Download Book Frameworks, Tensegrities, and Symmetry

 

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Frameworks, Tensegrities, and Symmetry

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Description

by Robert Connelly (Author), Simon D. Guest (Author)

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.

 

Details:

Year:

2022

Pages:

2022

Language:

English

Format:

PDF

Size:

7 MB

Publisher:

Cambridge University Press

ISBN-10:

0521879108

ISBN-13:

978-0521879101, 9780521879101

ASIN:

B09WF6XYLC

Tag:

Download Book Frameworks, Tensegrities, and Symmetry