Tensegrity Structures Form, Stability, and Symmetry /

• Main Authors: Zhang, Jing Yao (Author), Ohsaki, Makoto (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Tokyo : Springer Japan : Imprint: Springer, 2015.
• Series: Mathematics for Industry, 6
• Subjects: Engineering.; Manifolds (Mathematics).; Complex manifolds.; Mechanics.; Statistical physics.; Structural mechanics.; Engineering design.; Structural Mechanics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Engineering Design.; Interior Architecture.; Nonlinear Dynamics.

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 sup...

Table of Contents:

• 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.