Jingyao Zhang, Makoto Ohsaki

Tensegrity Structures

Form, Stability, and Symmetry

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Mathematics in Industry 6
• Verlag: Springer / Springer Japan / Springer, Berlin
• Artikelnr. des Verlages: 86248241, 978-4-431-54812-6
• 2015
• Seitenzahl: 316
• Erscheinungstermin: 30. März 2015
• Englisch
• Abmessung: 241mm x 160mm x 23mm
• Gewicht: 584g
• ISBN-13: 9784431548126
• ISBN-10: 4431548122
• Artikelnr.: 40033244

Inhaltsangabe

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