LEADER 04750nam 22008775 450 001 9910299831003321 005 20210511200013.0 010 $a4-431-54813-0 024 7 $a10.1007/978-4-431-54813-3 035 $a(CKB)3710000000378104 035 $a(EBL)2096071 035 $a(SSID)ssj0001465751 035 $a(PQKBManifestationID)11831015 035 $a(PQKBTitleCode)TC0001465751 035 $a(PQKBWorkID)11479759 035 $a(PQKB)10558994 035 $a(DE-He213)978-4-431-54813-3 035 $a(MiAaPQ)EBC2096071 035 $z(PPN)25886804X 035 $a(PPN)184894344 035 $a(EXLCZ)993710000000378104 100 $a20150317d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTensegrity Structures $eForm, Stability, and Symmetry /$fby Jing Yao Zhang, Makoto Ohsaki 205 $a1st ed. 2015. 210 1$aTokyo :$cSpringer Japan :$cImprint: Springer,$d2015. 215 $a1 online resource (307 p.) 225 1 $aMathematics for Industry,$x2198-350X ;$v6 300 $aDescription based upon print version of record. 311 $a4-431-54812-2 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aIntroduction -- 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. 330 $aTo facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation. In particular, high symmetry properties of the structures are extensively utilized. Conditions for self-equilibrium as well as super-stability of tensegrity structures are presented in detail. An analytical method and an efficient numerical method are given for self-equilibrium analysis of tensegrity structures: the analytical method deals with symmetric structures and the numerical method guarantees super-stability. Utilizing group representation theory, the text further provides analytical super-stability conditions for the structures that are of dihedral as well as tetrahedral symmetry. This book not only serves as a reference for engineers and scientists but is also a useful source for upper-level undergraduate and graduate students. Keeping this objective in mind, the presentation of the book is self-contained and detailed, with an abundance of figures and examples. 410 0$aMathematics for Industry,$x2198-350X ;$v6 606 $aMechanics 606 $aMechanics, Applied 606 $aManifolds (Mathematics) 606 $aComplex manifolds 606 $aEngineering design 606 $aInterior architecture 606 $aInteriors 606 $aStatistical physics 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027 606 $aEngineering Design$3https://scigraph.springernature.com/ontologies/product-market-codes/T17020 606 $aInterior Architecture and Design$3https://scigraph.springernature.com/ontologies/product-market-codes/K15007 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aManifolds (Mathematics). 615 0$aComplex manifolds. 615 0$aEngineering design. 615 0$aInterior architecture. 615 0$aInteriors. 615 0$aStatistical physics. 615 14$aSolid Mechanics. 615 24$aManifolds and Cell Complexes (incl. Diff.Topology). 615 24$aEngineering Design. 615 24$aInterior Architecture and Design. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aClassical Mechanics. 676 $a574.8764 700 $aZhang$b Jing Yao$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720972 702 $aO?saki$b Makoto$f1960-$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299831003321 996 $aTensegrity Structures$91413087 997 $aUNINA