Tensegrity Structures

Form, Stability, and Symmetry

Jing Yao Zhang, Makoto Ohsaki (Autoren)

Buch | Softcover

300 Seiten

2016 | Softcover reprint of the original 1st ed. 2015
Springer Verlag, Japan
978-4-431-56356-3 (ISBN)

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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.

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

Erscheinungsdatum	29.10.2016
Reihe/Serie	Mathematics for Industry ; 6
Zusatzinfo	79 Illustrations, color; 8 Illustrations, black and white; XIII, 300 p. 87 illus., 79 illus. in color.
Verlagsort	Tokyo
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Architektur
	Technik ► Maschinenbau
Schlagworte	Form-finding • Self-equilibrium Form • Stability Analysis • Symmetry Condition • tensegrity structure
ISBN-10	4-431-56356-3 / 4431563563
ISBN-13	978-4-431-56356-3 / 9784431563563
Zustand	Neuware