Skip to main content
Erschienen in: Structural and Multidisciplinary Optimization 3/2017

11.07.2017 | RESEARCH PAPER

Concurrent multi-scale design optimization of composite frames with manufacturing constraints

verfasst von: Jun Yan, Zunyi Duan, Erik Lund, Jingyuan Wang

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 3/2017

Einloggen

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

search-config
loading …

Abstract

This paper presents a gradient based concurrent multi-scale design optimization method for composite frames considering specific manufacturing constraints raised from the aerospace industrial requirements. Geometrical parameters of the frame components at the macro-structural scale and the discrete fiber winding angles at the micro-material scale are introduced as the independent design variables at the two geometrical scales. The DMO (Discrete Material Optimization) approach is utilized to couple the two geometrical scales and realize the simultaneous optimization of macroscopic topology and microscopic material selection. Six kinds of manufacturing constraints are explicitly included in the optimization model as series of linear inequalities or equalities. The capabilities of the proposed optimization model are demonstrated with the example of compliance minimization, subject to constraint on the composite volume. The linear constraints and optimization problems are solved by Sequential Linear Programming (SLP) optimization algorithm with move limit strategy. Numerical results show the potential of weight saving and structural robustness design with the proposed concurrent optimization model. The multi-scale optimization model, considering specific manufacturing constraints, provides new choices for the design of the composite frame structure in aerospace and other industries.

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!

