Topology optimization of binary structures under design-dependent fluid-structure interaction loads
A current challenge for the structural topology optimization methods is the development of trustful techniques to account for different physics interactions. This paper devises a technique that considers separate physics analysis and optimization within the context of fluid-structure interaction (FS...
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| Published in | Structural and multidisciplinary optimization Vol. 62; no. 4; pp. 2101 - 2116 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.10.2020
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| Abstract | A current challenge for the structural topology optimization methods is the development of trustful techniques to account for different physics interactions. This paper devises a technique that considers separate physics analysis and optimization within the context of fluid-structure interaction (FSI) systems. Steady-state laminar flow and small structural displacements are assumed. We solve the compliance minimization problem subject to single or multiple volume constraints considering design-dependent FSI loads. For that, the TOBS (topology optimization of binary structures) method is applied. The TOBS approach uses binary {0,1} design variables, which can be advantageous when dealing with design-dependent physics interactions, e.g., in cases where fluid-structure boundaries are allowed to change during optimization. The COMSOL Multiphysics software is used to solve the fluid-structure equations and output the sensitivities using automatic differentiation. The TOBS optimizer provides a new set of {0,1} variables at every iteration. Numerical examples show smoothly converged solutions. |
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| AbstractList | A current challenge for the structural topology optimization methods is the development of trustful techniques to account for different physics interactions. This paper devises a technique that considers separate physics analysis and optimization within the context of fluid-structure interaction (FSI) systems. Steady-state laminar flow and small structural displacements are assumed. We solve the compliance minimization problem subject to single or multiple volume constraints considering design-dependent FSI loads. For that, the TOBS (topology optimization of binary structures) method is applied. The TOBS approach uses binary {0,1} design variables, which can be advantageous when dealing with design-dependent physics interactions, e.g., in cases where fluid-structure boundaries are allowed to change during optimization. The COMSOL Multiphysics software is used to solve the fluid-structure equations and output the sensitivities using automatic differentiation. The TOBS optimizer provides a new set of {0,1} variables at every iteration. Numerical examples show smoothly converged solutions. |
| Author | Sivapuram, R. Silva, E. C. N. Picelli, R. Ranjbarzadeh, S. Gioria, R. S. |
| Author_xml | – sequence: 1 givenname: R. surname: Picelli fullname: Picelli, R. email: rpicelli@usp.br organization: Department of Mining and Petroleum Engineering, University of São Paulo – sequence: 2 givenname: S. surname: Ranjbarzadeh fullname: Ranjbarzadeh, S. organization: Department of Mechatronics and Mechanical Systems Engineering, University of São Paulo – sequence: 3 givenname: R. surname: Sivapuram fullname: Sivapuram, R. organization: Structural Engineering Department, University of California – sequence: 4 givenname: R. S. surname: Gioria fullname: Gioria, R. S. organization: Department of Mining and Petroleum Engineering, University of São Paulo – sequence: 5 givenname: E. C. N. surname: Silva fullname: Silva, E. C. N. organization: Department of Mechatronics and Mechanical Systems Engineering, University of São Paulo |
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| Keywords | Laminar flow Small displacements Topology optimization Binary variables Fluid-structure interaction Design-dependent loads COMSOL multiphysics |
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| References | PicelliRNeofytouAKimHATopology optimization for design-dependent hydrostatic pressure loading via the level-set methodStruct Multidiscip Optim20196013131326402655510.1007/s00158-019-02339-y SivapuramRPicelliRTopology design of binary structures subjected to design-dependent thermal expansion and fluid pressure loadsStruct Multidiscip Optim20206118771895411760310.1007/s00158-019-02443-z YoonGHTopology optimization for stationary fluid-structure interaction problems using a new monolithic formulationInt J Numer Methods Eng20108259161610.1002/nme.2777 BrezziFFortinMMixed and hybrid finite element methods1991BerlinSpringer10.1007/978-1-4612-3172-1 Sivapuram R, Picelli R, Xie YM (2018b) Topology