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Tensegrity Structures [electronic resource] : Form, Stability, and Symmetry / by Jing Yao Zhang, Makoto Ohsaki.

By: Zhang, Jing Yao [author.].
Contributor(s): Ohsaki, Makoto [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mathematics for Industry: 6Publisher: Tokyo : Springer Japan : Imprint: Springer, 2015Description: XIII, 300 p. 87 illus., 79 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9784431548133.Subject(s): Engineering | Manifolds (Mathematics) | Complex manifolds | Mechanics | Statistical physics | Structural mechanics | Engineering design | Engineering | Structural Mechanics | Manifolds and Cell Complexes (incl. Diff.Topology) | Engineering Design | Interior Architecture | Nonlinear Dynamics | MechanicsAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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.

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