LEADER 03652nam 22004575 450 001 9910337656503321 005 20200703150541.0 010 $a3-319-95180-7 024 7 $a10.1007/978-3-319-95180-5 035 $a(CKB)4100000006674919 035 $a(MiAaPQ)EBC5528153 035 $a(DE-He213)978-3-319-95180-5 035 $a(PPN)230542131 035 $a(EXLCZ)994100000006674919 100 $a20180927d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMichell Structures /$fby Tomasz Lewi?ski, Tomasz Sokó?, Cezary Graczykowski 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (582 pages) 311 $a3-319-95179-3 327 $aIntroduction -- Optimum design of frames of finite number of bars: selected problems -- Michell structures designed in a plane. A single load case -- Michell structures in the space. A single load case -- Shells of revolution subjected to torsion -- Michell-like structures for multiple alternative load conditions. Designs in plane -- Michell-like structures for multiple alternative load conditions. Designs in space -- Rozvany's grillages -- Prager structures: optimum structures under transmissible loads -- Industrial applications -- References. 330 $aThe book covers the theory of Michell structures being the lightest and fully stressed systems of bars, designed within a given domain, possibly within the whole space, transmitting a given load towards a given support. Discovered already in 1904 by A.G.M. Michell, the structures named after him have attracted constant attention due to their peculiar feature of disclosing the optimal streams of stresses equilibrating a given load and thus determining the optimal layout of bars. The optimal layouts emerge from among all possible structural topologies, thus constituting unique designs being simultaneously light and stiff. The optimal structures turn out to be embedded in optimal vector fields covering the whole feasible domain. Key features include: a variationally consistent theory of bar systems; recapitulation of the theory of optimum design of trusses of minimum weight or of minimal compliance; the detailed description of the ground structure method with the newest adaptation scheme; the basis of 2D Michell theory for a single load case; kinematic and static approaches; 2D benchmark constructions including the optimal cantilevers; L-shape domain problems, three forces problem in 2D, bridge problems; revisiting the old - and delivering new - 3D benchmark solutions; extension to multiple load conditions; Rozvany?s grillages; Prager structures for transmissible loads; industrial applications. The book can be useful for graduate students, professional engineers and researchers specializing in the Optimum Design and in Topology Optimization in general. 606 $aMechanics 606 $aMechanics, Applied 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 615 0$aMechanics. 615 0$aMechanics, Applied. 615 14$aSolid Mechanics. 676 $a624.171 700 $aLewi?ski$b Tomasz$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755238 702 $aSokó?$b Tomasz$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aGraczykowski$b Cezary$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910337656503321 996 $aMichell Structures$92127121 997 $aUNINA