Tensegrity Structures

Form, Stability, and Symmetry

Jing Yao Zhang, Makoto Ohsaki

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Hardback

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English

Springer Verlag, Japan
30 March 2015

Analytic geometry; Maths for engineers; Structural engineering

Series: Mathematics for Industry

To facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation. In particular, high symmetry properties of the structures are extensively utilized. Conditions for self-equilibrium as well as super-stability of tensegrity structures are presented in detail. An analytical method and an efficient numerical method are given for self-equilibrium analysis of tensegrity structures: the analytical method deals with symmetric structures and the numerical method guarantees super-stability. Utilizing group representation theory, the text further provides analytical super-stability conditions for the structures that are of dihedral as well as tetrahedral symmetry. This book not only serves as a reference for engineers and scientists but is also a useful source for upper-level undergraduate and graduate students. Keeping this objective in mind, the presentation of the book is self-contained anddetailed, with an abundance of figures and examples.

By: Jing Yao Zhang, Makoto Ohsaki
Imprint: Springer Verlag, Japan
Country of Publication: Japan
Volume: 6
Dimensions: Height: 235mm, Width: 155mm, Spine: 20mm
Weight: 6.547kg
ISBN: 9784431548126
ISBN 10: 4431548122
Series: Mathematics for Industry
Pages: 300
Publication Date: 30 March 2015
Audience: Professional and scholarly , College/higher education , Undergraduate , A / AS level
Format: Hardback
Publisher's Status: Active

Introduction.- Equilibrium.- Self-Equilibrium Analysis by Symmetry.- Stability.- Force Density Method.- Prismatic Structures of Dihedral Symmetry.- Star-Shaped Structures of Dihedral Symmetry.- Regular Truncated Tetrahedral Structures.- Linear Algebra.- Affine Motions and Rigidity Condition.- Tensegrity Tower.- Group Representation Theory and Symmetry-Adapted Matrix