Tensegrity Structures : Form, Stability, and Symmetry
Zhang, Jing Yao.
Tensegrity Structures : Form, Stability, and Symmetry by Jing Yao Zhang, Makoto Ohsaki - 1 recurso en línea (XIII, 300 páginas 87 ilustraciones, 79 ilustraciones a color.) - Mathematics for Industry, 6 2198-350X ; Engineering (Springer-11647) .
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.
9784431548133
10.1007/978-4-431-54813-3 doi
Estructuras (Construcción)
Análisis estructural (Ingeniería)
TA646 / .Z436 2015 EB
Tensegrity Structures : Form, Stability, and Symmetry by Jing Yao Zhang, Makoto Ohsaki - 1 recurso en línea (XIII, 300 páginas 87 ilustraciones, 79 ilustraciones a color.) - Mathematics for Industry, 6 2198-350X ; Engineering (Springer-11647) .
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.
9784431548133
10.1007/978-4-431-54813-3 doi
Estructuras (Construcción)
Análisis estructural (Ingeniería)
TA646 / .Z436 2015 EB