1. A general global-local modelling framework for the deterministic optimisation of composite structures
- Author
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Marco Picchi Scardaoni, Marco Montemurro, Institut de Mécanique et d'Ingénierie de Bordeaux (I2M), École Nationale Supérieure d'Arts et Métiers (ENSAM), Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)-Institut Polytechnique de Bordeaux-Centre National de la Recherche Scientifique (CNRS)-Université de Bordeaux (UB)-Institut National de la Recherche Agronomique (INRA), University of Pisa - Università di Pisa, and This paper presents part of the activities carried out within the research project PARSIFAL ('PrandtlPlane ARchitecture for the Sustainable Improvement of Future AirpLanes'), which has been funded by the European Union under the Horizon 2020 Research and Innovation Program (Grant Agreement n.723149)
- Subjects
Mathematical optimization ,Control and Optimization ,Cantilever ,Local modelling approach ,Computer science ,0211 other engineering and technologies ,02 engineering and technology ,Marsaglia polar method ,Design strategy ,[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph] ,01 natural sciences ,Polar method ,021105 building & construction ,Mécanique: Mécanique des structures [Sciences de l'ingénieur] ,0101 mathematics ,Anisotropy ,Composites ,Buckling ,Deterministic optimisation ,Global/local modelling approach ,Deterministic Optimisation ,Mécanique: Mécanique des solides [Sciences de l'ingénieur] ,Global ,Optimisation et contrôle [Mathématique] ,Computer Graphics and Computer-Aided Design ,Computer Science Applications ,Design for manufacturability ,010101 applied mathematics ,[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] ,Control and Systems Engineering ,Macroscopic scale ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,Engineering design process ,Software - Abstract
International audience; This work deals with the multi-scale optimisation of composite structures by adopting a general global-local (GL) modelling strategy to assess the structure responses at different scales. The GL modelling approach is integrated into the multi-scale two-level optimisation strategy (MS2LOS) for composite structures. The resulting design strategy is, thus, called GL-MS2LOS and aims at proposing a very general formulation of the design problem, without introducing simplifying hypotheses on the laminate stack and by considering, as design variables, the full set of geometric and mechanical parameters defining the behaviour of the composite structure at each pertinent scale. By employing a GL modelling approach, most of the limitations of well-established design strategies, based on analytical or semi-empirical models, are overcome. The GL-MS2LOS makes use of the polar formalism to describe the anisotropy of the composite at the macroscopic scale (where it is modelled as an equivalent homogeneous anisotropic plate). In this work, deterministic algorithms are exploited during the solution search phase. The challenge, when dealing with such a design problem, is to develop a suitable formulation and dedicated operators, to link global and local models physical responses and their gradients. Closed-form expressions of structural responses gradients are rigorously derived by taking into account for the coupling effects when passing from global to local models. The effectiveness of the GL-MS2LOS is proven on a meaningful benchmark: the least-weight design of a cantilever wing subject to different design requirements. Constraints include maximum allowable displacements, maximum allowable strains, blending, manufacturability requirements and buckling factor.; This work deals with the multi-scale optimisation of composite structures by adopting a general global-local (GL) modelling strategy to assess the structure responses at different scales. The GL modelling approach is integrated into the multi-scale two-level optimisation strategy (MS2LOS) for composite structures. The resulting design strategy is, thus, called GL-MS2LOS and aims at proposing a very general formulation of the design problem, without introducing simplifying hypotheses on the laminate stack and by considering, as design variables, the full set of geometric and mechanical parameters defining the behaviour of the composite structure at each pertinent scale. By employing a GL modelling approach, most of the limitations of well-established design strategies, based on analytical or semi-empirical models, are overcome. The GL-MS2LOS makes use of the polar formalism to describe the anisotropy of the composite at the macroscopic scale (where it is modelled as an equivalent homogeneous anisotropic plate). In this work, deterministic algorithms are exploited during the solution search phase. The challenge, when dealing with such a design problem, is to develop a suitable formulation and dedicated operators, to link global and local models physical responses and their gradients. Closed-form expressions of structural responses gradients are rigorously derived by taking into account for the coupling effects when passing from global to local models. The effectiveness of the GL-MS2LOS is proven on a meaningful benchmark: the least-weight design of a cantilever wing subject to different design requirements. Constraints include maximum allowable displacements, maximum allowable strains, blending, manufacturability requirements and buckling factor.
- Published
- 2020
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