04808nam 22008895 450 991029983100332120250609110058.04-431-54813-010.1007/978-4-431-54813-3(CKB)3710000000378104(EBL)2096071(SSID)ssj0001465751(PQKBManifestationID)11831015(PQKBTitleCode)TC0001465751(PQKBWorkID)11479759(PQKB)10558994(DE-He213)978-4-431-54813-3(MiAaPQ)EBC2096071(PPN)25886804X(PPN)184894344(MiAaPQ)EBC3108604(EXLCZ)99371000000037810420150317d2015 u| 0engur|n|---|||||txtccrTensegrity Structures Form, Stability, and Symmetry /by Jing Yao Zhang, Makoto Ohsaki1st ed. 2015.Tokyo :Springer Japan :Imprint: Springer,2015.1 online resource (307 p.)Mathematics for Industry,2198-350X ;6Description based upon print version of record.4-431-54812-2 Includes bibliographical references at the end of each chapters and index.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.Mathematics for Industry,2198-350X ;6MechanicsMechanics, AppliedManifolds (Mathematics)Complex manifoldsEngineering designInterior architectureInterior architectureStatistical physicsSolid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Manifolds and Cell Complexes (incl. Diff.Topology)https://scigraph.springernature.com/ontologies/product-market-codes/M28027Engineering Designhttps://scigraph.springernature.com/ontologies/product-market-codes/T17020Interior Architecture and Designhttps://scigraph.springernature.com/ontologies/product-market-codes/K15007Applications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Mechanics.Mechanics, Applied.Manifolds (Mathematics)Complex manifolds.Engineering design.Interior architecture.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.574.8764Zhang Jing Yaoauthttp://id.loc.gov/vocabulary/relators/aut720972Ōsaki Makoto1960-authttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299831003321Tensegrity Structures1413087UNINA