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Erschienen in: Structural and Multidisciplinary Optimization 4/2017

29.08.2016 | RESEARCH PAPER

Topology optimization for hybrid additive-subtractive manufacturing

verfasst von: Jikai Liu, Albert C. To

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 4/2017

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Abstract

Hybrid additive-subtractive manufacturing is gaining popularity by making full use of geometry complexity produced by additive manufacturing and dimensional accuracy derived from subtractive machining. Part design for this hybrid manufacturing approach has been done by trial-and-error, and no dedicated design methodology exists for this manufacturing approach. To address this issue, this work presents a topology optimization method for hybrid additive and subtractive manufacturing. To be specific, the boundary segments of the input design domain are categorized into two types: (i) Freeform boundary segments freely evolve through the casting SIMP method, and (ii) shape preserved boundary segments suppress the freeform evolvement and are composed of machining features through a feature fitting algorithm. Given the manufacturing strategy, the topology design is produced through additive manufacturing and the shape preserved boundary segments will be processed by post-machining. This novel topology optimization algorithm is developed under a unified SIMP and level set framework. The effectiveness of the algorithm is proved through a few numerical case studies.

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Literatur
Zurück zum Zitat Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194:363–393MathSciNetCrossRefMATH Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194:363–393MathSciNetCrossRefMATH
Zurück zum Zitat Allaire G, Jouve F, Michailidis G (2013) Casting constraints in structural optimization via a level-set method. 10th World Congress Struct Multidisciplinary Optimization, Orlando, Florida, USA Allaire G, Jouve F, Michailidis G (2013) Casting constraints in structural optimization via a level-set method. 10th World Congress Struct Multidisciplinary Optimization, Orlando, Florida, USA
Zurück zum Zitat Allaire G, Jouve F, Michailidis G (2016) Thickness control in structural optimization via a level set method. Struct Multidisc Optim 53:1349–4382MathSciNetCrossRef Allaire G, Jouve F, Michailidis G (2016) Thickness control in structural optimization via a level set method. Struct Multidisc Optim 53:1349–4382MathSciNetCrossRef
Zurück zum Zitat Bendsoe MP, Sigmund O (2004) Topology optimization: theory, methods and applications, 2nd edn. Springer, BerlinCrossRefMATH Bendsoe MP, Sigmund O (2004) Topology optimization: theory, methods and applications, 2nd edn. Springer, BerlinCrossRefMATH
Zurück zum Zitat Bracket D, Ashcroft I, Hague R (2011) Topology optimization for additive manufacturing. 22nd Annual International Solid Freeform Fabrication Symposium, Austin, TX Bracket D, Ashcroft I, Hague R (2011) Topology optimization for additive manufacturing. 22nd Annual International Solid Freeform Fabrication Symposium, Austin, TX
Zurück zum Zitat Chen JQ, Shapiro V, Suresh K, Tsukanov I (2007) Shape optimization with topological changes and parametric control. Int J Numer Methods Eng 71:313–346MathSciNetCrossRefMATH Chen JQ, Shapiro V, Suresh K, Tsukanov I (2007) Shape optimization with topological changes and parametric control. Int J Numer Methods Eng 71:313–346MathSciNetCrossRefMATH
Zurück zum Zitat Chen JQ, Freytag M, Shapiro V (2008a) Shape sensitivity of constructively represented geometric models. Comput Aided Geom Des 25:470–488MathSciNetCrossRefMATH Chen JQ, Freytag M, Shapiro V (2008a) Shape sensitivity of constructively represented geometric models. Comput Aided Geom Des 25:470–488MathSciNetCrossRefMATH
