Frameworks, tensegrities, and symmetry /
"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 --...
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Main Authors: | |
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Group Author: | |
Published: |
Cambridge University Press,
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Publisher Address: | Cambridge : |
Publication Dates: | 2022. |
Literature type: | Book |
Language: | English |
Subjects: | |
Summary: |
"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"-- |
Carrier Form: | xiv, 283 pages : illustrations (some color) ; 25 cm |
Bibliography: | Includes bibliographical references (pages 271-279) and index. |
ISBN: |
9780521879101 0521879108 |
Index Number: | TA645 |
CLC: |
TB11 TU311 |
Call Number: | TU311/C752 |
Contents: | 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. |