Tensegrity Structures

As well as presenting the fundamental properties of tensegrity structures, this book is the first to analytically study their self-equilibrium and super-stability, making use of this powerful tool for dealing with symmetry group representation theory.

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.

The first book to analytically study self-equilibrium and super-stability of symmetric tensegrity structures, making use of this powerful tool for dealing with symmetry group representation theory Presents the fundamental properties of tensegrity structures , since these basic properties are inevitably involved in the design of any tensegrity structures Comprehensive and detailed with plenty of examples, intended to help readers follow the theories and algorithms more easily Includes supplementary material: sn.pub/extras

Inhalt
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