Tensegrity Structures: Form, Stability, and Symmetry

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Form, Stability, and Symmetry

Login: Password:. Zhang, Jing Yao. To facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation.

The hyperbolic membrane (wrapped in cubes) reacts to a shear force with symmetry change

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.


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Keeping this objective in mind, the presentation of the book is self-contained and detailed, with an abundance of figures and examples. Manifolds Mathematics. Complex manifolds.


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    8. Journal of Structural Engineering :9, Journal of the Mechanics and Physics of Solids 93 , Geometriae Dedicata :1, SIAM Review 58 :2, Mechanism and Machine Theory 93 , International Journal of Solids and Structures 71 , Tensegrity Structures, Transactions of the Society of Instrument and Control Engineers 51 , Journal of Structural Engineering :4, Mechanics Research Communications 60 , International Journal of Solids and Structures 50 , Structural and Multidisciplinary Optimization 48 :1, Discrete Applied Mathematics , Optimization and Engineering 14 :1, International Journal of Space Structures 28 :1, Mathematical Programming , Engineering with Computers 29 :1, Proofs on Unit Sphere Packings.

      Physical Review E 85 Journal of the Operations Research Society of Japan 55 :2, Proceedings of the Steklov Institute of Mathematics :1, Acta Mechanica Sinica 27 :6, International Journal of Solids and Structures 48 , Acta Mechanica , European Journal of Combinatorics 32 :6, Soft Matter 7 , Reviews of Modern Physics 82 :3, International Journal of Solids and Structures 47 , European Journal of Combinatorics 31 :4, International Journal of Solids and Structures 47 :5, International Journal of Space Structures 25 :1, The American Mathematical Monthly :3, Adaptive Spring Systems for Shape Programming.

      Artifical Intelligence and Soft Computing, European Journal of Combinatorics 30 :8, International Journal of Solids and Structures 46 , Robotics and Autonomous Systems 57 :5, International Journal of Solids and Structures 46 :6, Chapter 2 Tensegrity. Advances in Applied Mechanics, European Journal of Combinatorics 29 :8, International Journal of Solids and Structures 44 , Journal of Mechanics of Materials and Structures 2 :5, Journal of Computational Physics :1, Archive for Rational Mechanics and Analysis :2, Physical Review E 75 International Journal of Solids and Structures 43 , Physical Biology 2 :4, SS Journal of Mechanical Design :5, Physical Review E 72 Journal of Guidance, Control, and Dynamics 28 :3, Journal of Physics A: Mathematical and General 37 , Physical Review E 70 Sensors and Actuators A: Physical , International Journal of Solids and Structures 40 , International Journal of Structural Stability and Dynamics 03 , Engineering Structures 24 :6,

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