Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks

Schulze, Bernd and Fowler, Patrick and Guest, Simon (2023) Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks. International Journal of Solids and Structures, 276: 112330. ISSN 0020-7683

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Abstract

We obtain symmetry-extended counting rules for the mobility of general plate-bar frameworks in configurations with non-trivial point-group symmetry. Necessary conditions for isostaticity of a symmetric rod-bar framework in 3-space are derived. An example shows that establishing sufficient conditions will require significant further development. A symmetry-extended counting rule is established for rod-clamp frameworks: plate-bar frameworks are clamped in such a way as to remove relative translations within clamped pairs. Worked examples showing the utility of the symmetry approach in detecting mechanisms and states of self-stress include an application to linear pentapods where a singular configuration is detected by symmetry.

Item Type:

Journal Article

Journal or Publication Title:

International Journal of Solids and Structures

Uncontrolled Keywords:

Research Output Funding/no_not_funded

Subjects:

?? no - not fundednomechanics of materialsmodelling and simulationgeneral materials sciencemechanical engineeringapplied mathematicscondensed matter physicsmaterials science(all) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

193696

Deposited By:

ep_importer_pure

Deposited On:

16 May 2023 08:45

Refereed?:

Yes

Published?:

Published

Last Modified:

23 Jun 2025 01:47

URI:

https://eprints.lancs.ac.uk/id/eprint/193696