@article{726128, author = {Zhang, Jing Yao, and Ohsaki, Makoto,}, url = {http://library.usi.edu/record/726128}, title = {Tensegrity structures form, stability, and symmetry / [electronic resource] :}, abstract = {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.}, doi = {https://doi.org/10.1007/978-4-431-54813-3}, recid = {726128}, pages = {1 online resource.}, }