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A New Paradigm for the Optimum Design of Variable Angle Tow Laminates

In: Variational Analysis and Aerospace Engineering

Author

Listed:
  • Marco Montemurro

    (Arts et Métiers ParisTech)

  • Anita Catapano

    (Université de Bordeaux)

Abstract

In this work the authors propose a new paradigm for the optimum design of variable angle tow (VAT) composites. They propose a generalisation of a multi-scale two-level (MS2L) optimisation strategy already employed to solve optimisation problems of anisotropic structures characterised by a constant stiffness distribution. In the framework of the MS2L methodology, the design problem is split into two sub-problems. At the first step of the strategy the goal is to determine the optimum distribution of the laminate stiffness properties over the structure, while the second step aims at retrieving the optimum fibres-path in each layer meeting all the requirements provided by the problem at hand. The MS2L strategy relies on: (a) the polar formalism for describing the behaviour of the VAT laminate, (b) the iso-geometric surfaces for describing the spatial variation of the stiffness properties and (c) a hybrid optimisation tool (genetic- and gradient-based algorithms) to perform the solution search. The effectiveness of the MS2L strategy is proven through a numerical example on the maximisation of the first buckling factor of a VAT plate subject to both mechanical and manufacturability constraints.

Suggested Citation

  • Marco Montemurro & Anita Catapano, 2016. "A New Paradigm for the Optimum Design of Variable Angle Tow Laminates," Springer Optimization and Its Applications, in: Aldo Frediani & Bijan Mohammadi & Olivier Pironneau & Vittorio Cipolla (ed.), Variational Analysis and Aerospace Engineering, pages 375-400, Springer.
  • Handle: RePEc:spr:spochp:978-3-319-45680-5_14
    DOI: 10.1007/978-3-319-45680-5_14
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    Citations

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    Cited by:

    1. Anita Catapano & Marco Montemurro, 2020. "Strength Optimisation of Variable Angle-Tow Composites Through a Laminate-Level Failure Criterion," Journal of Optimization Theory and Applications, Springer, vol. 187(3), pages 683-706, December.
    2. Enrico Panettieri & Marco Montemurro & Daniele Fanteria & Francesco Coccia, 2020. "Multi-scale Least-Weight Design of a Wing-Box Through a Global/Local Modelling Approach," Journal of Optimization Theory and Applications, Springer, vol. 187(3), pages 776-799, December.
    3. Giulio Costa & Marco Montemurro & Jérôme Pailhès, 2018. "A General Hybrid Optimization Strategy for Curve Fitting in the Non-uniform Rational Basis Spline Framework," Journal of Optimization Theory and Applications, Springer, vol. 176(1), pages 225-251, January.
    4. Dossou Felix Kpadonou & Christian Fourcade & Paul Nazelle & Paolo Vannucci, 2020. "Anisotropy and Shape Optimal Design of Shells by the Polar–Isogeometric Approach," Journal of Optimization Theory and Applications, Springer, vol. 184(1), pages 61-97, January.

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