Reduced-order model of optimal temperature control for the automated fibre placement process
Industrialising manufacturing processes for aeronautic composite parts is a challenging issue. Among the existing techniques, the Automated Fibre Placement (AFP) is a promising one, since it allows the making of large and complex pieces with good productivity and repeatability. However, in order to...
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| Published in | Comptes rendus. Mecanique Vol. 346; no. 7; pp. 556 - 570 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Masson SAS
01.07.2018
Académie des sciences (Paris) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1631-0721 1873-7234 1873-7234 |
| DOI | 10.1016/j.crme.2018.04.007 |
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| Abstract | Industrialising manufacturing processes for aeronautic composite parts is a challenging issue. Among the existing techniques, the Automated Fibre Placement (AFP) is a promising one, since it allows the making of large and complex pieces with good productivity and repeatability. However, in order to ensure the regulatory requirements, the process must be controlled efficiently. In this paper, we propose the off-line computation of a parametric solution to a minimisation problem subject to heat equation. To solve this saddle-point problem with the so-called PGD method, we considered using Uzawa's technique or the Ideal Minimal Residual-based formulation, the aim being real-time control of the heat source within the AFP process. |
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| AbstractList | Industrialising manufacturing processes for aeronautic composite parts is a challenging issue. Among the existing techniques, the Automated Fibre Placement (AFP) is a promising one, since it allows the making of large and complex pieces with good productivity and repeatability. However, in order to ensure the regulatory requirements, the process must be controlled efficiently. In this paper, we propose the off-line computation of a parametric solution to a minimisation problem subject to heat equation. To solve this saddle-point problem with the so-called PGD method, we considered using Uzawa's technique or the Ideal Minimal Residual-based formulation, the aim being real-time control of the heat source within the AFP process. |
| Author | Joyot, Pierre Bur, Nicolas Villon, Pierre |
| Author_xml | – sequence: 1 givenname: Nicolas surname: Bur fullname: Bur, Nicolas email: n.bur@estia.fr organization: ESTIA-Recherche, Technopôle Izarbel, 64210 Bidart, France – sequence: 2 givenname: Pierre surname: Joyot fullname: Joyot, Pierre email: p.joyot@estia.fr organization: ESTIA, CNRS, I2M Bordeaux, Technopôle Izarbel, 64210 Bidart, France – sequence: 3 givenname: Pierre surname: Villon fullname: Villon, Pierre email: pierre.villon@utc.fr organization: Université de technologie de Compiègne, Département “Génie des systèmes mécaniques”, Centre de recherches de Royallieu, CS 60319, 60203 Compiègne cedex, France |
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| CitedBy_id | crossref_primary_10_1016_j_compositesa_2022_107179 crossref_primary_10_1080_20550340_2020_1859253 |
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| Keywords | Composites Simulation based control Optimal control Proper Generalized Decomposition Automated Fibre Placement Numerical simulation Model order reduction |
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| References | Lynch, Rice, Thomas (br0170) 1964; 6 Halmos (br0190) 1974 Billaud-Friess, Nouy, Zahm (br0260) 2014; 48 Chinesta, Ammar, Leygue, Keunings (br0220) 2011; 166 Ammar, Mokdad, Chinesta, Keunings (br0080) 2007; 144 Marcus (br0180) 1960 Chinesta, Leygue, Bognet, Ghnatios, Poulhaon, Bordeu, Barasinski, Poitou, Chatel, Maison-Le-Poec (br0060) 2014; 7 Lukaszewicz, Ward, Potter (br0010) 2012; 43 Lynch, Rice, Thomas (br0160) 1964; 70 Schledjewski, Latrille (br0040) 2003; 63 Chinesta, Ladevèze, Cueto (br0230) 2011; 18 Pitchumani, Ranganathan, Don, Gillespie, Lamontia (br0030) 1996; 39 Dedieu, Barasinski, Chinesta, Dupillier (br0140) 2017; 10 Boucinha, Ammar, Gravouil, Nouy (br0270) 2014; 273 Ammar, Mokdad, Chinesta, Keunings (br0070) 2006; 139 Lions (br0250) 1971 Lamontia, Gruber, Tierney, Gillespie, Jensen, Cano (br0050) 2009 Chinesta, Ammar, Cueto (br0210) 2010; 17 Simon (br0290) 2008 Chinesta, Leygue, Bordeu, Aguado, Cueto, González, Alfaro, Ammar, Huerta (br0130) 2013; 20 Uzawa (br0280) 1958 Ghnatios, Chinesta, Cueto, Leygue, Poitou, Breitkopf, Villon (br0110) 2011; 42 Prulière, Chinesta, Ammar (br0090) 2010; 81 Ghnatios, Masson, Huerta, Leygue, Cueto, Chinesta (br0120) 2012; 213–216 Chinesta, Keunings, Leygue (br0240) 2014 Bognet, Bordeu, Chinesta, Leygue, Poitou (br0100) 2012; 201–204 Bur, Joyot, Ghnatios, Villon, Cueto, Chinesta (br0150) 2016; 3 Sonmez, Hahn, Akbulut (br0020) 2002; 15 Bur (br0200) 2015 Halmos, P.R. (key2024021916521990714_19) 1974 Schledjewski, R. (key2024021916521990714_4) 2003; 63 Lynch, R.E. (key2024021916521990714_17) 1964; 6 Bognet, B. (key2024021916521990714_10) 2012; 201–204 Lions, J.