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Multilevel optimization with local mass minimization

Merval, Antoine and Samuelides, Manuel and Grihon, Stéphane Multilevel optimization with local mass minimization. (2007) In: 2nd European conference for aerospace sciences - EUCASS 2007, 01-06 June 2007, Brussels, Belgium .

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Abstract

In this study, we propose a new multilevel optimisation process which responds to these requirements. The original optimization problem is decomposed into a system level and several element levels, aiming at the minimization of element weight under inequality constraints. Bounds of these constraints are given by the system level optimisation. In order to speed up the process and avoid local minima–which is met in most multilevel optimisation schemes- we replace the system constraints by a surrogate model. Last, a penalty term added in the "element level" objective allows us to force the equality of some design variables among all elements. The surrogate is incrementally built along system/element level loops from local optimisation results. For this reason, we choose to use Support Vector Regression methodology, which is more suitable to incremental training and data compression than more classical non-linear regression schemes such as neural networks are. The proposed multilevel strategy is tested on the classical ten bar truss problem; the benchmark structure is subject to several load cases and its weight is minimized under both mechanical and geometrical (equality in detailed variables) constraints. We obtain good results in terms of objective value, convergence time and detailed variables continuity. The implementation of our scheme on a full-size industrial problem: dimensioning of stiffened panels of a fuselage is under development.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution: Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Other partners > Airbus (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA
Other partners > Sogeti (FRANCE)
Laboratory name:
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Deposited By: Manuel Samuelides
Deposited On:17 Mar 2008 14:24

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