Zurück zum Zitat Chen SK, Wang MY, Liu AQ (2008b) Shape feature control in structural topology optimization. Comput Aided Des 40:951–962CrossRef Chen SK, Wang MY, Liu AQ (2008b) Shape feature control in structural topology optimization. Comput Aided Des 40:951–962CrossRef
Zurück zum Zitat Cheng GD, Mei YL, Wang XM (2006) A feature-based structural topology optimization method. IUTAM Symp Topologis Design Optimization Struct, Mach Mater, 505–514 Cheng GD, Mei YL, Wang XM (2006) A feature-based structural topology optimization method. IUTAM Symp Topologis Design Optimization Struct, Mach Mater, 505–514
Zurück zum Zitat Deaton JD, Grandhi RV (2014) A survey of structural and multidisciplinary continuum topology optimization: post 2000. Struct Multidisc Optim 49:1–38MathSciNetCrossRef Deaton JD, Grandhi RV (2014) A survey of structural and multidisciplinary continuum topology optimization: post 2000. Struct Multidisc Optim 49:1–38MathSciNetCrossRef
Zurück zum Zitat Eschenauer HA, Olhoff N (2001) Topology optimization of continuum structures: a review. Appl Mech Rev 54:331–390CrossRef Eschenauer HA, Olhoff N (2001) Topology optimization of continuum structures: a review. Appl Mech Rev 54:331–390CrossRef
Zurück zum Zitat Flynn JM, Shokrani A, Newman ST, Dhokia V (2016) Hybrid additive and subtractive machine tools – research and industrial developments. Int J Mach Tools Manuf 101:79–101CrossRef Flynn JM, Shokrani A, Newman ST, Dhokia V (2016) Hybrid additive and subtractive machine tools – research and industrial developments. Int J Mach Tools Manuf 101:79–101CrossRef
Zurück zum Zitat Gao HH, Zhu JH, Zhang WH, Zhou Y (2015) An improved adaptive constraint aggregation for integrated layout and topology optimization. Comput Methods Appl Mech Eng 289:387–408MathSciNetCrossRef Gao HH, Zhu JH, Zhang WH, Zhou Y (2015) An improved adaptive constraint aggregation for integrated layout and topology optimization. Comput Methods Appl Mech Eng 289:387–408MathSciNetCrossRef
Zurück zum Zitat Garden N, Schneider A (2015) Topological optimization of internal patterns and support in additive manufacturing. J Manuf Syst 37:417–425CrossRef Garden N, Schneider A (2015) Topological optimization of internal patterns and support in additive manufacturing. J Manuf Syst 37:417–425CrossRef
Zurück zum Zitat Gaynor AT, Meisel NA, Williams CB, Guest JK (2014) Multiple-material topology optimization of compliant mechanisms created via PolyJet three-dimensional printing. J Manuf Sci Eng 136:061015CrossRef Gaynor AT, Meisel NA, Williams CB, Guest JK (2014) Multiple-material topology optimization of compliant mechanisms created via PolyJet three-dimensional printing. J Manuf Sci Eng 136:061015CrossRef
Zurück zum Zitat Gersborg AR, Andreasen CS (2011) An explicit parameterization for casting constraints in gradient driven topology optimization. Struct Multidisc Optim 44:875–881CrossRef Gersborg AR, Andreasen CS (2011) An explicit parameterization for casting constraints in gradient driven topology optimization. Struct Multidisc Optim 44:875–881CrossRef
Zurück zum Zitat Gopalakrishnan SH, Suresh K (2008) Feature sensitivity: a generalization of topological sensitivity. Finite Elem Anal Des 44:696–704MathSciNetCrossRef Gopalakrishnan SH, Suresh K (2008) Feature sensitivity: a generalization of topological sensitivity. Finite Elem Anal Des 44:696–704MathSciNetCrossRef
Zurück zum Zitat Guest JK (2015) Optimizing the layout of discrete objects in structures and materials: a projection-based topology optimization approach. Comput Methods Appl Mech Eng 283:330–351CrossRef Guest JK (2015) Optimizing the layout of discrete objects in structures and materials: a projection-based topology optimization approach. Comput Methods Appl Mech Eng 283:330–351CrossRef
