Home > Research > Publications & Outputs > Symmetry-extended mobility counting for plate-b...

Research

Electronic data

  • plate-bar_IJSS_46 - unmarked

    Accepted author manuscript, 19.8 MB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

Links

Text available via DOI:

View graph of relations

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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks. / Schulze, Bernd; Fowler, Patrick; Guest, Simon.
In: International Journal of Solids and Structures, Vol. 276, 112330, 01.08.2023.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Schulze, B, Fowler, P & Guest, S 2023, 'Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks', International Journal of Solids and Structures, vol. 276, 112330. https://doi.org/10.1016/j.ijsolstr.2023.112330

APA

Schulze, B., Fowler, P., & Guest, S. (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, Article 112330. https://doi.org/10.1016/j.ijsolstr.2023.112330

Vancouver

Schulze B, Fowler P, Guest S. Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks. International Journal of Solids and Structures. 2023 Aug 1;276:112330. Epub 2023 May 27. doi: 10.1016/j.ijsolstr.2023.112330

Author

Schulze, Bernd ; Fowler, Patrick ; Guest, Simon. / Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks. In: International Journal of Solids and Structures. 2023 ; Vol. 276.

Bibtex

@article{3b7729da1ea24387bb7299d8bab90bef,
title = "Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks",
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.",
author = "Bernd Schulze and Patrick Fowler and Simon Guest",
year = "2023",
month = aug,
day = "1",
doi = "10.1016/j.ijsolstr.2023.112330",
language = "English",
volume = "276",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",

}

RIS

TY - JOUR

T1 - Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks

AU - Schulze, Bernd

AU - Fowler, Patrick

AU - Guest, Simon

PY - 2023/8/1

Y1 - 2023/8/1

N2 - 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.

AB - 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.

U2 - 10.1016/j.ijsolstr.2023.112330

DO - 10.1016/j.ijsolstr.2023.112330

M3 - Journal article

VL - 276

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

M1 - 112330

ER -