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Multiobjective optimization of laminated composite parts with curvilinear fibers using Kriging-based approaches

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Abstract

This paper describes the multiobjective optimization of parts made with curvilinear fiber composites. Two structures are studied: a square plate and a fuselage-like section. The square plate is designed in two ways. First, classical lamination theory (CLT) is used to obtain the structural response for a plate with straight fibers designed for maximum buckling load and maximum stiffness. The same plate is then designed with curved fibers using finite element analysis (FEA) to determine the structural response. Next, the fuselage-like section is designed using the same FEA approach. The problems have three to twelve variables. To enable the resulting Pareto front to be visualized more clearly, only two objectives are considered. The first two optimization problems are unconstrained, while the last one is constrained by two project requirements. To overcome the problem of long computational run time when using FEA, Kriging-based approaches are used. Three such approaches suitable for multiobjective problems are compared: (i) the efficient global optimization algorithm (EGO) is applied to a single-objective function consisting of a weighted combination of the objectives, (ii) a technique that involves sequential maximization of the expected hypervolume improvement, and (iii) a novel approach proposed here based on sequential minimization of the variance of the predicted Pareto front. Comparison of the results using the inverted generational distance (IGD) metric revealed that the approach (iii) had the best performance (mean) and best robustness (standard deviation) for all the cases studied.

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Notes

  1. Symmetric laminates are laminates that the stacking sequence (lamination sequence) is symmetric with respect to the their mid-planes laminate, and balanced laminates those in which for each + θ ply orientation there is a − θ ply (of the same material and thickness) somewhere in the laminate.

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  1. Department of Mechanical Engineering, Federal University of Technology, Paraná, Curitiba, PR, Brazil

    A. G. Passos & M. A. Luersen

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  1. A. G. Passos
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  2. M. A. Luersen
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Correspondence to A. G. Passos.

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Passos, A.G., Luersen, M.A. Multiobjective optimization of laminated composite parts with curvilinear fibers using Kriging-based approaches. Struct Multidisc Optim 57, 1115–1127 (2018). https://doi.org/10.1007/s00158-017-1800-7

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  • DOI: https://doi.org/10.1007/s00158-017-1800-7

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