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Moving least squares response surface approximation: Formulation and metal forming applications

Abstract : We focus on a successive response surface method for the optimization problems. The response surfaces are built using Moving Least Squares approximations constructed within a moving region of interest. Our first approach is an extension of pattern search algorithms with a fixed pattern panned and zoomed in a continuous manner across the design space. In the second one, the region of interest moves across a predefined discrete grid of authorized experimental designs. Two examples of the sheet metal forming process are used to demonstrate the robustness of the method. We use the one-step Inverse Approach as a surrogate model during the optimization. The final designs is validated with Stampack commercial code based on Explicit Dynamics Approach
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https://hal.utc.fr/hal-01994257
Contributor : Piotr Breitkopf Connect in order to contact the contributor
Submitted on : Friday, January 25, 2019 - 1:16:33 PM
Last modification on : Wednesday, August 31, 2022 - 5:06:29 PM

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Piotr Breitkopf, Hakim Naceur, Alain Rassineux, Pierre Villon. Moving least squares response surface approximation: Formulation and metal forming applications. Computers & Structures, Elsevier, 2005, 83 (17-18), pp.1411-1428. ⟨10.1016/j.compstruc.2004.07.011⟩. ⟨hal-01994257⟩

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