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Frameworks, tensegrities, and symmetry

Connelly, Robert.

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Frameworks, tensegrities, and symmetry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Frameworks, tensegrities, and symmetry/ Robert Connelly, Simon D. Guest.
Author:	Connelly, Robert.
other author:	Guest, Simon D.
Published:	Cambridge :Cambridge University Press, : 2022.,
Description:	xiv, 283 p. :ill., digital ;26 cm.
Notes:	Title from publisher's bibliographic system (viewed on 13 Jan 2022).
[NT 15003449]:	Frameworks and rigidity -- First-order analysis of frameworks -- Tensegrities -- Energy functions and the stress matrix -- Prestress stability -- Generic frameworks -- Finite mechanisms -- Groups and representation theory -- First-order symmetry analysis -- Generating stable symmetric tensegrities.
Subject:	Structural analysis (Engineering) -
Online resource:	https://doi.org/10.1017/9780511843297
ISBN:	9780511843297

Frameworks, tensegrities, and symmetry
Connelly, Robert.

Frameworks, tensegrities, and symmetry[electronic resource] /Robert Connelly, Simon D. Guest. - Cambridge :Cambridge University Press,2022. - xiv, 283 p. :ill., digital ;26 cm.

Title from publisher's bibliographic system (viewed on 13 Jan 2022).

Frameworks and rigidity -- First-order analysis of frameworks -- Tensegrities -- Energy functions and the stress matrix -- Prestress stability -- Generic frameworks -- Finite mechanisms -- Groups and representation theory -- First-order symmetry analysis -- Generating stable symmetric tensegrities.

This introduction to the theory of rigid structures explains how to analyze the performance of built and natural structures under loads, paying special attention to the role of geometry. The book unifies the engineering and mathematical literatures by exploring different notions of rigidity - local, global, and universal - and how they are interrelated. Important results are stated formally, but also clarified with a wide range of revealing examples. An important generalization is to tensegrities, where fixed distances are replaced with 'cables' not allowed to increase in length and 'struts' not allowed to decrease in length. A special feature is the analysis of symmetric tensegrities, where the symmetry of the structure is used to simplify matters and allows the theory of group representations to be applied. Written for researchers and graduate students in structural engineering and mathematics, this work is also of interest to computer scientists and physicists.

ISBN: 9780511843297Subjects--Topical Terms:

624680
Structural analysis (Engineering)

LC Class. No.: TA645 / .C655 2022

Dewey Class. No.: 624.17

Frameworks, tensegrities, and symmetry
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245 1 0 $a Frameworks, tensegrities, and symmetry $h [electronic resource] / $c Robert Connelly, Simon D. Guest.
260 $a Cambridge : $b Cambridge University Press, $c 2022.
300 $a xiv, 283 p. : $b ill., digital ; $c 26 cm.
500 $a Title from publisher's bibliographic system (viewed on 13 Jan 2022).
505 0 $a Frameworks and rigidity -- First-order analysis of frameworks -- Tensegrities -- Energy functions and the stress matrix -- Prestress stability -- Generic frameworks -- Finite mechanisms -- Groups and representation theory -- First-order symmetry analysis -- Generating stable symmetric tensegrities.
520 $a This introduction to the theory of rigid structures explains how to analyze the performance of built and natural structures under loads, paying special attention to the role of geometry. The book unifies the engineering and mathematical literatures by exploring different notions of rigidity - local, global, and universal - and how they are interrelated. Important results are stated formally, but also clarified with a wide range of revealing examples. An important generalization is to tensegrities, where fixed distances are replaced with 'cables' not allowed to increase in length and 'struts' not allowed to decrease in length. A special feature is the analysis of symmetric tensegrities, where the symmetry of the structure is used to simplify matters and allows the theory of group representations to be applied. Written for researchers and graduate students in structural engineering and mathematics, this work is also of interest to computer scientists and physicists.
650 0 $a Structural analysis (Engineering) $3 624680
650 0 $a Engineering mathematics. $3 516847
650 0 $a Rigidity (Geometry) $3 1324970
700 1 $a Guest, Simon D. $3 3645791
856 4 0 $u https://doi.org/10.1017/9780511843297