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Tensegrity structuresform, stability...

Ohsaki, Makoto.

Tensegrity structuresform, stability, and symmetry /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Tensegrity structuresby Jing Yao Zhang, Makoto Ohsaki.
Reminder of title:	form, stability, and symmetry /
Author:	Zhang, Jing Yao.
other author:	Ohsaki, Makoto.
Published:	Tokyo :Springer Japan :2015.
Description:	xiii, 300 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Tensegrity (Engineering)
Online resource:	http://dx.doi.org/10.1007/978-4-431-54813-3
ISBN:	9784431548133 (electronic bk.)

Tensegrity structuresform, stability, and symmetry /
Zhang, Jing Yao.

Tensegrity structuresform, stability, and symmetry /[electronic resource] :by Jing Yao Zhang, Makoto Ohsaki. - Tokyo :Springer Japan :2015. - xiii, 300 p. :ill., digital ;24 cm. - Mathematics for industry,v.62198-350X ;. - Mathematics for industry ;v.4..

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.

ISBN: 9784431548133 (electronic bk.)

Standard No.: 10.1007/978-4-431-54813-3doiSubjects--Topical Terms:

715815
Tensegrity (Engineering)

LC Class. No.: TA646

Dewey Class. No.: 624.17

Tensegrity structuresform, stability, and symmetry /
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245 1 0 $a Tensegrity structures $h [electronic resource] : $b form, stability, and symmetry / $c by Jing Yao Zhang, Makoto Ohsaki.
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505 0 $a 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.
520 $a 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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