Zurück zum Zitat Guest JK, Zhu M (2012) Casting and milling restrictions in topology optimization via projection-based algorithms. Proc ASME 2012 Int Design Eng Tech Conf Comput Inform Eng Conf, Chicago, IL, USA Guest JK, Zhu M (2012) Casting and milling restrictions in topology optimization via projection-based algorithms. Proc ASME 2012 Int Design Eng Tech Conf Comput Inform Eng Conf, Chicago, IL, USA
Zurück zum Zitat Guest JK, Prevost JH, Belytschko T (2004) Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int J Numer Methods Eng 61:238–254MathSciNetCrossRefMATH Guest JK, Prevost JH, Belytschko T (2004) Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int J Numer Methods Eng 61:238–254MathSciNetCrossRefMATH
Zurück zum Zitat Guo X, Zhang WS, Zhong WL (2014a) Explicit feature control in structural topology optimization via level set method. Comput Methods Appl Mech Eng 272:354–378MathSciNetCrossRefMATH Guo X, Zhang WS, Zhong WL (2014a) Explicit feature control in structural topology optimization via level set method. Comput Methods Appl Mech Eng 272:354–378MathSciNetCrossRefMATH
Zurück zum Zitat Guo X, Zhang WS, Zhong WL (2014b) Doing topology optimization explicitly and geometrically – a new moving morphable components based framework. J Appl Mech 81:081009-1:12 Guo X, Zhang WS, Zhong WL (2014b) Doing topology optimization explicitly and geometrically – a new moving morphable components based framework. J Appl Mech 81:081009-1:12
Zurück zum Zitat Ha SH, Guest JK (2014) Optimizing inclusion shapes and patterns in periodic materials using discrete object projection. Struct Multidiscip Optim 50:65–80CrossRef Ha SH, Guest JK (2014) Optimizing inclusion shapes and patterns in periodic materials using discrete object projection. Struct Multidiscip Optim 50:65–80CrossRef
Zurück zum Zitat Hoque ASM, Halder PK, Parvez MS, Szecsi T (2013) Integrated manufacturing features and design-for-manufacture guidelines for reducing product cost under CAD/CAM environment. Comput Ind Eng 66:988–1003CrossRef Hoque ASM, Halder PK, Parvez MS, Szecsi T (2013) Integrated manufacturing features and design-for-manufacture guidelines for reducing product cost under CAD/CAM environment. Comput Ind Eng 66:988–1003CrossRef
Zurück zum Zitat Kang Z, Wang YQ (2013) Integrated topology optimization with embedded movable holes based on combined description by material density and level sets. Comput Methods Appl Mech Eng 255:1–13MathSciNetCrossRefMATH Kang Z, Wang YQ (2013) Integrated topology optimization with embedded movable holes based on combined description by material density and level sets. Comput Methods Appl Mech Eng 255:1–13MathSciNetCrossRefMATH
Zurück zum Zitat Kang M, Kim G, Eum K, Park MW, Kim JK (2014) A classification of multi-axis features based on manufacturing process. Int J Precis Eng Manuf 15:1255–1263CrossRef Kang M, Kim G, Eum K, Park MW, Kim JK (2014) A classification of multi-axis features based on manufacturing process. Int J Precis Eng Manuf 15:1255–1263CrossRef
Zurück zum Zitat Kang Z, Wang YG, Wang YQ (2016) Structural topology optimization with minimum distance control of multiphase embedded components by level set method. Comput Methods Appl Mech Eng 306:299–318MathSciNetCrossRef Kang Z, Wang YG, Wang YQ (2016) Structural topology optimization with minimum distance control of multiphase embedded components by level set method. Comput Methods Appl Mech Eng 306:299–318MathSciNetCrossRef
Zurück zum Zitat Khanoki SA, Pasini D (2012) Multiscale design and multiobjective optimization of orthopedic hip implants with functionally graded cellular material. J Biomech Eng 134:031004CrossRef Khanoki SA, Pasini D (2012) Multiscale design and multiobjective optimization of orthopedic hip implants with functionally graded cellular material. J Biomech Eng 134:031004CrossRef
