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 3/2021

30.04.2021 | Research Paper

A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties

verfasst von: Dongliang Liu, Zhiping Qiu

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 3/2021

Einloggen

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

search-config
loading …

Abstract

The robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties is studied in this paper. To consider the uncertainty of structures composed of truss-like lattice material during the production and service, a formulation of robust topology optimization is constructed, which takes into account the unknown but bounded uncertainties of both the magnitude and direction of load and the diameter of truss-like lattice material. Besides, the absolute robustness index and the relative robustness index are established to measure the robustness of the structure. By dividing the intervals of uncertain parameters, a method called the subinterval dimension-wise method is proposed to solve the difficulty of determining the response interval of structures caused by large uncertainty. Finally, two examples are given to illustrate the effectiveness of the proposed method and its applicability in complex structures, especially the structure with large uncertainty.
Vorheriger Artikel Topology optimization of fluid flow by using Integer Linear Programming
Nächster Artikel A fast active learning method in design of experiments: multipeak parallel adaptive infilling strategy based on expected improvement

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
Andreassen E, Andreasen CS (2014) How to determine composite material properties using numerical homogenization. Comput Mater Sci 83:488–495CrossRef
Asadpoure A, Tootkaboni M, Guest JK (2011) Robust topology optimization of structures with uncertainties in stiffness – application to truss structures. Comput Struct 89:1131–1141CrossRef
Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1:193–202CrossRef
Bendsøe MP, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69:635–654MATHCrossRef
Ben-Haim Y (1994) A non-probabilistic concept of reliability. Struct Saf 14:227–245CrossRef
Deshpande VS, Fleck NA, Ashby MF (2001) Effective properties of the octet-truss lattice material. J Mech Phys Solids 49:1747–1769MATHCrossRef
Doltsinis I, Zhan K (2004) Robust design of structures using optimization methods. Comput Methods Appl Mech Eng 193:2221–2237MATHCrossRef
Dunning PD, Kim HA (2013) Robust topology optimization: minimization of expected and variance of compliance. AIAA J 51:2656–2664CrossRef
Dunning PD, Kim HA, Mullineux G (2011) Introducing loading uncertainty in topology optimization. AIAA J 49:760–768CrossRef
Elishakoff I (1998) Three versions of the finite element method based on concepts of either stochasticity, fuzziness, or anti-optimization. Appl Mech Rev 51:209–218CrossRef
Guo X, Zhang W, Zhang L (2013) Robust structural topology optimization considering boundary uncertainties. Comput Methods Appl Mech Eng 253:356–368MathSciNetMATHCrossRef
Guo X, Zhang W, Zhong W (2014) Doing topology optimization explicitly and geometrically—a new moving morphable components based framework. J Appl Mech 81(8)
Guo X, Zhao X, Zhang W, Yan J, Sun G (2015) Multi-scale robust design and optimization considering load uncertainties. Comput Methods Appl Mech Eng 283:994–1009MathSciNetMATHCrossRef
Huang X, Zhou SW, Xie YM, Li Q (2013) Topology optimization of microstructures of cellular materials and composites for macrostructures. Comput Mater Sci 67:397–407CrossRef
Jiang C, Bi RG, Lu GY, Han X (2013) Structural reliability analysis using non-probabilistic convex model. Comput Methods Appl Mech Eng 254:83–98MathSciNetMATHCrossRef
Kang Z, Luo Y (2009) Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models. Comput Methods Appl Mech Eng 198:3228–3238MathSciNetMATHCrossRef
Kharmanda G, Olhoff N, Mohamed A, Lemaire M (2004) Reliability-based topology optimization. Struct Multidiscip Optim 26:295–307CrossRef
Kogiso N, Ahn W, Nishiwaki S, Izui K, Yoshimura M (2008) Robust topology optimization for compliant mechanisms considering uncertainty of applied loads. J Adv Mech Des Syst Manuf 2:96–107CrossRef
Liu J, Gea HC (2018) Robust topology optimization under multiple independent unknown-but-bounded loads. Comput Methods Appl Mech Eng 329:464–479MathSciNetMATHCrossRef
Luo Y, Kang Z, Yue Z (2012) Maximal stiffness design of two-material structures by topology optimization with nonprobabilistic reliability. AIAA J 50:1993–2003CrossRef
Park SI, Rosen DW, Choi SK, Duty CE (2014) Effective mechanical properties of lattice material fabricated by material extrusion additive manufacturing ☆. Addit Manuf 1-4:12–23
Peng X, Li J, Jiang S, Liu Z (2018) Robust topology optimization of continuum structures with loading uncertainty using a perturbation method. Eng Optim 50:584–598MathSciNetCrossRef
Qiu Z (2003) Comparison of static response of structures using convex models and interval analysis method. Int J Numer Methods Eng 56:1735–1753MATHCrossRef
Qiu Z, Elishakoff I (1998) Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Comput Methods Appl Mech Eng 152:361–372MATHCrossRef
Qiu ZP, Wang L (2016) The need for introduction of non-probabilistic interval conceptions into structural analysis and design. Sci China Phys Mech Astron 59:114632CrossRef
Qiu Z, Liu D, Wang L, Xia H (2019) Scale-span stress-constrained topology optimization for continuum structures integrating truss-like microstructures and solid material. Comput Methods Appl Mech Eng 355:900–925MathSciNetMATHCrossRef