Literatur
Zurück zum Zitat Bailie JA, Ley RP, Pasricha A (1997) A summary and review of composite laminate design guidelines. Technical report NASA, NAS1–19347. Northrop Grumman-Military Aircraft Systems Division Bailie JA, Ley RP, Pasricha A (1997) A summary and review of composite laminate design guidelines. Technical report NASA, NAS1–19347. Northrop Grumman-Military Aircraft Systems Division
Zurück zum Zitat Baker AA, Dutton SE, Kelly DW (2004) Composite materials for aircraft structures, 2nd edn. American Institute of Aeronautics and Astronautics Baker AA, Dutton SE, Kelly DW (2004) Composite materials for aircraft structures, 2nd edn. American Institute of Aeronautics and Astronautics
Zurück zum Zitat Bakis CE, Bank LC, Brown VL, Cosenza E, Davalos JF, Lesko JJ, Machida A, Rizkalla SH, Triantafillou TC (2002) Fiber-reinforced polymer composites for construction-state-of-the-art review. J Compos Constr 6(2):73–87CrossRef Bakis CE, Bank LC, Brown VL, Cosenza E, Davalos JF, Lesko JJ, Machida A, Rizkalla SH, Triantafillou TC (2002) Fiber-reinforced polymer composites for construction-state-of-the-art review. J Compos Constr 6(2):73–87CrossRef
Zurück zum Zitat Bendsoe MP (1989) Optimal shape design as a material distribution problem. Struct Multidiscip Optim 1(4):193–202CrossRef Bendsoe MP (1989) Optimal shape design as a material distribution problem. Struct Multidiscip Optim 1(4):193–202CrossRef
Zurück zum Zitat Bendsøe M, Sigmund O (2003) Topology optimization-Theory, Methods and Applications, 2nd edn. Springer-Verlag, Berlin HeidelbergMATH Bendsøe M, Sigmund O (2003) Topology optimization-Theory, Methods and Applications, 2nd edn. Springer-Verlag, Berlin HeidelbergMATH
Zurück zum Zitat Blasques JP (2014) Multi-material topology optimization of laminated composite beams with eigenfrequency constraints. Compos Struct 111:45–55CrossRef Blasques JP (2014) Multi-material topology optimization of laminated composite beams with eigenfrequency constraints. Compos Struct 111:45–55CrossRef
Zurück zum Zitat Blasques J, Lazarov B (2012) User's manual for BECAS: a cross section analysis tool for anisotropic and inhomogeneous beam sections of arbitrary geometry. Risø DTU–National Laboratory for Sustainable Energy Blasques J, Lazarov B (2012) User's manual for BECAS: a cross section analysis tool for anisotropic and inhomogeneous beam sections of arbitrary geometry. Risø DTU–National Laboratory for Sustainable Energy
Zurück zum Zitat Blasques JP, Stolpe M (2011) Maximum stiffness and minimum weight optimization of laminated composite beams using continuous fiber angles. Struct Multidiscip Optim 43(4):573–588CrossRefMATH Blasques JP, Stolpe M (2011) Maximum stiffness and minimum weight optimization of laminated composite beams using continuous fiber angles. Struct Multidiscip Optim 43(4):573–588CrossRefMATH
Zurück zum Zitat Blasques JP, Stolpe M (2012) Multi-material topology optimization of laminated composite beam cross sections. Compos Struct 94(11):3278–3289CrossRef Blasques JP, Stolpe M (2012) Multi-material topology optimization of laminated composite beam cross sections. Compos Struct 94(11):3278–3289CrossRef
Zurück zum Zitat Bruyneel M (2011) SFP - a new parameterization based on shape functions for optimal material selection: application to conventional composite plies. Struct Multidiscip Optim 43(1):17–27CrossRef Bruyneel M (2011) SFP - a new parameterization based on shape functions for optimal material selection: application to conventional composite plies. Struct Multidiscip Optim 43(1):17–27CrossRef
Zurück zum Zitat Bruyneel M, Beghin C, Craveur G, Grihon S, Sosonkina M (2012) Stacking sequence optimization for constant stiffness laminates based on a continuous optimization approach. Struct Multidiscip Optim 46(6):783–794CrossRef Bruyneel M, Beghin C, Craveur G, Grihon S, Sosonkina M (2012) Stacking sequence optimization for constant stiffness laminates based on a continuous optimization approach. Struct Multidiscip Optim 46(6):783–794CrossRef
Zurück zum Zitat Costin DP, Wang BP (1993) Optimum design of a composite structure with manufacturing constraints. Thin-Walled Struct 17(3):185–202CrossRef Costin DP, Wang BP (1993) Optimum design of a composite structure with manufacturing constraints. Thin-Walled Struct 17(3):185–202CrossRef
