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Mobility of symmetry-regular bar-and-joint frameworks

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed)

Published

Standard

Mobility of symmetry-regular bar-and-joint frameworks. / Fowler, Patrick; Guest, Simon ; Schulze, Bernd.
Rigidity and symmetry. ed. / Robert Connell; Asia Ivić Weiss ; Walter Whiteley. New York: Springer, 2014. p. 117-130 (Fields Institute Communications; Vol. 70).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed)

Harvard

Fowler, P, Guest, S & Schulze, B 2014, Mobility of symmetry-regular bar-and-joint frameworks. in R Connell, AI Weiss & W Whiteley (eds), Rigidity and symmetry. Fields Institute Communications, vol. 70, Springer, New York, pp. 117-130.

APA

Fowler, P., Guest, S., & Schulze, B. (2014). Mobility of symmetry-regular bar-and-joint frameworks. In R. Connell, A. I. Weiss , & W. Whiteley (Eds.), Rigidity and symmetry (pp. 117-130). (Fields Institute Communications; Vol. 70). Springer.

Vancouver

Fowler P, Guest S, Schulze B. Mobility of symmetry-regular bar-and-joint frameworks. In Connell R, Weiss AI, Whiteley W, editors, Rigidity and symmetry. New York: Springer. 2014. p. 117-130. (Fields Institute Communications).

Author

Fowler, Patrick ; Guest, Simon ; Schulze, Bernd. / Mobility of symmetry-regular bar-and-joint frameworks. Rigidity and symmetry. editor / Robert Connell ; Asia Ivić Weiss ; Walter Whiteley. New York : Springer, 2014. pp. 117-130 (Fields Institute Communications).

Bibtex

@inbook{b497001d48c2445eaceee4157312afab,
title = "Mobility of symmetry-regular bar-and-joint frameworks",
abstract = "In a symmetry-regular bar-and-joint framework of given point-group symmetry, all bars and joints occupy general positions with respect to the symmetry elements. The symmetry-extended form of Maxwell{\textquoteright}s Rule is applied to this simplest type of framework and is used to derive counts within irreducible representations for infinitesimal mechanisms and states of self stress. In particular, conditions are given for symmetry-regular frameworks to have at least one infinitesimal mechanism (respectively, state of self stress) within each irreducible representation of the point group of the framework. Similar conditions are found for symmetry-regular body-and-joint frameworks.",
author = "Patrick Fowler and Simon Guest and Bernd Schulze",
year = "2014",
month = jun,
language = "English",
isbn = "9781493907809",
series = "Fields Institute Communications",
publisher = "Springer",
pages = "117--130",
editor = "Connell, {Robert } and {Weiss }, {Asia Ivi{\'c} } and Walter Whiteley",
booktitle = "Rigidity and symmetry",

}

RIS

TY - CHAP

T1 - Mobility of symmetry-regular bar-and-joint frameworks

AU - Fowler, Patrick

AU - Guest, Simon

AU - Schulze, Bernd

PY - 2014/6

Y1 - 2014/6

N2 - In a symmetry-regular bar-and-joint framework of given point-group symmetry, all bars and joints occupy general positions with respect to the symmetry elements. The symmetry-extended form of Maxwell’s Rule is applied to this simplest type of framework and is used to derive counts within irreducible representations for infinitesimal mechanisms and states of self stress. In particular, conditions are given for symmetry-regular frameworks to have at least one infinitesimal mechanism (respectively, state of self stress) within each irreducible representation of the point group of the framework. Similar conditions are found for symmetry-regular body-and-joint frameworks.

AB - In a symmetry-regular bar-and-joint framework of given point-group symmetry, all bars and joints occupy general positions with respect to the symmetry elements. The symmetry-extended form of Maxwell’s Rule is applied to this simplest type of framework and is used to derive counts within irreducible representations for infinitesimal mechanisms and states of self stress. In particular, conditions are given for symmetry-regular frameworks to have at least one infinitesimal mechanism (respectively, state of self stress) within each irreducible representation of the point group of the framework. Similar conditions are found for symmetry-regular body-and-joint frameworks.

M3 - Chapter (peer-reviewed)

SN - 9781493907809

T3 - Fields Institute Communications

SP - 117

EP - 130

BT - Rigidity and symmetry

A2 - Connell, Robert

A2 - Weiss , Asia Ivić

A2 - Whiteley, Walter

PB - Springer

CY - New York

ER -