Zurück zum Zitat Lauwers B, Klocke F, Klink A, Tekkaya AE, Neugebauer R, Mcintosh D (2014) Hybrid processes in manufacturing. CIRP Ann Manuf Technol 63:561–583CrossRef Lauwers B, Klocke F, Klink A, Tekkaya AE, Neugebauer R, Mcintosh D (2014) Hybrid processes in manufacturing. CIRP Ann Manuf Technol 63:561–583CrossRef
Zurück zum Zitat Lazarov BS, Wang FW, Sigmund O (2016) Length scale and manufacturability in density-based topology optimization. Arch Appl Mech 86:189–218CrossRef Lazarov BS, Wang FW, Sigmund O (2016) Length scale and manufacturability in density-based topology optimization. Arch Appl Mech 86:189–218CrossRef
Zurück zum Zitat Leary M, Merli L, Torti F, Mazur M, Brandt M (2014) Optimal topology for additive manufacture: a method for enabling additive manufacture of support-free optimal structures. Mater Des 63:678–690CrossRef Leary M, Merli L, Torti F, Mazur M, Brandt M (2014) Optimal topology for additive manufacture: a method for enabling additive manufacture of support-free optimal structures. Mater Des 63:678–690CrossRef
Zurück zum Zitat Liu JK (2016) Guidelines for AM part consolidation. Virtual Phys Prototyp 11:133–141CrossRef Liu JK (2016) Guidelines for AM part consolidation. Virtual Phys Prototyp 11:133–141CrossRef
Zurück zum Zitat Liu JK, Ma YS (2015) 3D level-set topology optimization: a machining feature-based approach. Struct Multidisc Optim 52:563–582MathSciNetCrossRef Liu JK, Ma YS (2015) 3D level-set topology optimization: a machining feature-based approach. Struct Multidisc Optim 52:563–582MathSciNetCrossRef
Zurück zum Zitat Liu JK, Ma YS, Fu JY, Duke K (2015a) A novel CACD/CAD/CAE integrated design framework for fiber-reinforced plastic parts. Adv Eng Softw 87:13–29CrossRef Liu JK, Ma YS, Fu JY, Duke K (2015a) A novel CACD/CAD/CAE integrated design framework for fiber-reinforced plastic parts. Adv Eng Softw 87:13–29CrossRef
Zurück zum Zitat Liu ST, Li Q, Chen WJ, Hu R, Tong LY (2015b) H-DGTP – a Heaviside-function based directional growth topology parameterization for design optimization of stiffener layout and height of thin-walled structures. Struct Multidisc Optim 52:903–913MathSciNetCrossRef Liu ST, Li Q, Chen WJ, Hu R, Tong LY (2015b) H-DGTP – a Heaviside-function based directional growth topology parameterization for design optimization of stiffener layout and height of thin-walled structures. Struct Multidisc Optim 52:903–913MathSciNetCrossRef
Zurück zum Zitat Lu JN, Chen YH (2012) Manufacturable mechanical part design with constrained topology optimization. J Eng Manuf 226:1727–1735CrossRef Lu JN, Chen YH (2012) Manufacturable mechanical part design with constrained topology optimization. J Eng Manuf 226:1727–1735CrossRef
Zurück zum Zitat Luo JZ, Luo Z, Chen SK, Tong LY, Wang MY (2008) A new level set method for systematic design of hinge-free compliant mechanisms. Comput Methods Appl Mech Eng 198:318–331CrossRefMATH Luo JZ, Luo Z, Chen SK, Tong LY, Wang MY (2008) A new level set method for systematic design of hinge-free compliant mechanisms. Comput Methods Appl Mech Eng 198:318–331CrossRefMATH
Zurück zum Zitat Masmiati N, Sarhan AAD, Hamdi M (2012) Optimizing the cutting parameters for better surface quality in 2.5D cutting utilizing titanium coated carbide ball end mill. Int J Precis Eng Manuf 13:2097–2102CrossRef Masmiati N, Sarhan AAD, Hamdi M (2012) Optimizing the cutting parameters for better surface quality in 2.5D cutting utilizing titanium coated carbide ball end mill. Int J Precis Eng Manuf 13:2097–2102CrossRef
Zurück zum Zitat Mei YL, Wang XM, Cheng GD (2008) A feature-based topological optimization for structure design. Adv Eng Softw 39:71–87CrossRef Mei YL, Wang XM, Cheng GD (2008) A feature-based topological optimization for structure design. Adv Eng Softw 39:71–87CrossRef
