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A case study of multicriteria shape optimization of thin structures

Abstract : Aerosol cans are usually made of thin high performance steel and are fi lled with fluid at high pressure. For these two reasons, and considering usage and packaging requirements, the structural stability of their ends, top and bottom is then delicate to maintain. In the present work, we address the problem of shape optimization of the bottom of a can, in order to control the dome growth DG (e.g. displacement of can base) at a proof pressure as well as the dome reversal pressure DRP, a critical pressure at which the can bottom looses stability (e.g. initiates buckling). We fi rst implemented and validated an RBF-like metamodel to have at hand cheap criteria surrogates (DG,DRP) using a 2D spline representation in an axi-symmetric setting. Then, we implemented a Normal Boundary Intersection -NBI- with fi ltering for- mulation in order to capture the -approximate- Pareto Front, using an FSQP method for the NBI-related sub-optimizations. The obtained approximate Pareto Fronts corroborate the antagonistic behavior of the DG and DRP criteria, and are successfully compared to the projection on the exact cost evaluations. We also identify Pareto-optimal solutions which lie in a restrictive industrial-prescribed acceptable interval for the DG- DRP costs. We then consider the problem of selection of solutions among the Pareto Front. We model the selection problem as a Nash game played by the two costs DG and DRP, and show that an arbitrary splitting of the shape parameters among the two players may lead to ine fficient solutions (strictly dominated by Pareto-optimal ones).
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Contributor : Abderrahmane Habbal Connect in order to contact the contributor
Submitted on : Friday, January 3, 2014 - 4:53:13 PM
Last modification on : Thursday, August 4, 2022 - 4:52:47 PM


  • HAL Id : hal-00923641, version 1


Abderrahmane Habbal, Aalae Benki, Olivier Beigneux, Gaël Mathis. A case study of multicriteria shape optimization of thin structures. 10th World Congress on Structural and Multidisciplinary Optimization, May 2013, Orlando, FL, United States. ⟨hal-00923641⟩



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