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When is a symmetric body-bar structure isostatic?

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When is a symmetric body-bar structure isostatic? / Guest, Simon ; Schulze, Bernd; Whiteley, Walter.
In: International Journal of Solids and Structures, Vol. 47, No. 20, 01.10.2010, p. 2745-2754.

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

Harvard

Guest, S, Schulze, B & Whiteley, W 2010, 'When is a symmetric body-bar structure isostatic?', International Journal of Solids and Structures, vol. 47, no. 20, pp. 2745-2754. https://doi.org/10.1016/j.ijsolstr.2010.06.001

APA

Guest, S., Schulze, B., & Whiteley, W. (2010). When is a symmetric body-bar structure isostatic? International Journal of Solids and Structures, 47(20), 2745-2754. https://doi.org/10.1016/j.ijsolstr.2010.06.001

Vancouver

Guest S, Schulze B, Whiteley W. When is a symmetric body-bar structure isostatic? International Journal of Solids and Structures. 2010 Oct 1;47(20):2745-2754. doi: 10.1016/j.ijsolstr.2010.06.001

Author

Guest, Simon ; Schulze, Bernd ; Whiteley, Walter. / When is a symmetric body-bar structure isostatic?. In: International Journal of Solids and Structures. 2010 ; Vol. 47, No. 20. pp. 2745-2754.

Bibtex

@article{a0b2a263ea274e718f1031938fad2b57,
title = "When is a symmetric body-bar structure isostatic?",
abstract = "Body-bar frameworks provide a special class of frameworks which are well understood generically, with a full combinatorial theory for rigidity. Given a symmetric body-bar framework, this paper exploits group representation theory to provide necessary conditions for rigidity in the form of very simply stated restrictions on the numbers of those structural components that are unshifted by the symmetry operations of the framework. We give some initial results, and conjectures, for when these conditions are also sufficient for rigidity.",
keywords = "Symmetry, Isostatic, Body-bar",
author = "Simon Guest and Bernd Schulze and Walter Whiteley",
year = "2010",
month = oct,
day = "1",
doi = "10.1016/j.ijsolstr.2010.06.001",
language = "English",
volume = "47",
pages = "2745--2754",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",
number = "20",

}

RIS

TY - JOUR

T1 - When is a symmetric body-bar structure isostatic?

AU - Guest, Simon

AU - Schulze, Bernd

AU - Whiteley, Walter

PY - 2010/10/1

Y1 - 2010/10/1

N2 - Body-bar frameworks provide a special class of frameworks which are well understood generically, with a full combinatorial theory for rigidity. Given a symmetric body-bar framework, this paper exploits group representation theory to provide necessary conditions for rigidity in the form of very simply stated restrictions on the numbers of those structural components that are unshifted by the symmetry operations of the framework. We give some initial results, and conjectures, for when these conditions are also sufficient for rigidity.

AB - Body-bar frameworks provide a special class of frameworks which are well understood generically, with a full combinatorial theory for rigidity. Given a symmetric body-bar framework, this paper exploits group representation theory to provide necessary conditions for rigidity in the form of very simply stated restrictions on the numbers of those structural components that are unshifted by the symmetry operations of the framework. We give some initial results, and conjectures, for when these conditions are also sufficient for rigidity.

KW - Symmetry

KW - Isostatic

KW - Body-bar

U2 - 10.1016/j.ijsolstr.2010.06.001

DO - 10.1016/j.ijsolstr.2010.06.001

M3 - Journal article

VL - 47

SP - 2745

EP - 2754

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 20

ER -