-L. (key2024021916521990714_25) 1971 Ghnatios, C. (key2024021916521990714_11) 2011; 42 Lukaszewicz, D.H.-J.A. (key2024021916521990714_1) 2012; 43 Lamontia, M.A. (key2024021916521990714_5) 2009 Chinesta, F. (key2024021916521990714_22) 2011; 166 Bur, N. (key2024021916521990714_20) 2015 Boucinha, L. (key2024021916521990714_27) 2014; 273 Pitchumani, R. (key2024021916521990714_3) 1996; 39 Marcus, M. (key2024021916521990714_18) 1960 Billaud-Friess, M. (key2024021916521990714_26) 2014; 48 Chinesta, F. (key2024021916521990714_13) 2013; 20 Lynch, R.E. (key2024021916521990714_16) 1964; 70 Sonmez, F.O. (key2024021916521990714_2) 2002; 15 Ghnatios, C. (key2024021916521990714_12) 2012; 213–216 Chinesta, F. (key2024021916521990714_21) 2010; 17 Chinesta, F. (key2024021916521990714_6) 2014; 7 Prulière, É. (key2024021916521990714_9) 2010; 81 Bur, N. (key2024021916521990714_15) 2016; 3 Uzawa, H. (key2024021916521990714_28) 1958 Chinesta, F. (key2024021916521990714_23) 2011; 18 Ammar, A. (key2024021916521990714_7) 2006; 139 Simon, R. (key2024021916521990714_29) 2008 Chinesta, F. (key2024021916521990714_24) 2014 Dedieu, C. (key2024021916521990714_14) 2017; 10 Ammar, A. (key2024021916521990714_8) 2007; 144 |
| References_xml | – year: 1960 ident: br0180 article-title: Basic Theorems in Matrix Theory – volume: 6 start-page: 185 year: 1964 end-page: 199 ident: br0170 article-title: Direct solution of partial difference equations by tensor product methods publication-title: Numer. Math. – volume: 39 start-page: 1883 year: 1996 end-page: 1897 ident: br0030 article-title: Analysis of transport phenomena governing interfacial bonding and void dynamics during thermoplastic tow-placement publication-title: Int. J. Heat Mass Transf. – volume: 10 start-page: 779 year: 2017 end-page: 792 ident: br0140 article-title: About the origins of residual stresses in in situ consolidated thermoplastic composite rings publication-title: Int. J. Mater. Form. – year: 2008 ident: br0290 article-title: Multigrid Solvers for Saddle Point Problems in PDE-Constrained Optimization Dissertation – volume: 139 start-page: 153 year: 2006 end-page: 176 ident: br0070 article-title: A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids publication-title: J. Non-Newton. Fluid Mech. – volume: 15 start-page: 525 year: 2002 end-page: 544 ident: br0020 article-title: Analysis of process-induced residual stresses in tape placement publication-title: J. Thermoplast. Compos. Mater. – year: 1974 ident: br0190 article-title: Finite-Dimensional Vector Spaces publication-title: Undergrad. Texts Math. – volume: 48 start-page: 1777 year: 2014 end-page: 1806 ident: br0260 article-title: A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems publication-title: ESAIM, Math. Model. Numer. Anal. – volume: 17 start-page: 327 year: 2010 end-page: 350 ident: br0210 article-title: Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models publication-title: Arch. Comput. Methods Eng. – volume: 213–216 start-page: 29 year: 2012 end-page: 41 ident: br0120 article-title: Proper Generalized Decomposition based dynamic data-driven control of thermal processes publication-title: Comput. Methods Appl. Mech. Eng. – volume: 18 start-page: 395 year: 2011 end-page: 404 ident: br0230 article-title: A short review on model order reduction based on proper generalized decomposition publication-title: Arch. Comput. Methods Eng. – volume: 201–204 start-page: 1 year: 2012 end-page: 12 ident: br0100 article-title: Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity publication-title: Comput. Methods Appl. Mech. Eng. – volume: 42 start-page: 1169 year: 2011 end-page: 1178 ident: br0110 article-title: Methodological approach to efficient modeling and optimization of thermal processes taking place in a die: application to pultrusion publication-title: Composites, Part A, Appl. Sci. Manuf. – volume: 7 start-page: 81 year: 2014 end-page: 92 ident: br0060 article-title: First steps towards an advanced simulation of composites manufacturing by automated tape placement publication-title: Int. J. Mater. Form. – volume: 166 start-page: 578 year: 2011 end-page: 592 ident: br0220 article-title: An overview of the proper generalized