Tensegrity Structures: Form, Stability, and Symmetry

[ssobhan]

Tensegrity Structures: Form, Stability, and Symmetry

Author(s): Jing Yao Zhang, Makoto Ohsaki | Size: 9 MB | Format: PDF | Quality: Original preprint | Publisher: Springer Tokyo | Year: 2015 | pages: 300 | ISBN: 9784431548126

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 and detailed, with an abundance of figures and examples.

Table of contents :
Front Matter....Pages i-xiii
Introduction....Pages 1-13
Equilibrium....Pages 15-54
Self-equilibrium Analysis by Symmetry....Pages 55-96
Stability....Pages 97-135
Force Density Method....Pages 137-170
Prismatic Structures of Dihedral Symmetry....Pages 171-203
Star-Shaped Structures of Dihedral Symmetry....Pages 205-231
Regular Truncated Tetrahedral Structures....Pages 233-248
Back Matter....Pages 249-300

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