Frameworks, Tensegrities, and Symmetry

Inbunden, Engelska, 2022

854 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2022-01-27
Mått:174 x 250 x 19 mm
Vikt:690 g
Format:Inbunden
Språk:Engelska
Antal sidor:350
Förlag:Cambridge University Press
ISBN:9780521879101

Utforska kategorier

Kombinatorik och grafteori inom Naturvetenskap och teknik

Mer om författaren

Robert Connelly is professor of mathematics at Cornell University and a pioneer in the study of tensegrities. His research focuses on discrete geometry, computational geometry, and the rigidity of discrete structures and its relations to flexible surfaces, asteroid shapes, opening rulers, granular materials, and tensegrities. In 2012 he was elected a fellow of the American Mathematical Society. Simon D. Guest is Professor of Structural Mechanics in the Structures Group of the Department of Engineering at the University of Cambridge, and Head of the Civil Engineering Division. His research straddles the border between traditional structural mechanics and the study of mechanisms, and includes work on 'morphing' and 'deployable' structures.

Recensioner i media

'Rigidity theory mathematicians and structural engineers are like two branches of a tribe that separated long ago. In the intervening time, the language and knowledge of each group has evolved to where concepts no longer align and common terms no longer have common meanings. As a result, when they interact today, confusion reigns. Frameworks, Tensegrities and Symmetry is a guide that both groups can use to understand the other.' William F. Baker, Skidmore, Owings & Merrill

Innehållsförteckning

1. Introduction; Part I. The General Case: 2. Frameworks and Rigidity; 3. First-Order Analysis of Frameworks; 4. Tensegrities; 5. Energy Functions and the Stress Matrix; 6. Prestress Stability; 7. Generic Frameworks; 8. Finite Mechanisms; Part II. Symmetric Structures: 9. Groups and Representation Theory; 10. First-Order Symmetry Analysis; 11. Generating Stable Symmetric Tensegrities; A. Useful Theorems and Proofs.