Michell Structures

Authors: Lewiński, Tomasz, Sokół, Tomasz, Graczykowski, Cezary

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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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eBook $169.00
price for USA in USD (gross)
  • ISBN 978-3-319-95180-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-3-319-95179-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $169.00
price for USA in USD (gross)
  • ISBN 978-3-319-95180-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-3-319-95179-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Michell Structures
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-95180-5
DOI
10.1007/978-3-319-95180-5
Hardcover ISBN
978-3-319-95179-9
Edition Number
1
Number of Pages
XVII, 569
Number of Illustrations
231 b/w illustrations, 79 illustrations in colour
Topics