Michell Structures Tomasz Lewiński, Tomasz Sokół, Cezary Graczykowski
By: Lewiński, Tomasz
Title By: Graczykowski, Cezary | Sokół, Tomasz
Publisher: Cham : Springer International Publishing : Imprint: Springer, c2019.Description: xvii, 582 p. : ill. ; 24 cm.ISBN: 9783319951799; 9783319951812Subject(s): Mechanics | Mechanics, Applied | Solid MechanicsDDC classification: 624.176 LE MI Online resources: Location MapItem type | Home library | Call number | Status | Notes | Date due | Barcode | Item holds |
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REGULAR | University of Wollongong in Dubai Main Collection | 624.176 LE MI (Browse shelf) | Available | Oct2019 | T0063131 |
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624.171 UT EL Elementary structural analysis | 624.1712 SA ST Structures : | 624.176 GU PR Principles of earthquake resistance design of structures and tsunami/ | 624.176 LE MI Michell Structures | 624.1762 CO NC Concrete structures in earthquake | 624.1762 HO IN Introduction to computational earthquake engineering | 624.1762 SE IS Seismic isolation, structural health monitoring, and performance based seismic design in earthquake engineering : |
Introduction.- Optimum design of frames of a 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.
The 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 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.