optimization of binary microstructures involving various non-volume constraints. Computat Mater Sci 154:405–425. https://doi.org/10.1016/j.commatsci.2018.08.008 BillahKYScanlanRHResonance, Tacoma Narrows bridge failure, and undergraduate physics textbooksAm J Phys199159211812410.1119/1.16590 Bungartz HJ, Schȧfer M (2006) Fluid-structure interaction: modelling, simulation, optimization, Berlin XiaLXiaQHuangXXieYMBi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive reviewArchives of Computational Methods in Engineering2018252437478377647710.1007/s11831-016-9203-2 Gersborg-HansenASigmundOHarberRBTopology optimization of channel flow problemsStruct Multidiscip Optim200530181192216571910.1007/s00158-004-0508-7 LiangYChengGFurther elaborations on topology optimization via sequential integer programming and Canonical relaxation algorithm and 128-line MATLAB codeStruct Multidiscip Optim202061141143110.1007/s00158-019-02396-3 FepponFAllaireGBordeuFCortialJDapognyCShape optimization of a coupled thermal fluid-structure problem in a level set mesh evolution frameworkSeMA J2019763413458399099810.1007/s40324-018-00185-4 Païdoussis MP (1998) Fluid-structure interactions: slender structures and axial flow, vol 1. Academic Press HouGWangJLaytonANumerical methods for fluid-structure interaction – a reviewCommun Comput Phys201212337377289714310.4208/cicp.291210.290411s PicelliRVicenteWMPavanelloREvolutionary topology optimization for structural compliance minimization considering design-dependent fsi loadsFinite Elem Anal Des2017135445510.1016/j.finel.2017.07.005 YoonGHStress-based topology optimization method for steady-state fluid-structure interaction problemsComput Methods Appl Mech Eng2014278499523323186910.1016/j.cma.2014.05.021 ChenBCKikuchiNTopology optimization with design-dependent loadsFinite Elem Anal Des200137577010.1016/S0168-874X(00)00021-4 TownsendSPicelliRStanfordBKimHAStructural optimization of platelike aircraft wings under flutter and divergence constraintsAIIA J20185683307331910.2514/1.J056748 Haftka RT, G urdal Z (1991) Elements of Structural Optimization, 3rd edn. Kluwer Academic Publishers KumarPFrouwsJSLangelaarMTopology optimization of fluidic pressure loaded structures and compliant mechanisms using the Darcy methodStruct Multidiscip Optim20206116371655408109010.1007/s00158-019-02442-0 SivapuramRPicelliRTopology optimization of binary structures using integer linear programmingFinite Elem Anal Des20181394961372617010.1016/j.finel.2017.10.006 MauteKAllenMConceptual design of aeroelastic structures by topology optimizationStruct Multidiscip Optim2004271–2274210.1007/s00158-003-0362-z DuhringMBJensenJSSigmundOAcoustic design by topology optimizationJ Sound Vib200831755757510.1016/j.jsv.2008.03.042 JenkinsNMauteKAn immersed boundary approach for shape and topology optimization of stationary fluid-structure interaction problemsStruct Multidiscip Optim20165411911208357116810.1007/s00158-016-1467-5 PintoHFda CruzAGBRanjbarzadehSDudaFPPredicting simulation of flow induced by ipmc oscillation in fluid environmentJ Braz Soc Mech Sci Eng201840420310.1007/s40430-018-1097-5 Bazilevs Y, Takizawa K, Tezduyar TE (2013) Computational fluid-structure interaction: methods and applications. Wiley, New York LundgaardCAlexandersenJZhouMAndreasenCSigmundORevisiting density-based topology optimization for fluid-structure-interaction problemsStruct Multidiscip Optim2018583969995384386210.1007/s00158-018-1940-4 Nocedal J, Wright SJ (2006) Numerical Optimization, 2nd edn. Springer-Verlag, Berlin, New York DeatonJDGrandhiRVA survey of structural and multidisciplinary continuum topology optimization: post 2000Struct Multidiscip Optim201449138318245010.1007/s00158-013-0956-z ZienkiewiczOCTaylorRLThe finite element method, vol 1-320056OxfordElsevier Butterworth Heinemann Gresho PM, Sani RL (2000) Incompressible flow and the finite element method. Wiley, New York PicelliRVicenteWMPavanelloRBi-directional evolutionary structural optimization for design-dependent fluid pressure loading problemsEng Optim2015471013241342337619210.1080/0305215X.2014.963069 Bosma T (2013) Levelset based fluid-structure interaction modeling with the extended finite element method. Master of sciences thesis, Faculty of Mechanical, Maritime and Materials Engineering (3mE), Delft University of Technology BendsøeMPSigmundOTopology optimization - theory methods and applications2003BerlinSpringer1059.74001 2598_CR21 S Townsend (2598_CR29) 2018; 56 N Jenkins (2598_CR15) 2016; 54 C Lundgaard (2598_CR18) 2018; 58 R Picelli (2598_CR22) 2015; 47 R Picelli (2598_CR24) 2019; 60 F Brezzi (2598_CR5) 1991 R Sivapuram (2598_CR28) 2020; 61 P Kumar (2598_CR16) 2020; 61 OC Zienkiewicz (2598_CR33) 2005 A Gersborg-Hansen (2598_CR11) 2005; 30 Y Liang (2598_CR17) 2020; 61 BC Chen (2598_CR7) 2001; 37 2598_CR27 L Xia (2598_CR30) 2018; 25 GH Yoon (2598_CR32) 2014; 278 2598_CR6 F Feppon (2598_CR10) 2019; 76 2598_CR4 2598_CR12 2598_CR13 R Picelli (2598_CR23) 2017; 135 MB Duhring (2598_CR9) 2008; 317 HF Pinto (2598_CR25) 2018; 40 GH Yoon (2598_CR31) 2010; 82 2598_CR1 R Sivapuram (2598_CR26) 2018; 139 JD Deaton (2598_CR8) 2014; 49 KY Billah (2598_CR3) 1991; 59 MP Bendsøe (2598_CR2) 2003 2598_CR19 G Hou (2598_CR14) 2012; 12 K Maute (2598_CR20) 2004; 27 |
