000 03975nam a22005055i 4500
001 978-3-319-95180-5
003 DE-He213
005 20220801214830.0
007 cr nn 008mamaa
008 180927s2019 sz | s |||| 0|eng d
020 _a9783319951805
_9978-3-319-95180-5
024 7 _a10.1007/978-3-319-95180-5
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aLewiński, Tomasz.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_940732
245 1 0 _aMichell Structures
_h[electronic resource] /
_cby Tomasz Lewiński, Tomasz Sokół, Cezary Graczykowski.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXVII, 569 p. 310 illus., 79 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 1 4 _aSolid Mechanics.
_931612
700 1 _aSokół, Tomasz.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_940733
700 1 _aGraczykowski, Cezary.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_940734
710 2 _aSpringerLink (Online service)
_940735
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319951799
776 0 8 _iPrinted edition:
_z9783319951812
776 0 8 _iPrinted edition:
_z9783030069889
856 4 0 _uhttps://doi.org/10.1007/978-3-319-95180-5
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c76799
_d76799