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.
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 and detailed, with an abundance of figures and examples.
