Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 3/2012

01.03.2012 | Research Paper

Singular optimum topology of skeletal structures with frequency constraints by AGGA

verfasst von: Xiaofeng Liu, Gengdong Cheng, Jun Yan, Lei Jiang

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 3/2012

Einloggen

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

search-config
loading …

Abstract

This paper studies singular optimum topology of skeletal structures with frequency constraints. To capture the local flexural vibration modes of members, skeletal structure should be approximately modeled as frame structure. However, the topology optimization of frame structures has the characteristics of singular optimum and disjoint feasible domain. For the discrete nature of such problem, the optimum design can’t be obtained by continuous search. To handle the difficulty, the automatic grouping genetic algorithm with improvements in crossover operator and penalty function is applied to optimize frame structures. Two examples demonstrate the effectiveness of the proposed approach.
Vorheriger Artikel Robust multidisciplinary UAS design optimisation

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
Literatur
Arora JS, Haug EJ, Rim K (1975) Optimal design of plane frame. ASCE J Struct Div 101(10):2063–2078
Barbosa HJC, Lemonge ACC (2005) A genetic algorithm encoding for a class of cardinality constraints. In: Beyer HG et al (eds) Proceedings of the genetic and evolutionary computation conference GECCO 2005. ACM, New York, pp 1193–1120CrossRef
Barbosa HJC, Lemonge ACC, Borges CCH (2008) A genetic algorithm encoding for cardinality constraints and automatic variable linking in structural optimization. Eng Struct 30(12):3708–3723CrossRef
Cheng GD, Guo X (1997) ε-relaxed approach in structural topology optimization. Struct Optim 13(4):258–266CrossRef
Cheng GD, Guo X (1998) A note on a jellyfish-like feasible domain in structural topology optimization. Eng Optim 31(1):1–24MathSciNetCrossRef
Cheng GD, Jiang Z (1992) Study on topology optimization with stress constraints. Eng Optim 20(2):129–148CrossRef
Goldberg DE (1989) Genetic algorithms in searching, optimization and machine learning. Addison Wesley, New York
Grandhi RV (1993) Structural optimizaiton with frequency constraints-a review. AIAA J 31(12):2296–2303MATHCrossRef
Guo X, Cheng GD, Olhoff N (2005) Optimum design of truss topology under buckling constraints. Struct Multidisc Optim 30(3):169–180CrossRef
Kane C, Schoenauer M (1996) Topological optimum design using genetic algorithms. Control Cybern 25(5):1059–1088MathSciNetMATH
Khot NS (1985) Optimization of structures with multiple frequency constraints. Comput Struct 20(5):869–876MATHCrossRef
Kirsch U (1990) On singular topologies in optimum structural design. Struct Optim 2(3):133–142CrossRef
Koziel S, Michalewicz Z (1999) Evolutionary algorithms, homomorphous mappings, and constrained parameter optimization. Evol Comput 7(1):19–44CrossRef
Leite JPB, Topping BHV (1998) Improved genetic operators for structural engineering optimization. Adv Eng Softw 29:7–9CrossRef
Lemonge ACC, Barbosa HJC (2004) A adaptive penalty scheme for genetic algorithms in structural optimizaiton. Int J Numer Methods Eng 59(5):703–736MATHCrossRef
Nakamura T, Ohsaki M (1992) A natural generator of optimum topology of plane trusses for specified fundamental frequency. Comput Methods Appl Mech Eng 94(1):113–129MATHCrossRef
Ohsaki M, Fujisawa K, Katoh N, Kanno Y (1999) Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints. Comput Methods Appl Mech Eng 180(1–2):203–217MATHCrossRef
Olhoff N (1976) Optimization of vibrating beams with respect to higher order natural frequencies. J Struct Mech 4(1):87–122MathSciNetCrossRef
Olhoff N (1977) Maximizing higher order eigenfrequencies of beams with constraints on the design geometry. J Struct Mech 5(2):107–134MathSciNetCrossRef
Rozvany GIN, Birker T (1994) On singular topologies in exact layout optimization. Struct Optim 8(4):228–235CrossRef
Rubin CP (1970) Minimum weight design of complex structures subject to a frequency constraint. AIAA J 8(5):923–927CrossRef
Sadek EA (1986) Dynamic optimization of framed structures with variable layout. Int J Numer Methods Eng 23(7):1273–1294MATHCrossRef
Salajegheh E, Gholizadeh S, Torkzadeh P (2007) Optimal design of structures with frequency constraints using wavelet back propagation neural. Asian J Civil Eng 8(1):97–111MATH
Sedaghati R (2005) Benchmark case studies in structural design optimization using the force method. Int J Solids Struct 42(21–22):5848–5871MATHCrossRef
Sedaghati R, Suleman A, Tabarrok B (2002) Structural optimization with frequency constraints using the finite element force method. AIAA J 40(2):382–388CrossRef
Sergeyev O, Mroz Z (2000) Sensitivity analysis and optimal design of 3D frame structures for stress and frequency constraints. Comput Struct 75(2):167–185CrossRef
Stolpe M, Svanberg K (2001) On the trajectories of the epsilon-relaxation approach for stress-constrained truss topology optimization. Struct Multidisc Optim 21(2):140–151CrossRef
Sved G, Ginos Z (1968) Structural optimization under multiple loading. Int J Mech Sci 10(10):803–805CrossRef
Togan V, Daloglu AT (2008) An improved genetic algorithm with initial population strategy and self-adaptive member grouping. Comput Struct 86(11–12):1204–1218CrossRef
Tong WH, Liu GR (2001) An optimization procedure for truss structure with discrete design variables and dynamic constraints. Comput Struct 79(2):155–162CrossRef
Wang D, Zhang WH, Jiang JS (2004) Truss optimization on shape and sizing with frequency constraints. AIAA J 42(3):622–630CrossRef
Metadaten
Titel
Singular optimum topology of skeletal structures with frequency constraints by AGGA
verfasst von
Xiaofeng Liu
Gengdong Cheng
Jun Yan
Lei Jiang
Publikationsdatum
01.03.2012
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 3/2012
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-011-0708-x

Weitere Artikel der Ausgabe 3/2012

Structural and Multidisciplinary Optimization 3/2012 Zur Ausgabe

Research Paper

Robust multidisciplinary UAS design optimisation

Educational Article

PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes

Educational Article

PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab

Research Paper

Optimum topology design of various geometrically nonlinear latticed domes using improved harmony search method

Research Paper

Min–Median–Max metamodel-based unconstrained nonlinear optimization problems

Research Paper

Dynamical systems, SIMP, bone remodeling and time dependent loads

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
    Bildnachweise