| References_xml | – reference: PintoHFda CruzAGBRanjbarzadehSDudaFPPredicting simulation of flow induced by ipmc oscillation in fluid environmentJ Braz Soc Mech Sci Eng201840420310.1007/s40430-018-1097-5 – reference: SivapuramRPicelliRTopology optimization of binary structures using integer linear programmingFinite Elem Anal Des20181394961372617010.1016/j.finel.2017.10.006 – reference: Bosma T (2013) Levelset based fluid-structure interaction modeling with the extended finite element method. Master of sciences thesis, Faculty of Mechanical, Maritime and Materials Engineering (3mE), Delft University of Technology – reference: FepponFAllaireGBordeuFCortialJDapognyCShape optimization of a coupled thermal fluid-structure problem in a level set mesh evolution frameworkSeMA J2019763413458399099810.1007/s40324-018-00185-4 – reference: PicelliRNeofytouAKimHATopology optimization for design-dependent hydrostatic pressure loading via the level-set methodStruct Multidiscip Optim20196013131326402655510.1007/s00158-019-02339-y – reference: BendsøeMPSigmundOTopology optimization - theory methods and applications2003BerlinSpringer1059.74001 – reference: Bungartz HJ, Schȧfer M (2006) Fluid-structure interaction: modelling, simulation, optimization, Berlin – reference: KumarPFrouwsJSLangelaarMTopology optimization of fluidic pressure loaded structures and compliant mechanisms using the Darcy methodStruct Multidiscip Optim20206116371655408109010.1007/s00158-019-02442-0 – reference: PicelliRVicenteWMPavanelloREvolutionary topology optimization for structural compliance minimization considering design-dependent fsi loadsFinite Elem Anal Des2017135445510.1016/j.finel.2017.07.005 – reference: Païdoussis MP (1998) Fluid-structure interactions: slender structures and axial flow, vol 1. Academic Press – reference: SivapuramRPicelliRTopology design of binary structures subjected to design-dependent thermal expansion and fluid pressure loadsStruct Multidiscip Optim20206118771895411760310.1007/s00158-019-02443-z – reference: ChenBCKikuchiNTopology optimization with design-dependent loadsFinite Elem Anal Des200137577010.1016/S0168-874X(00)00021-4 – reference: Bazilevs Y, Takizawa K, Tezduyar TE (2013) Computational fluid-structure interaction: methods and applications. Wiley, New York – reference: YoonGHTopology optimization for stationary fluid-structure interaction problems using a new monolithic formulationInt J Numer Methods Eng20108259161610.1002/nme.2777 – reference: LundgaardCAlexandersenJZhouMAndreasenCSigmundORevisiting density-based topology optimization for fluid-structure-interaction problemsStruct Multidiscip Optim2018583969995384386210.1007/s00158-018-1940-4 – reference: TownsendSPicelliRStanfordBKimHAStructural optimization of platelike aircraft wings under flutter and divergence constraintsAIIA J20185683307331910.2514/1.J056748 – reference: XiaLXiaQHuangXXieYMBi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive reviewArchives of Computational Methods in Engineering2018252437478377647710.1007/s11831-016-9203-2 – reference: YoonGHStress-based topology optimization method for steady-state fluid-structure interaction problemsComput Methods Appl Mech Eng2014278499523323186910.1016/j.cma.2014.05.021 – reference: JenkinsNMauteKAn immersed boundary approach for shape and topology optimization of stationary fluid-structure interaction problemsStruct Multidiscip Optim20165411911208357116810.1007/s00158-016-1467-5 – reference: DeatonJDGrandhiRVA survey of structural and multidisciplinary continuum topology optimization: post 2000Struct Multidiscip Optim201449138318245010.1007/s00158-013-0956-z – reference: MauteKAllenMConceptual design of aeroelastic structures by topology optimizationStruct Multidiscip Optim2004271–2274210.1007/s00158-003-0362-z – reference: PicelliRVicenteWMPavanelloRBi-directional evolutionary structural optimization for design-dependent fluid pressure loading problemsEng Optim2015471013241342337619210.1080/0305215X.2014.963069 – reference: BillahKYScanlanRHResonance, Tacoma Narrows bridge failure, and undergraduate physics textbooksAm J Phys199159211812410.1119/1.16590 – reference: Gresho PM, Sani RL (2000) Incompressible flow and the finite element method. 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| Title | Topology optimization of binary structures under design-dependent fluid-structure interaction loads |
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