nach oben

Structural and Multidisciplinary Optimization

Erschienen in:

01.05.2015 | RESEARCH PAPER

Topology optimization of Prager structures based on truss-like material model

verfasst von: Kemin Zhou

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 5/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

A finite element method is presented to optimize Prager structures using a truss-like material model. The members are assumed to be distributed over the design domain continuously but non-uniformly, and their densities and orientations at nodes are taken as design variables. The initial loads are applied to the design domain uniformly, and the densities of members are optimized by fully stressed criteria, with the members aligning along the principal direction of stress. Concomitantly, loads are moved to the elevations of the centroid along the vertical direction. Through iterating the above procedure until convergence, Prager structures can be optimized into anisotropic structures in which most of the arches are not parallel to each other.

Vorheriger Artikel Distributed material density and anisotropy for optimized eigenfrequency of 2D continua

Nächster Artikel Optimization of multiphase structures considering damage

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Bendsoe MP (1989) Optimal shape design as a material distribution problem. Struct Multidisc Optim 1:193–202CrossRef

Chiandussi G, Codegone M, Ferrero S (2009) Topology optimization with optimality criteria and transmissible loads. Comput Math Appl 57(5):772–788MATHMathSciNetCrossRef

Darwich W, Gilbert M, Tyas A (2010) Optimum structure to carry a uniform load between pinned supports. Struct Multidisc Optim 42(1):33–42CrossRef

Fuchs MB, Moses E (2000) Optimal structural topologies with transmissible loads. Struct Multidisc Optim 19(4):263–273CrossRef

Hemp WS (1974) Michell frameworks for uniform load between fixed supports. Eng Optim 1:61–69CrossRef

Prager W, Rozvany GIN (1977) Optimal layout of grillages. J Struct Mech 5(1):1–18CrossRef

Rozvany GIN, Prager W (1979) A new class of structural optimization problem optimal archgrids. Comp Meth Appl Mech Eng 19(1):27–150MathSciNet

Rozvany GIN, Wang CM (1983) On plane Prager structures (I). Int J Mech Sci 25(7):519–527MATHCrossRef

Rozvany GIN, Wang CM, Dow M (1982) Prager structures: archgrids and cable networks of optimal layout. Comput Methods Appl Mech Eng 31(1):91–113MATHMathSciNetCrossRef

Rozvany GIN, Zhou M, Birker T (1992) Generalized shape optimization without homogenization. Struct Optim 4:250–254CrossRef

Wang CM, Rozvany GIN (1983) On plane Prager structures (II). Nonparallel external loads and allowance for selfweight. Int J Mech Sci 25(7):529–541MATHCrossRef

Zhou K (2009) Optimization of least-weight grillages by finite element method. Struct Multidisc Optim 38(5):525–532MATHCrossRef

Zhou K (2013) Topology optimization of truss-like continuum structures for natural frequencies. Struct Multidisc Optim 47(4):613–619MATHCrossRef

Zhou K, Li J (2005) Forming Michell truss in three-dimensions by finite element method. Appl Math Mech Engl Ed 26(3):381–388MATHCrossRef

Zhou K, Li X (2008) Topology optimization for minimum compliance under multiple loads based on continuous distribution of members. Struct Multidisc Optim 37(1):49–56CrossRef

Zhou K, Li X (2011) Topology optimization of truss-like continua with three members model under stress constraints. Struct Multidisc Optim 43(4):487–493CrossRef

Zhou M, Rozvany GIN (1991) The COC algorithm, Part II: topological, geometrical and generalized shape optimization. Comp Meth Appl Mech Eng 89:309–336CrossRef

Titel: Topology optimization of Prager structures based on truss-like material model
verfasst von: Kemin Zhou
Publikationsdatum: 01.05.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 5/2015
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-014-1197-5

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 5/2015

Distributed material density and anisotropy for optimized eigenfrequency of 2D continua

An active learning kriging model for hybrid reliability analysis with both random and interval variables

Minimal compliance topologies for maximal buckling load of columns

Coupled aerostructural topology optimization using a level set method for 3D aircraft wings

Optimal design of welded structure with structural and local-notch stresses based on International Institute of Welding recommendations

Optimization of the motion control mechanism of the hatch door of airliner

Premium Partner

Marktübersichten