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Covers the theory of Michell structures and its applications
Provides a detailed description of the methods of their construction
Written by experts in the field
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Table of contents (8 chapters)
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Front Matter
About this book
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 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, thin plates in bending and membrane shells; recapitulation of the theory of optimum design of trusses of minimum weight or of minimal compliance; the basis of 2D Michell theory for a single load case; kinematic and static approaches; 2D benchmark constructions including Hemp’s structures and 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; Prager-Rozvany grillages; the theory of funiculars and archgrids; the methods of optimum design of shape and material inspired by the theory of Michell structures, 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.Authors and Affiliations
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Faculty of Civil Engineering, Warsaw University of Technology, Warsaw, Poland
Tomasz Lewiński, Tomasz Sokół
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Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland
Cezary Graczykowski
Bibliographic Information
Book Title: Michell Structures
Authors: Tomasz Lewiński, Tomasz Sokół, Cezary Graczykowski
DOI: https://doi.org/10.1007/978-3-319-95180-5
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-319-95179-9Published: 15 October 2018
Softcover ISBN: 978-3-030-06988-9Published: 28 December 2018
eBook ISBN: 978-3-319-95180-5Published: 27 September 2018
Edition Number: 1
Number of Pages: XVII, 569
Number of Illustrations: 231 b/w illustrations, 79 illustrations in colour
Topics: Solid Mechanics
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