Reduced-order model of optimal temperature control for the automated fibre placement process

Nicolas Bur; Pierre Joyot; Pierre Villon

doi:10.1016/j.crme.2018.04.007

Model reduction, data-based and advanced discretization in computational mechanics

Reduced-order model of optimal temperature control for the automated fibre placement process

Nicolas Bur ¹ ; Pierre Joyot ²; Pierre Villon ³

¹ ESTIA-Recherche, Technopôle Izarbel, 64210 Bidart, France
² ESTIA, CNRS, I2M Bordeaux, Technopôle Izarbel, 64210 Bidart, France
³ Université de technologie de Compiègne, Département “Génie des systèmes mécaniques”, Centre de recherches de Royallieu, CS 60319, 60203 Compiègne cedex, France

Comptes Rendus. Mécanique, Volume 346 (2018) no. 7, pp. 556-570.

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.

Received: 2018-03-16
Accepted: 2018-04-09
Published online: 2018-05-24

DOI: 10.1016/j.crme.2018.04.007

Keywords: Composites, Automated Fibre Placement, Numerical simulation, Model order reduction, Proper Generalized Decomposition, Simulation based control, Optimal control

Author's affiliations:

Nicolas Bur ¹; Pierre Joyot ²; Pierre Villon ³

¹ ESTIA-Recherche, Technopôle Izarbel, 64210 Bidart, France
² ESTIA, CNRS, I2M Bordeaux, Technopôle Izarbel, 64210 Bidart, France
³ 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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Nicolas Bur; Pierre Joyot; Pierre Villon. Reduced-order model of optimal temperature control for the automated fibre placement process. Comptes Rendus. Mécanique, Volume 346 (2018) no. 7, pp. 556-570. doi : 10.1016/j.crme.2018.04.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.04.007/

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