatusE-pub ahead of print
Early online date31/08/21
<mark>Original language</mark>English

Abstract

We use the symmetry-extended Maxwell rule established by Fowler and Guest to detect states of self-stress in symmetric planar frameworks. The dimension of the space of self-stresses that are detectable in this way may be expressed in terms of the number of joints and bars that are unshifted by various symmetry operations of the framework. Therefore, this method provides an efficient tool to construct symmetric frameworks with many ‘fully-symmetric’ states of self-stress, or with ‘anti-symmetric’ states of self-stress. Maximising the number of independent self-stresses of a planar framework, as well as understanding their symmetry properties, has important practical applications, for example in the design and construction of gridshells. We show the usefulness of our method by applying it to some practical examples.

Bibliographic note

This is the author’s version of a work that was accepted for publication in International Journal of Solids and Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Solids and Structures, 234-235, 2021 DOI: 10.1016/j.ijsolstr.2021.111238