decomposition with applications in computational rheology publication-title: J. Non-Newton. Fluid Mech. – year: 2014 ident: br0240 article-title: The Proper Generalized Decomposition for Advanced Numerical Simulations – start-page: 1 year: 2009 end-page: 8 ident: br0050 article-title: Modeling the accudyne thermoplastic in situ ATP process publication-title: Jec-Sampe – volume: 144 start-page: 98 year: 2007 end-page: 121 ident: br0080 article-title: A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. Part II: transient simulation using space–time separated representations publication-title: J. Non-Newton. Fluid Mech. – volume: 3 start-page: 4 year: 2016 ident: br0150 article-title: On the use of model order reduction for simulating automated fibre placement processes publication-title: Adv. Model. Simul. Eng. Sci. – year: 1971 ident: br0250 article-title: Optimal Control of Systems Governed by Partial Differential Equations – volume: 63 start-page: 2111 year: 2003 end-page: 2118 ident: br0040 article-title: Processing of unidirectional fiber reinforced tapes—fundamentals on the way to a process simulation tool (ProSimFRT) publication-title: Compos. Sci. Technol. – volume: 273 start-page: 56 year: 2014 end-page: 76 ident: br0270 article-title: Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – application to transient elastodynamics in space–time domain publication-title: Comput. Methods Appl. Mech. Eng. – start-page: 154 year: 1958 end-page: 165 ident: br0280 article-title: Iterative methods in concave programming publication-title: Studies in Linear and Nonlinear Programming – year: 2015 ident: br0200 article-title: Développement d'algorithmes de réduction de modèles pour l'optimisation du procédé PFR – volume: 20 start-page: 31 year: 2013 end-page: 59 ident: br0130 article-title: PGD-based computational vademecum for efficient design, optimization and control publication-title: Arch. Comput. Methods Eng. – volume: 43 start-page: 997 year: 2012 end-page: 1009 ident: br0010 article-title: The engineering aspects of automated prepreg layup: history, present and future publication-title: Composites, Part B, Eng. – volume: 70 start-page: 378 year: 1964 end-page: 384 ident: br0160 article-title: Tensor product analysis of partial difference equations publication-title: Bull. Amer. Math. Soc. – volume: 81 start-page: 791 year: 2010 end-page: 810 ident: br0090 article-title: On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition publication-title: Math. Comput. Simul. – volume: 213–216 start-page: 29 year: 2012 ident: key2024021916521990714_12 article-title: Proper Generalized Decomposition based dynamic data-driven control of thermal processes publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2011.11.018 – year: 2015 ident: key2024021916521990714_20 publication-title: Développement d'algorithmes de réduction de modèles pour l'optimisation du procédé PFR – year: 1971 ident: key2024021916521990714_25 publication-title: Optimal Control of Systems Governed by Partial Differential Equations doi: 10.1007/978-3-642-65024-6 – year: 1960 ident: key2024021916521990714_18 publication-title: Basic Theorems in Matrix Theory – volume: 10 start-page: 779 issue: 5 year: 2017 ident: key2024021916521990714_14 article-title: About the origins of residual stresses in in situ consolidated thermoplastic composite rings publication-title: Int. J. Mater. Form. doi: 10.1007/s12289-016-1319-2 – start-page: 1 year: 2009 ident: key2024021916521990714_5 publication-title: Modeling the accudyne thermoplastic in situ ATP process – volume: 273 start-page: 56 year: 2014 ident: key2024021916521990714_27 article-title: Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – application to transient elastodynamics in space–time domain publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2014.01.019 – start-page: 154 year: 1958 ident: key2024021916521990714_28 publication-title: Iterative methods in concave programming – volume: 70 start-page: 378 year: 1964 ident: key2024021916521990714_16 article-title: Tensor product analysis of partial difference equations publication-title: Bull. Amer. Math. Soc. doi: 10.1090/S0002-9904-1964-11105-8 – volume: 81 start-page: 791 issue: 4 year: 2010 ident: key2024021916521990714_9 article-title: On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2010.07.015 – volume: 20 start-page: 31 issue: 1 year: 2013 ident: key2024021916521990714_13 article-title: PGD-based computational vademecum for efficient design, optimization and control publication-title: Arch. Comput. Methods Eng. doi: 10.1007/s11831-013-9080-x – volume: 39 start-page: 1883 issue: 9 year: 1996 