Zurück zum Zitat Deng JD, Yan J, Cheng GD (2013) Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material. Struct Multidiscip Optim 47(4):583–597MathSciNetCrossRefMATH Deng JD, Yan J, Cheng GD (2013) Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material. Struct Multidiscip Optim 47(4):583–597MathSciNetCrossRefMATH
Zurück zum Zitat Duan ZY, Yan J, Zhao GZ (2014) Integrated optimization of the material and structure of composites based on the Heaviside penalization of discrete material model. Struct Multidiscip Optim 51(3):721–732CrossRef Duan ZY, Yan J, Zhao GZ (2014) Integrated optimization of the material and structure of composites based on the Heaviside penalization of discrete material model. Struct Multidiscip Optim 51(3):721–732CrossRef
Zurück zum Zitat Eschenauer HA, Olhoff N (2001) Topology optimization of continuum structures: A review. Appl Mech Rev 54(4):331–390CrossRef Eschenauer HA, Olhoff N (2001) Topology optimization of continuum structures: A review. Appl Mech Rev 54(4):331–390CrossRef
Zurück zum Zitat Ferreira RTL, Rodrigues HC, Guedes J, Hernandes JA (2013) Hierarchical optimization of laminated fiber reinforced composites. Compos Struct 107:246–259CrossRef Ferreira RTL, Rodrigues HC, Guedes J, Hernandes JA (2013) Hierarchical optimization of laminated fiber reinforced composites. Compos Struct 107:246–259CrossRef
Zurück zum Zitat Fletcher R, Leyffer S, Toint PL (1998) On the global convergence of an SLP-filter algorithm. Numerical Analysis Report NA/183, University of Dundee, UK, August Fletcher R, Leyffer S, Toint PL (1998) On the global convergence of an SLP-filter algorithm. Numerical Analysis Report NA/183, University of Dundee, UK, August
Zurück zum Zitat Gao T, Zhang W, Duysinx P (2012) A bi-value coding parameterization scheme for the discrete optimal orientation design of the composite laminate. Int J Numer Methods Eng 91(1):98–114CrossRefMATH Gao T, Zhang W, Duysinx P (2012) A bi-value coding parameterization scheme for the discrete optimal orientation design of the composite laminate. Int J Numer Methods Eng 91(1):98–114CrossRefMATH
Zurück zum Zitat Gao T, Zhang WH, Duysinx P (2013) Simultaneous design of structural layout and discrete fiber orientation using bi-value coding parameterization and volume constraint. Struct Multidiscip Optim 48(6):1075–1088MathSciNetCrossRef Gao T, Zhang WH, Duysinx P (2013) Simultaneous design of structural layout and discrete fiber orientation using bi-value coding parameterization and volume constraint. Struct Multidiscip Optim 48(6):1075–1088MathSciNetCrossRef
Zurück zum Zitat Ghiasi H, Pasini D, Lessard L (2009) Optimum stacking sequence design of composite materials Part I: Constant stiffness design. Compos Struct 90(1):1–11CrossRef Ghiasi H, Pasini D, Lessard L (2009) Optimum stacking sequence design of composite materials Part I: Constant stiffness design. Compos Struct 90(1):1–11CrossRef
Zurück zum Zitat Ghiasi H, Fayazbakhsh K, Pasini D, Lessard L (2010) Optimum stacking sequence design of composite materials Part II: Variable stiffness design. Compos Struct 93(1):1–13CrossRef Ghiasi H, Fayazbakhsh K, Pasini D, Lessard L (2010) Optimum stacking sequence design of composite materials Part II: Variable stiffness design. Compos Struct 93(1):1–13CrossRef
Zurück zum Zitat Gomes FA, Senne TA (2011) An SLP algorithm and its application to topology optimization. Comput Appl Math 30(1):53–89MathSciNetMATH Gomes FA, Senne TA (2011) An SLP algorithm and its application to topology optimization. Comput Appl Math 30(1):53–89MathSciNetMATH
Zurück zum Zitat Hvejsel CF, Lund E (2011) Material interpolation schemes for unified topology and multi-material optimization. Struct Multidiscip Optim 43(6):811–825CrossRefMATH Hvejsel CF, Lund E (2011) Material interpolation schemes for unified topology and multi-material optimization. Struct Multidiscip Optim 43(6):811–825CrossRefMATH
Zurück zum Zitat Hvejsel CF, Lund E, Stolpe M (2011) Optimization strategies for discrete multi-material stiffness optimization. Struct Multidiscip Optim 44(2):149–163CrossRef Hvejsel CF, Lund E, Stolpe M (2011) Optimization strategies for discrete multi-material stiffness optimization. Struct Multidiscip Optim 44(2):149–163CrossRef