Zurück zum Zitat Meisel N, Williams C (2015) An investigation of key design for additive manufacturing constraints in multimaterial three-dimensional printing. J Mech Des 137:111406CrossRef Meisel N, Williams C (2015) An investigation of key design for additive manufacturing constraints in multimaterial three-dimensional printing. J Mech Des 137:111406CrossRef
Zurück zum Zitat Norato JA, Bell BK, Tortorelli DA (2015) A geometry projection method for continuum-based topology optimization with discrete elements. Comput Methods Appl Mech Eng 293:306–327MathSciNetCrossRef Norato JA, Bell BK, Tortorelli DA (2015) A geometry projection method for continuum-based topology optimization with discrete elements. Comput Methods Appl Mech Eng 293:306–327MathSciNetCrossRef
Zurück zum Zitat Poulsen TA (2003) A new scheme for imposing a minimum length scale in topology optimization. Int J Numer Methods Eng 57:741–760MathSciNetCrossRefMATH Poulsen TA (2003) A new scheme for imposing a minimum length scale in topology optimization. Int J Numer Methods Eng 57:741–760MathSciNetCrossRefMATH
Zurück zum Zitat Rozvany GIN (2001) Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics. Struct Multidisc Optim 21:90–108CrossRef Rozvany GIN (2001) Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics. Struct Multidisc Optim 21:90–108CrossRef
Zurück zum Zitat Rozvany GIN (2009) A critical review of established methods of structural topology optimization. Struct Multidisc Optim 37:217–237MathSciNetCrossRefMATH Rozvany GIN (2009) A critical review of established methods of structural topology optimization. Struct Multidisc Optim 37:217–237MathSciNetCrossRefMATH
Zurück zum Zitat Schevenels M, Lazarov BS, Sigmund O (2011) Robust topology optimization accounting for spatially varying manufacturing errors. Comput Methods Appl Mech Eng 200:3613–3627CrossRefMATH Schevenels M, Lazarov BS, Sigmund O (2011) Robust topology optimization accounting for spatially varying manufacturing errors. Comput Methods Appl Mech Eng 200:3613–3627CrossRefMATH
Zurück zum Zitat Schramm U, Zhou M (2006) Recent developments in the commercial implementation of topology optimization. In: IUTAM symposium on topological design optimization of structures, machines and materials, Springer 137:239–248 Schramm U, Zhou M (2006) Recent developments in the commercial implementation of topology optimization. In: IUTAM symposium on topological design optimization of structures, machines and materials, Springer 137:239–248
Zurück zum Zitat Sigmund O (2007) Morphology-based black and white filters for topology optimization. Struct Multidisc Optim 33:401–424CrossRef Sigmund O (2007) Morphology-based black and white filters for topology optimization. Struct Multidisc Optim 33:401–424CrossRef
Zurück zum Zitat Sigmund O (2009) Manufacturing tolerant topology optimization. Acta Mech Sin 25:277–239CrossRefMATH Sigmund O (2009) Manufacturing tolerant topology optimization. Acta Mech Sin 25:277–239CrossRefMATH
Zurück zum Zitat Stromberg N (2010) Topology optimization of structures with manufacturing and unilateral contact constraints by minimizing an adjustable compliance-volume product. Struct Multidisc Optim 42:341–350MathSciNetCrossRefMATH Stromberg N (2010) Topology optimization of structures with manufacturing and unilateral contact constraints by minimizing an adjustable compliance-volume product. Struct Multidisc Optim 42:341–350MathSciNetCrossRefMATH
Zurück zum Zitat Tang YL, Kurtz A, Zhao YF (2015) Bidirectional evolutionary structural optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing. Comput Aided Des 69:91–101CrossRef Tang YL, Kurtz A, Zhao YF (2015) Bidirectional evolutionary structural optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing. Comput Aided Des 69:91–101CrossRef
