Frameworks, Tensegrities, and Symmetry

This book provides an introduction to the theory of rigid structures, focusing on the analysis of built and natural structures under loads. It unifies the engineering and mathematical literatures by exploring different notions of rigidity and how they are interrelated. It also discusses tensegrities, where fixed distances are replaced with cables and struts, and analyzes symmetric tensegrities using group representations.

Format: Hardback
Length: 350 pages
Publication date: 27 January 2022
Publisher: Cambridge University Press

This comprehensive introduction to the theory of rigid structures delves into the analysis of built and natural structures under various loads, with a particular focus on the role of geometry. By exploring diverse notions of rigidity, including local, global, and universal, the book seamlessly integrates engineering and mathematical literatures. It presents important results in a formal manner, accompanied by numerous illustrative examples that elucidate the concepts. An important generalization introduced is tensegrities, where fixed distances are replaced with cables that cannot increase in length and struts that cannot decrease in length. A distinctive aspect of this work is the analysis of symmetric tensegrities, where the symmetry of the structure is leveraged to simplify matters and enables the application of group representations theory. Authored for researchers and graduate students in structural engineering and mathematics, this text also holds relevance for computer scientists and physicists.

Weight: 760g
Dimension: 176 x 251 x 22 (mm)
ISBN-13: 9780521879101
Edition number: New ed