Zurück zum Zitat Ibrahim S, Polyzois D, Hassan S (2000) Development of glass fiber reinforced plastic poles for transmission and distribution lines. Can J Civ Eng 27(5):850–858CrossRef Ibrahim S, Polyzois D, Hassan S (2000) Development of glass fiber reinforced plastic poles for transmission and distribution lines. Can J Civ Eng 27(5):850–858CrossRef
Zurück zum Zitat Irisarri FX, Lasseigne A, Leroy FH, Riche RL (2014) Optimal design of laminated composite structures with ply drops using stacking sequence tables. Compos Struct 107:559–569CrossRef Irisarri FX, Lasseigne A, Leroy FH, Riche RL (2014) Optimal design of laminated composite structures with ply drops using stacking sequence tables. Compos Struct 107:559–569CrossRef
Zurück zum Zitat Kassapoglou C (2013) Design and analysis of composite structures: with applications to aerospace structures, 2nd edn. Sons, John Wiley &CrossRef Kassapoglou C (2013) Design and analysis of composite structures: with applications to aerospace structures, 2nd edn. Sons, John Wiley &CrossRef
Zurück zum Zitat Liu L, Yan J, Cheng GD (2008) Optimum structure with homogeneous optimum truss-like material. Comput Struct 86(13):1417–1425CrossRef Liu L, Yan J, Cheng GD (2008) Optimum structure with homogeneous optimum truss-like material. Comput Struct 86(13):1417–1425CrossRef
Zurück zum Zitat Liu DZ, Toroporov VV, Querin OM, David CB (2011) Bilevel optimization of blended composite wing panels. J Aircr 48(1):107–118CrossRef Liu DZ, Toroporov VV, Querin OM, David CB (2011) Bilevel optimization of blended composite wing panels. J Aircr 48(1):107–118CrossRef
Zurück zum Zitat Lund E (1994) Finite element based design sensitivity analysis and optimization. Institute of Mechanical Engineering, Aalborg University, Denmark Lund E (1994) Finite element based design sensitivity analysis and optimization. Institute of Mechanical Engineering, Aalborg University, Denmark
Zurück zum Zitat Lund E (2009) Buckling topology optimization of laminated multi-material composite shell structures. Compos Struct 91(2):158–167CrossRef Lund E (2009) Buckling topology optimization of laminated multi-material composite shell structures. Compos Struct 91(2):158–167CrossRef
Zurück zum Zitat Lund E, Stegmann J (2005) On structural optimization of composite shell structures using a discrete constitutive parametrization. Wind Energy 8(1):109–124CrossRefMATH Lund E, Stegmann J (2005) On structural optimization of composite shell structures using a discrete constitutive parametrization. Wind Energy 8(1):109–124CrossRefMATH
Zurück zum Zitat Mallick PK (2007) Fiber-reinforced composites: materials, manufacturing, and design. CRC press Mallick PK (2007) Fiber-reinforced composites: materials, manufacturing, and design. CRC press
Zurück zum Zitat Manne PM, Tsai SW (1998) Design optimization of composite plates: Part II—structural optimization by plydrop tapering. J Compos Mater 32(6):572–598CrossRef Manne PM, Tsai SW (1998) Design optimization of composite plates: Part II—structural optimization by plydrop tapering. J Compos Mater 32(6):572–598CrossRef
Zurück zum Zitat Mehrotra S (1992) On the implementation of a primal-dual interior point method. SIAM J Optim 2(4):575–601 Mehrotra S (1992) On the implementation of a primal-dual interior point method. SIAM J Optim 2(4):575–601
Zurück zum Zitat Niu B, Yan J, Cheng GD (2009) Optimum structure with homogeneous optimum cellular material for maximum fundamental frequency. Struct Multidiscip Optim 39(2):115–132CrossRef Niu B, Yan J, Cheng GD (2009) Optimum structure with homogeneous optimum cellular material for maximum fundamental frequency. Struct Multidiscip Optim 39(2):115–132CrossRef
Zurück zum Zitat Niu B, Olhoff N, Lund E, Cheng GD (2010) Discrete material optimization of vibrating laminated composite plates for minimum sound radiation. Int J Solids Struct 47(16):2097–2114CrossRefMATH Niu B, Olhoff N, Lund E, Cheng GD (2010) Discrete material optimization of vibrating laminated composite plates for minimum sound radiation. Int J Solids Struct 47(16):2097–2114CrossRefMATH
Zurück zum Zitat Rodrigues H, Guedes JM, Bendsoe M (2002) Hierarchical optimization of material and structure. Struct Multidiscip Optim 24(1):1–10CrossRef Rodrigues H, Guedes JM, Bendsoe M (2002) Hierarchical optimization of material and structure. Struct Multidiscip Optim 24(1):1–10CrossRef