ident: key2024021916521990714_3 article-title: Analysis of transport phenomena governing interfacial bonding and void dynamics during thermoplastic tow-placement publication-title: Int. J. Heat Mass Transf. doi: 10.1016/0017-9310(95)00271-5 – volume: 3 start-page: 4 issue: 1 year: 2016 ident: key2024021916521990714_15 article-title: On the use of model order reduction for simulating automated fibre placement processes publication-title: Adv. Model. Simul. Eng. Sci. doi: 10.1186/s40323-016-0056-x – year: 2014 ident: key2024021916521990714_24 publication-title: The Proper Generalized Decomposition for Advanced Numerical Simulations doi: 10.1007/978-3-319-02865-1 – volume: 42 start-page: 1169 issue: 9 year: 2011 ident: key2024021916521990714_11 article-title: Methodological approach to efficient modeling and optimization of thermal processes taking place in a die: application to pultrusion publication-title: Composites, Part A, Appl. Sci. Manuf. doi: 10.1016/j.compositesa.2011.05.001 – volume: 7 start-page: 81 year: 2014 ident: key2024021916521990714_6 article-title: First steps towards an advanced simulation of composites manufacturing by automated tape placement publication-title: Int. J. Mater. Form. doi: 10.1007/s12289-012-1112-9 – volume: 139 start-page: 153 issue: 3 year: 2006 ident: key2024021916521990714_7 article-title: A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids publication-title: J. Non-Newton. Fluid Mech. doi: 10.1016/j.jnnfm.2006.07.007 – volume: 144 start-page: 98 issue: 2–3 year: 2007 ident: key2024021916521990714_8 article-title: A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. Part II: transient simulation using space–time separated representations publication-title: J. Non-Newton. Fluid Mech. doi: 10.1016/j.jnnfm.2007.03.009 – volume: 166 start-page: 578 issue: 11 year: 2011 ident: key2024021916521990714_22 article-title: An overview of the proper generalized decomposition with applications in computational rheology publication-title: J. Non-Newton. Fluid Mech. doi: 10.1016/j.jnnfm.2010.12.012 – volume: 43 start-page: 997 issue: 3 year: 2012 ident: key2024021916521990714_1 article-title: The engineering aspects of automated prepreg layup: history, present and future publication-title: Composites, Part B, Eng. doi: 10.1016/j.compositesb.2011.12.003 – year: 1974 ident: key2024021916521990714_19 publication-title: Finite-Dimensional Vector Spaces doi: 10.1007/978-1-4612-6387-6 – volume: 15 start-page: 525 year: 2002 ident: key2024021916521990714_2 article-title: Analysis of process-induced residual stresses in tape placement publication-title: J. Thermoplast. Compos. Mater. doi: 10.1177/0892705702015006207 – volume: 201–204 start-page: 1 year: 2012 ident: key2024021916521990714_10 article-title: Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2011.08.025 – year: 2008 ident: key2024021916521990714_29 publication-title: Multigrid Solvers for Saddle Point Problems in PDE-Constrained Optimization Dissertation – volume: 18 start-page: 395 issue: 4 year: 2011 ident: key2024021916521990714_23 article-title: A short review on model order reduction based on proper generalized decomposition publication-title: Arch. Comput. Methods Eng. doi: 10.1007/s11831-011-9064-7 – volume: 6 start-page: 185 issue: 1 year: 1964 ident: key2024021916521990714_17 article-title: Direct solution of partial difference equations by tensor product methods publication-title: Numer. Math. doi: 10.1007/BF01386067 – volume: 63 start-page: 2111 issue: 14 year: 2003 ident: key2024021916521990714_4 article-title: Processing of unidirectional fiber reinforced tapes—fundamentals on the way to a process simulation tool (ProSimFRT) publication-title: Compos. Sci. Technol. doi: 10.1016/S0266-3538(03)00108-8 – volume: 48 start-page: 1777 issue: 6 year: 2014 ident: key2024021916521990714_26 article-title: A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems publication-title: ESAIM, Math. Model. Numer. Anal. doi: 10.1051/m2an/2014019 – volume: 17 start-page: 327 issue: 4 year: 2010 ident: key2024021916521990714_21 article-title: Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models publication-title: Arch. Comput. Methods Eng. doi: 10.1007/s11831-010-9049-y |
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| SubjectTerms | Automated Fibre Placement Composites Engineering Sciences Mechanics Model order reduction Numerical simulation Optimal control Proper Generalized Decomposition Simulation based control Structural mechanics |
| Title | Reduced-order model of optimal temperature control for the automated fibre placement process |
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