Skip to main content
Erschienen in: Structural and Multidisciplinary Optimization 1/2013

01.07.2013 | Research Paper

Truss layout optimization within a continuum

verfasst von: Tomás Zegard, Glaucio H. Paulino

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 1/2013

Einloggen

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

search-config
loading …

Abstract

The present work extends truss layout optimization by considering the case when it is embedded in a continuum. Structural models often combine discrete and continuum members and current requirements for efficiency and extreme structures push research in the field of optimization. Examples of varied complexity and dimensional space are analyzed and compared, highlighting the advantages of the proposed method. The goal of this work is to provide a simple formulation for the discrete component of the structure, more specifically the truss, to be optimized in presence of a continuum.

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!

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat ACI Committee (2002) SP-208: Examples for the Design of Structural Concrete with Strut-and-Tie Models ACI Committee (2002) SP-208: Examples for the Design of Structural Concrete with Strut-and-Tie Models
Zurück zum Zitat Allahdadian S, Boroomand B, Barekatein A (2012) Towards optimal design of bracing system of multi-story structures under harmonic base excitation through a topology optimization scheme. Finite Elem Anal Des 61:60–74MathSciNetCrossRef Allahdadian S, Boroomand B, Barekatein A (2012) Towards optimal design of bracing system of multi-story structures under harmonic base excitation through a topology optimization scheme. Finite Elem Anal Des 61:60–74MathSciNetCrossRef
Zurück zum Zitat Amir O, Sigmund O (2013) Reinforcement layout design for concrete structures based on continuum damage and truss topology optimization. Struct Multidiscipl Optim 47(2):157–174 Amir O, Sigmund O (2013) Reinforcement layout design for concrete structures based on continuum damage and truss topology optimization. Struct Multidiscipl Optim 47(2):157–174
Zurück zum Zitat Barzegar F, Maddipudi S (1994) Generating reinforcement in FE modeling of concrete structures. J Struct Eng 120(5):1656–1662CrossRef Barzegar F, Maddipudi S (1994) Generating reinforcement in FE modeling of concrete structures. J Struct Eng 120(5):1656–1662CrossRef
Zurück zum Zitat Bendsoe MP, Sigmund O (2003) Topology optimization: theory, methods and applications, 2nd edn. In: Engineering online library. Springer, Berlin, Germany Bendsoe MP, Sigmund O (2003) Topology optimization: theory, methods and applications, 2nd edn. In: Engineering online library. Springer, Berlin, Germany
Zurück zum Zitat Dorn W, Gomory R, Greenberg H (1964) Atomatic design of optimal structures. J Mech 3:25–52 Dorn W, Gomory R, Greenberg H (1964) Atomatic design of optimal structures. J Mech 3:25–52
Zurück zum Zitat Elwi A, Hrudey T (1989) Finite element model for curved embedded reinforcement. J Eng Mech 115(4):740–754CrossRef Elwi A, Hrudey T (1989) Finite element model for curved embedded reinforcement. J Eng Mech 115(4):740–754CrossRef
Zurück zum Zitat Felix J, Vanderplaats GN (1987) Configuration optimization of trusses subject to strength, displacement and frequency constraints. J Mech Des 109:233–241 Felix J, Vanderplaats GN (1987) Configuration optimization of trusses subject to strength, displacement and frequency constraints. J Mech Des 109:233–241
Zurück zum Zitat Hansen SR, Vanderplaats GN (1988) An approximation method for configuration optimization of trusses. AAIA J 28(1):161–168CrossRef Hansen SR, Vanderplaats GN (1988) An approximation method for configuration optimization of trusses. AAIA J 28(1):161–168CrossRef
Zurück zum Zitat Haslinger J, Mäkinen RAE (2003) Introduction to shape optimization: theory, approximation, and computation. In: Advances in design and control. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA Haslinger J, Mäkinen RAE (2003) Introduction to shape optimization: theory, approximation, and computation. In: Advances in design and control. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA
Zurück zum Zitat Hemp WS (1973) Optimum structures. In: Oxford engineering science series. Clarendon Press, Oxford, UK Hemp WS (1973) Optimum structures. In: Oxford engineering science series. Clarendon Press, Oxford, UK
Zurück zum Zitat Imran I, Pantazopoulou SJ (1996) Experimental study of plain concrete under triaxial stress. ACI Mater J 93(6):589–601 Imran I, Pantazopoulou SJ (1996) Experimental study of plain concrete under triaxial stress. ACI Mater J 93(6):589–601
Zurück zum Zitat Kato J, Ramm E (2010) Optimization of fiber geometry for fiber reinforced composites considering damage. Finite Elem Anal Des 46(5):401–415CrossRef Kato J, Ramm E (2010) Optimization of fiber geometry for fiber reinforced composites considering damage. Finite Elem Anal Des 46(5):401–415CrossRef
Zurück zum Zitat Liang Q (2007) Performance-based optimization of structures: theory and Applications. Wiley, Ltd, Chichester, UK Liang Q (2007) Performance-based optimization of structures: theory and Applications. Wiley, Ltd, Chichester, UK
Zurück zum Zitat Liang Q, Xie Y, Steven G (2000) Optimal topology design of bracing systems for multistory steel frames. J Struct Eng 127(7):823–829CrossRef Liang Q, Xie Y, Steven G (2000) Optimal topology design of bracing systems for multistory steel frames. J Struct Eng 127(7):823–829CrossRef
Zurück zum Zitat Lipson S, Gwin L (1977) The complex method applied to optimal truss configuration. Comput Struct 7(6):461–468CrossRef Lipson S, Gwin L (1977) The complex method applied to optimal truss configuration. Comput Struct 7(6):461–468CrossRef
Zurück zum Zitat Michell AGM (1904) The limits of economy of material in frame-structures. Phil Mag Ser 6 8(47):589–597MATHCrossRef Michell AGM (1904) The limits of economy of material in frame-structures. Phil Mag Ser 6 8(47):589–597MATHCrossRef
Zurück zum Zitat Mijar AR, Swan CC, Arora JS, Kosaka I (1998) Continuum topology optimization for concept design of frame bracing systems. J Struct Eng 124(5):541–550CrossRef Mijar AR, Swan CC, Arora JS, Kosaka I (1998) Continuum topology optimization for concept design of frame bracing systems. J Struct Eng 124(5):541–550CrossRef
Zurück zum Zitat Ohsaki M (2010) Optimization of finite dimensional structures. Taylor & Francis, Boca Raton, FL, USA CrossRef Ohsaki M (2010) Optimization of finite dimensional structures. Taylor & Francis, Boca Raton, FL, USA CrossRef
Zurück zum Zitat Rozvany G (1996) Some shortcomings in Michell’s truss theory. Struct Multidisc Optim 12(4):244–250CrossRef Rozvany G (1996) Some shortcomings in Michell’s truss theory. Struct Multidisc Optim 12(4):244–250CrossRef
Zurück zum Zitat Rozvany G (1997) Some shortcomings in Michell’s truss theory. Struct Multidisc Optim 13(2–3):203–204 Rozvany G (1997) Some shortcomings in Michell’s truss theory. Struct Multidisc Optim 13(2–3):203–204
Zurück zum Zitat Sokół T (2010) A 99 line code for discretized Michell truss optimization written in Mathematica. Struct Multidisc Optim 43(2):181–190 Sokół T (2010) A 99 line code for discretized Michell truss optimization written in Mathematica. Struct Multidisc Optim 43(2):181–190
Zurück zum Zitat Stromberg L, Beghini A, Baker W, Paulino G (2012) Topology optimization for braced frames: combining continuum and beam/column elements. Eng Struct 37:106–124CrossRef Stromberg L, Beghini A, Baker W, Paulino G (2012) Topology optimization for braced frames: combining continuum and beam/column elements. Eng Struct 37:106–124CrossRef
Zurück zum Zitat Svanberg K (1987) The method of moving asymptotes - a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373MathSciNetMATHCrossRef Svanberg K (1987) The method of moving asymptotes - a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373MathSciNetMATHCrossRef
Metadaten
Titel
Truss layout optimization within a continuum
verfasst von
Tomás Zegard
Glaucio H. Paulino
Publikationsdatum
01.07.2013
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 1/2013
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-013-0895-8

Weitere Artikel der Ausgabe 1/2013

Structural and Multidisciplinary Optimization 1/2013 Zur Ausgabe

    Marktübersichten

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