Zurück zum Zitat Schutze R (1997) Lightweight carbon fibre rods and truss structures. Mater Des 18(4–6):231–238CrossRef Schutze R (1997) Lightweight carbon fibre rods and truss structures. Mater Des 18(4–6):231–238CrossRef
Zurück zum Zitat Seresta O, Gurdal Z, Adams DB, Watson LT (2007) Optimal design of composite wing structures with blended laminates. Compos Part B 38(4):469–480CrossRef Seresta O, Gurdal Z, Adams DB, Watson LT (2007) Optimal design of composite wing structures with blended laminates. Compos Part B 38(4):469–480CrossRef
Zurück zum Zitat Sigmund O, Torquato S (1997) Design of materials with extreme thermal expansion using a three-phase topology optimization method. J Mech Phys Solids 45(6):1037–1067MathSciNetCrossRef Sigmund O, Torquato S (1997) Design of materials with extreme thermal expansion using a three-phase topology optimization method. J Mech Phys Solids 45(6):1037–1067MathSciNetCrossRef
Zurück zum Zitat Sørensen SN, Lund E (2013) Topology and thickness optimization of laminated composites including manufacturing constraints. Struct Multidiscip Optim 48(2):249–265MathSciNetCrossRef Sørensen SN, Lund E (2013) Topology and thickness optimization of laminated composites including manufacturing constraints. Struct Multidiscip Optim 48(2):249–265MathSciNetCrossRef
Zurück zum Zitat Sørensen SN, Sørensen R, Lund E (2014) DMTO–a method for discrete material and thickness optimization of laminated composite structures. Struct Multidiscip Optim 50(1):25–47CrossRef Sørensen SN, Sørensen R, Lund E (2014) DMTO–a method for discrete material and thickness optimization of laminated composite structures. Struct Multidiscip Optim 50(1):25–47CrossRef
Zurück zum Zitat Stegmann J, Lund E (2005) Discrete material optimization of general composite shell structures. Int J Numer Methods Eng 62(14):2009–2027CrossRefMATH Stegmann J, Lund E (2005) Discrete material optimization of general composite shell structures. Int J Numer Methods Eng 62(14):2009–2027CrossRefMATH
Zurück zum Zitat Stolpe M, Svanberg K (2001) An alternative interpolation scheme for minimum compliance topology optimization. Struct Multidiscip Optim 22(2):116–124CrossRef Stolpe M, Svanberg K (2001) An alternative interpolation scheme for minimum compliance topology optimization. Struct Multidiscip Optim 22(2):116–124CrossRef
Zurück zum Zitat Wang BP, Costin DP (1992) Optimum design of a composite structure with three types of manufacturing constraints. AIAA J 30(6):1667–1669CrossRef Wang BP, Costin DP (1992) Optimum design of a composite structure with three types of manufacturing constraints. AIAA J 30(6):1667–1669CrossRef
Zurück zum Zitat Yan J, Hu WB, Wang ZH, Duan ZY (2014) Size effect of lattice material and minimum weight design. Acta Mech Sinica 30(2):191–197CrossRefMATH Yan J, Hu WB, Wang ZH, Duan ZY (2014) Size effect of lattice material and minimum weight design. Acta Mech Sinica 30(2):191–197CrossRefMATH
Zurück zum Zitat Yan J, Yang SX, Duan ZY, Yang CQ (2015a) Minimum compliance optimization of a thermoelastic lattice structure with size-coupled effects. J Therm Stresses 38(3):338–357CrossRef Yan J, Yang SX, Duan ZY, Yang CQ (2015a) Minimum compliance optimization of a thermoelastic lattice structure with size-coupled effects. J Therm Stresses 38(3):338–357CrossRef
Zurück zum Zitat Yan J, Hu WB, Duan ZY (2015b) Structure/material concurrent optimization of lattice materials based on extended multiscale finite element method. Int J Multiscale Comput Eng 13(1):73–90CrossRef Yan J, Hu WB, Duan ZY (2015b) Structure/material concurrent optimization of lattice materials based on extended multiscale finite element method. Int J Multiscale Comput Eng 13(1):73–90CrossRef
Zurück zum Zitat Zhang Y (1998) Solving large-scale linear programs by interior-point methods under the Matlab environment. Optim Methods Softw 10(1):1–31 Zhang Y (1998) Solving large-scale linear programs by interior-point methods under the Matlab environment. Optim Methods Softw 10(1):1–31
Metadaten
Titel
Concurrent multi-scale design optimization of composite frames with manufacturing constraints
verfasst von
Jun Yan
Zunyi Duan
Erik Lund
Jingyuan Wang
Publikationsdatum
11.07.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 3/2017
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-017-1750-0

Weitere Artikel der Ausgabe 3/2017

Structural and Multidisciplinary Optimization 3/2017 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.