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Non-Euclidean braced grids

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Non-Euclidean braced grids. / Power, Stephen.
In: Mathematical Proceedings of the Royal Irish Academy, Vol. 120A, No. 2, PRIA.2020.120.06, 31.10.2020, p. 43-57.

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

Harvard

Power, S 2020, 'Non-Euclidean braced grids', Mathematical Proceedings of the Royal Irish Academy, vol. 120A, no. 2, PRIA.2020.120.06, pp. 43-57. https://doi.org/10.3318/pria.2020.120.06

APA

Power, S. (2020). Non-Euclidean braced grids. Mathematical Proceedings of the Royal Irish Academy, 120A(2), 43-57. Article PRIA.2020.120.06. https://doi.org/10.3318/pria.2020.120.06

Vancouver

Power S. Non-Euclidean braced grids. Mathematical Proceedings of the Royal Irish Academy. 2020 Oct 31;120A(2):43-57. PRIA.2020.120.06. doi: 10.3318/pria.2020.120.06

Author

Power, Stephen. / Non-Euclidean braced grids. In: Mathematical Proceedings of the Royal Irish Academy. 2020 ; Vol. 120A, No. 2. pp. 43-57.

Bibtex

@article{d5ac7208429f4ae2800e2eab352d3d5a,
title = "Non-Euclidean braced grids",
abstract = "Necessary and sufficient conditions are obtained for the infinitesimal rigidity of braced grids in the plane with respect to non-Euclidean norms. Component rectangles of the grid may carry 0, 1 or 2 diagonal braces, and the combinatorial part of the conditions is given in terms of a matroid for the bicoloured bipartite multigraph defined by the braces. ",
keywords = "Braced grids, Non-Euclidean norms, Rigidity",
author = "Stephen Power",
year = "2020",
month = oct,
day = "31",
doi = "10.3318/pria.2020.120.06",
language = "English",
volume = "120A",
pages = "43--57",
journal = "Mathematical Proceedings of the Royal Irish Academy",
issn = "1393-7197",
publisher = "Royal Irish Academy",
number = "2",

}

RIS

TY - JOUR

T1 - Non-Euclidean braced grids

AU - Power, Stephen

PY - 2020/10/31

Y1 - 2020/10/31

N2 - Necessary and sufficient conditions are obtained for the infinitesimal rigidity of braced grids in the plane with respect to non-Euclidean norms. Component rectangles of the grid may carry 0, 1 or 2 diagonal braces, and the combinatorial part of the conditions is given in terms of a matroid for the bicoloured bipartite multigraph defined by the braces.

AB - Necessary and sufficient conditions are obtained for the infinitesimal rigidity of braced grids in the plane with respect to non-Euclidean norms. Component rectangles of the grid may carry 0, 1 or 2 diagonal braces, and the combinatorial part of the conditions is given in terms of a matroid for the bicoloured bipartite multigraph defined by the braces.

KW - Braced grids

KW - Non-Euclidean norms

KW - Rigidity

U2 - 10.3318/pria.2020.120.06

DO - 10.3318/pria.2020.120.06

M3 - Journal article

VL - 120A

SP - 43

EP - 57

JO - Mathematical Proceedings of the Royal Irish Academy

JF - Mathematical Proceedings of the Royal Irish Academy

SN - 1393-7197

IS - 2

M1 - PRIA.2020.120.06

ER -