Zurück zum Zitat Ulu E, Korkmaz E, Yay K, Ozdoganlar OB, Kara LB (2015) Enhancing the structural performance of additively manufactured objects through build orientation optimization. J Mech Des 137:111410CrossRef Ulu E, Korkmaz E, Yay K, Ozdoganlar OB, Kara LB (2015) Enhancing the structural performance of additively manufactured objects through build orientation optimization. J Mech Des 137:111410CrossRef
Zurück zum Zitat van Dijk NP, Maute K, Langelaar M, van Keulen F (2013) Level-set methods for structural topology optimization: a review. Struct Multidisc Optim 48:437–472MathSciNetCrossRef van Dijk NP, Maute K, Langelaar M, van Keulen F (2013) Level-set methods for structural topology optimization: a review. Struct Multidisc Optim 48:437–472MathSciNetCrossRef
Zurück zum Zitat Verma AK, Rajotia S (2008) A hint-based machining feature recognition system for 2.5D parts. Int J Prod Res 46:1515–1537CrossRefMATH Verma AK, Rajotia S (2008) A hint-based machining feature recognition system for 2.5D parts. Int J Prod Res 46:1515–1537CrossRefMATH
Zurück zum Zitat Wang MY, Wang XM, Guo DM (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192:227–246MathSciNetCrossRefMATH Wang MY, Wang XM, Guo DM (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192:227–246MathSciNetCrossRefMATH
Zurück zum Zitat Wang FW, Lazarov BS, Sigmund O (2011) On projection methods, convergence and robust formulations in topology optimization. Struct Multidisc Optim 43:767–784CrossRefMATH Wang FW, Lazarov BS, Sigmund O (2011) On projection methods, convergence and robust formulations in topology optimization. Struct Multidisc Optim 43:767–784CrossRefMATH
Zurück zum Zitat Wang YQ, Zhang L, Wang MY (2016) Length scale control for structural optimization by level sets. Comput Methods Appl Mech Eng 305:891–909MathSciNetCrossRef Wang YQ, Zhang L, Wang MY (2016) Length scale control for structural optimization by level sets. Comput Methods Appl Mech Eng 305:891–909MathSciNetCrossRef
Zurück zum Zitat Xia Q, Shi TL (2015) Constraints of distance from boundary to skeleton: for the control of length scale in level set based structural topology optimization. Comput Methods Appl Mech Eng 295:525–542MathSciNetCrossRef Xia Q, Shi TL (2015) Constraints of distance from boundary to skeleton: for the control of length scale in level set based structural topology optimization. Comput Methods Appl Mech Eng 295:525–542MathSciNetCrossRef
Zurück zum Zitat Xia Q, Shi TL, Wang MY, Liu SY (2010) A level set based method for the optimization of cast part. Struct Multidisc Optim 41:735–747CrossRef Xia Q, Shi TL, Wang MY, Liu SY (2010) A level set based method for the optimization of cast part. Struct Multidisc Optim 41:735–747CrossRef
Zurück zum Zitat Xia L, Zhu JH, Zhang WH, Breitkopf P (2013) An implicit model for the integrated optimization of component layout and structure topology. Comput Methods Appl Mech Eng 257:87–102MathSciNetCrossRefMATH Xia L, Zhu JH, Zhang WH, Breitkopf P (2013) An implicit model for the integrated optimization of component layout and structure topology. Comput Methods Appl Mech Eng 257:87–102MathSciNetCrossRefMATH
Zurück zum Zitat Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49:885–896CrossRef Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49:885–896CrossRef
Zurück zum Zitat Xu JT, Sun YW, Zhang XK (2013) A mapping-based spiral cutting strategy for pocket machining. Int J Adv Manuf Technol 67:2489–2500CrossRef Xu JT, Sun YW, Zhang XK (2013) A mapping-based spiral cutting strategy for pocket machining. Int J Adv Manuf Technol 67:2489–2500CrossRef
Zurück zum Zitat Zegard, T., & Paulino, G.H. (2016). Bridging topology optimization and additive manufacturing. Structural and Multidisciplinary Optimization, 53(1), 175-192. Zegard, T., & Paulino, G.H. (2016). Bridging topology optimization and additive manufacturing. Structural and Multidisciplinary Optimization, 53(1), 175-192.