Rozvany GIN, Zhou M, Birker T (1992) Generalized shape optimization without homogenization. Structural Optimization 4:250–252CrossRef
Schevenels M, Lazarov BS, Sigmund O (2015) Robust topology optimization accounting for spatially varying manufacturing errors. Comput Methods Appl Mech Eng 200:3613–3627MATHCrossRef
Svanberg K (1987) The method of moving asymptotes—a new method for structural optimization. Int J Numer Methods Eng 24:359–373MathSciNetMATHCrossRef
Taguchi G (1993) Robust technology development. Mech Eng-CIME 115:60–63
Tootkaboni M, Asadpoure A, Guest JK (2012) Topology optimization of continuum structures under uncertainty–a polynomial chaos approach. Comput Methods Appl Mech Eng 201:263–275MathSciNetMATHCrossRef
Wang L, Liu Y (2020) A novel method of distributed dynamic load identification for aircraft structure considering multi-source uncertainties. Struct Multidiscip Optim 61(5):1929–1952
Wang C, Qiu Z (2016) Subinterval perturbation methods for uncertain temperature field prediction with large fuzzy parameters. Int J Therm Sci 100:381–390CrossRef
Wang F, Lazarov BS, Sigmund O (2011) On projection methods, convergence and robust formulations in topology optimization. Springer-Verlag New York, Inc., New YorkMATHCrossRef
Wang X, Wang L, Qiu Z (2014) A feasible implementation procedure for interval analysis method from measurement data. Appl Math Model 38:2377–2397MathSciNetMATHCrossRef
Wang L, Liu D, Yang Y, Wang X, Qiu Z (2017a) A novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertainties. Comput Methods Appl Mech Eng 326:573–595MathSciNetMATHCrossRef
Wang X, Geng X, Wang L, Wang R, Shi Q (2017b) Motion error based robust topology optimization for compliant mechanisms under material dispersion and uncertain forces. Struct Multidiscip Optim 57(6):2161–2175
Wang L, Xia H, Yang Y, Cai Y, Qiu Z (2018a) A novel approach of reliability-based topology optimization for continuum structures under interval uncertainties. Rapid Prototyp J 25(9):1455–1474
Wang L, Cai Y, Liu D (2018b) Multiscale reliability-based topology optimization methodology for truss-like microstructures with unknown-but-bounded uncertainties. Comput Methods Appl Mech Eng 339:358–388MathSciNetMATHCrossRef
Wang L, Xiong C, Wang X, Xu M, Li Y (2018c) A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis. Appl Math Model 59:680–695MathSciNetMATHCrossRef
Wang X, Ren Q, Chen W, Liu Y, Wang L, Ding X (2019a) Structural design optimization based on the moving baseline strategy. Acta Mech Solida Sin 33(3):307–326
Wang L, Wang X, Li Y, Hu J (2019b) A non-probabilistic time-variant reliable control method for structural vibration suppression problems with interval uncertainties. Mech Syst Signal Process 115:301–322CrossRef
Wang L, Liu Y, Liu Y (2019c) An inverse method for distributed dynamic load identification of structures with interval uncertainties. Adv Eng Softw 131:77–89CrossRef
Wang X, Luo Z, Geng X (2020) Experimental verification of robust topology optimization for compliant mechanism. Rapid Prototyp J 26(9):1485–1502
Wu J, Luo Z, Zhang N, Zhang Y (2015) A new uncertain analysis method and its application in vehicle dynamics. Mech Syst Signal Process 50:659–675CrossRef
Xia B, Yu D (2012) Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters. J Sound Vib 331:3774–3790CrossRef
Xia B, Yu D, Liu J (2013) Interval and subinterval perturbation methods for a structural-acoustic system with interval parameters. J Fluids Struct 38:146–163CrossRef
Xiong C, Wang L, Liu G, Shi Q (2019) An iterative dimension-by-dimension method for structural interval response prediction with multidimensional uncertain variables. Aerosp Sci Technol 86:572–581CrossRef
Xu M, Qiu Z (2014) A dimension-wise method for the static analysis of structures with interval parameters. Sci China Phys Mech Astron 57:1934–1945CrossRef
Zhang X, He J, Takezawa A, Kang Z (2018) Robust topology optimization of phononic crystals with random field uncertainty. Int J Numer Methods Eng 115:1154–1173MathSciNetCrossRef
Zhao J, Wang C (2014a) Robust structural topology optimization under random field loading uncertainty. Struct Multidiscip Optim 50:517–522MathSciNetCrossRef
Zhao J, Wang C (2014b) Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices. Comput Methods Appl Mech Eng 273:204–218MathSciNetMATHCrossRef
Metadaten
Titel
A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties
verfasst von
Dongliang Liu
Zhiping Qiu
Publikationsdatum
30.04.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 3/2021
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-021-02911-5

Weitere Artikel der Ausgabe 3/2021

Structural and Multidisciplinary Optimization 3/2021 Zur Ausgabe

Research Paper

Concurrent material and structure optimization of multiphase hierarchical systems within a continuum micromechanics framework

Research Paper

Immune particle swarm optimization of SUV rollover crashworthiness and weight

Research Paper

Parallel multi-fidelity expected improvement method for efficient global optimization

Research Paper

Design sensitivity analysis for transient responses of viscoelastically damped systems using model order reduction techniques

Industrial Application Paper

Sensitivity analysis and optimization of a CO2 centrifugal compressor impeller with a vaneless diffuser

Research Paper

Topology optimization of non-Fourier heat conduction problems considering global thermal dissipation energy minimization

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