Michell Structures
PBN-AR
Instytucja
Wydział Inżynierii Lądowej (Politechnika Warszawska)
Informacje podstawowe
Rok publikacji
2019
Główny język publikacji
en
Książka z rozdziałami
Przekład językowy
Ocena KEN
Edycja naukowa
Strony
569
Numer tomu
Seria wydawnicza
Numer w serii wydawniczej
Numer wydania
Wydawca
Springer
Miejsce wydania
ISBN
9783319951799
ISMN
ISSN
Mapa
Identyfikator DOI
Liczba arkuszy
28.45
Autorstwo oznaczone
Słowa kluczowe
en
Michell Structures
Optimum Design
Topology Optimization
Streszczenia
Język
en
Treść
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.
Inne
System-identifier
WUT529207e510d74c679ba38868b599bfda
CrossrefMetadata from Crossref logo
Cytowania
Liczba prac cytujących tę pracę
Brak danych
Referencje
Liczba prac cytowanych przez tę pracę
Brak danych