國立虎尾科技大學 |

Frameworks, tensegrities, and symmetry /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Frameworks, tensegrities, and symmetry // Robert Connelly, Simon D. Guest.
作者:	Connelly, Robert
其他作者:	Guest, S. D.
面頁冊數:	1 online resource (xiv, 283 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 13 Jan 2022).
標題:	Rigidity (Geometry) -
電子資源:	https://doi.org/10.1017/9780511843297
ISBN:	9780511843297 (ebook)

Frameworks, tensegrities, and symmetry /
Connelly, Robert(Mathematician),

Frameworks, tensegrities, and symmetry /Robert Connelly, Simon D. Guest. - 1 online resource (xiv, 283 pages) :digital, PDF file(s).

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: 9780511843297 (ebook)Subjects--Topical Terms:

1210534
Rigidity (Geometry)

LC Class. No.: TA645 / .C655 2022

Dewey Class. No.: 624.1/7

Frameworks, tensegrities, and symmetry /
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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.
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