Zurück zum Zitat Zhang WH, Xia L, Zhu JH, Zhang Q (2011) Some recent advances in the integrated layout design of multicomponent systems. J Mech Des 133:104503-1-15 Zhang WH, Xia L, Zhu JH, Zhang Q (2011) Some recent advances in the integrated layout design of multicomponent systems. J Mech Des 133:104503-1-15
Zurück zum Zitat Zhang J, Zhang WH, Zhu JH, Xia L (2012) Integrated layout design of multi-component systems using XFEM and analytical sensitivity analysis. Comput Methods Appl Mech Eng 245–246:75–89MathSciNetCrossRefMATH Zhang J, Zhang WH, Zhu JH, Xia L (2012) Integrated layout design of multi-component systems using XFEM and analytical sensitivity analysis. Comput Methods Appl Mech Eng 245–246:75–89MathSciNetCrossRefMATH
Zurück zum Zitat Zhang WS, Zhong WL, Guo X (2014) An explicit length scale control in SIMP-based topology optimization. Comput Methods Appl Mech Eng 282:71–86MathSciNetCrossRef Zhang WS, Zhong WL, Guo X (2014) An explicit length scale control in SIMP-based topology optimization. Comput Methods Appl Mech Eng 282:71–86MathSciNetCrossRef
Zurück zum Zitat Zhang WS, Zhong WL, Guo X (2015a) Explicit layout control in optimal design of structural systems with multiple embedding components. Comput Methods Appl Mech Eng 290:290–313MathSciNetCrossRef Zhang WS, Zhong WL, Guo X (2015a) Explicit layout control in optimal design of structural systems with multiple embedding components. Comput Methods Appl Mech Eng 290:290–313MathSciNetCrossRef
Zurück zum Zitat Zhang P, Toman J, Yu YQ, Biyikli E, Kirca M, Chmielus M, To AC (2015b) Efficient design-optimization of variable-density hexagonal cellular structure by additive manufacturing: theory and validation. J Manuf Sci Eng 137:021004CrossRef Zhang P, Toman J, Yu YQ, Biyikli E, Kirca M, Chmielus M, To AC (2015b) Efficient design-optimization of variable-density hexagonal cellular structure by additive manufacturing: theory and validation. J Manuf Sci Eng 137:021004CrossRef
Zurück zum Zitat Zhang WS, Yuan J, Zhang J, Guo X (2016) A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model. Struct Multidisc Optim 53:1243–1260MathSciNetCrossRef Zhang WS, Yuan J, Zhang J, Guo X (2016) A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model. Struct Multidisc Optim 53:1243–1260MathSciNetCrossRef
Zurück zum Zitat Zhou MD, Wang MY (2013) Engineering feature design for level set based structural optimization. Comput Aided Des 45:1524–1537MathSciNetCrossRef Zhou MD, Wang MY (2013) Engineering feature design for level set based structural optimization. Comput Aided Des 45:1524–1537MathSciNetCrossRef
Zurück zum Zitat Zhou M, Fleury R, Shyy YK, Thomas HL (2002) Progress in topology optimization with manufacturing constratins. Proce 9th AIAA/ISSMO Symp Multidisciplinary Anal Optimization, Atlanta, GA, USA Zhou M, Fleury R, Shyy YK, Thomas HL (2002) Progress in topology optimization with manufacturing constratins. Proce 9th AIAA/ISSMO Symp Multidisciplinary Anal Optimization, Atlanta, GA, USA
Zurück zum Zitat Zhou MD, Lazarov BS, Wang FW, Sigmund O (2015) Minimum length scale in topology optimization by geometric constraints. Comput Methods Appl Mech Eng 293:266–282MathSciNetCrossRef Zhou MD, Lazarov BS, Wang FW, Sigmund O (2015) Minimum length scale in topology optimization by geometric constraints. Comput Methods Appl Mech Eng 293:266–282MathSciNetCrossRef
Zurück zum Zitat Zhu Z, Dhokia V, Nassehi A, Newman ST (2013) A review of hybrid manufacturing processes – state of the art and future perspectives. Int J Comput Integr Manuf 26:596–615CrossRef Zhu Z, Dhokia V, Nassehi A, Newman ST (2013) A review of hybrid manufacturing processes – state of the art and future perspectives. Int J Comput Integr Manuf 26:596–615CrossRef
Zurück zum Zitat Zhu JH, Gao HH, Zhang WH, Zhou Y (2015) A multi-point constraints based integrated layout and topology optimization design for multi-component systems. Struct Multidisc Optim 51:397–407CrossRef Zhu JH, Gao HH, Zhang WH, Zhou Y (2015) A multi-point constraints based integrated layout and topology optimization design for multi-component systems. Struct Multidisc Optim 51:397–407CrossRef
Metadaten
Titel
Topology optimization for hybrid additive-subtractive manufacturing
verfasst von
Jikai Liu
Albert C. To
Publikationsdatum
29.08.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 4/2017
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-016-1565-4

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