Tensegrity Structures : Form, Stability, and Symmetry / / by Jing Yao Zhang, Makoto Ohsaki

• Record Nr.: UNINA9910299831003321
• Autore: Zhang Jing Yao
• Pubbl/distr/stampa: Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015
• ISBN: 4-431-54813-0
• Edizione: [1st ed. 2015.]
• Descrizione fisica: 1 online resource (307 p.)
• Collana: Mathematics for Industry, , 2198-350X ; ; 6
• Disciplina: 574.8764
• Soggetti: Mechanics; Mechanics, Applied; Manifolds (Mathematics); Complex manifolds; Engineering design; Interior architecture; Statistical physics; Solid Mechanics; Manifolds and Cell Complexes (incl. Diff.Topology); Engineering Design; Interior Architecture and Design; Applications of Nonlinear Dynamics and Chaos Theory; Classical Mechanics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.