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Title: Meta-Model Based Optimisation Algorithms for Robust Optimization of 3D Forging Sequences

Abstract

In order to handle costly and complex 3D metal forming optimization problems, we develop a new optimization algorithm that allows finding satisfactory solutions within less than 50 iterations (/function evaluation) in the presence of local extrema. It is based on the sequential approximation of the problem objective function by the Meshless Finite Difference Method (MFDM). This changing meta-model allows taking into account the gradient information, if available, or not. It can be easily extended to take into account uncertainties on the optimization parameters. This new algorithm is first evaluated on analytic functions, before being applied to a 3D forging benchmark, the preform tool shape optimization that allows minimizing the potential of fold formation during the two-stepped forging sequence.

Authors:
 [1]
  1. CEMEF, Ecole des Mines de Paris, BP 207, 06 904 Sophia Antipolis Cedex (France)
Publication Date:
OSTI Identifier:
21057014
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 907; Journal Issue: 1; Conference: 10. ESAFORM conference on material forming, Zaragoza (Spain), 18-20 Apr 2007; Other Information: DOI: 10.1063/1.2729482; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE; ALGORITHMS; ANALYTIC FUNCTIONS; APPROXIMATIONS; BENCHMARKS; COMPUTERIZED SIMULATION; FINITE DIFFERENCE METHOD; FORGING; METALS; OPTIMIZATION

Citation Formats

Fourment, Lionel. Meta-Model Based Optimisation Algorithms for Robust Optimization of 3D Forging Sequences. United States: N. p., 2007. Web. doi:10.1063/1.2729482.
Fourment, Lionel. Meta-Model Based Optimisation Algorithms for Robust Optimization of 3D Forging Sequences. United States. doi:10.1063/1.2729482.
Fourment, Lionel. Sat . "Meta-Model Based Optimisation Algorithms for Robust Optimization of 3D Forging Sequences". United States. doi:10.1063/1.2729482.
@article{osti_21057014,
title = {Meta-Model Based Optimisation Algorithms for Robust Optimization of 3D Forging Sequences},
author = {Fourment, Lionel},
abstractNote = {In order to handle costly and complex 3D metal forming optimization problems, we develop a new optimization algorithm that allows finding satisfactory solutions within less than 50 iterations (/function evaluation) in the presence of local extrema. It is based on the sequential approximation of the problem objective function by the Meshless Finite Difference Method (MFDM). This changing meta-model allows taking into account the gradient information, if available, or not. It can be easily extended to take into account uncertainties on the optimization parameters. This new algorithm is first evaluated on analytic functions, before being applied to a 3D forging benchmark, the preform tool shape optimization that allows minimizing the potential of fold formation during the two-stepped forging sequence.},
doi = {10.1063/1.2729482},
journal = {AIP Conference Proceedings},
number = 1,
volume = 907,
place = {United States},
year = {Sat Apr 07 00:00:00 EDT 2007},
month = {Sat Apr 07 00:00:00 EDT 2007}
}