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Optimization of friction stir welding using space mapping and manifold mapping—an initial study of thermal aspects

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Abstract

The aim of this paper is to optimize a thermal model of a friction stir welding process by finding optimal welding parameters. The optimization is performed using space mapping and manifold mapping techniques in which a coarse model is used along with the fine model to be optimized. Different coarse models are applied and the results and computation time are compared to gradient based optimization using the full model. It is found that the use of space and manifold mapping reduces the computational cost significantly due to the fact that fewer function evaluations and no fine model gradient information is required.

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Authors and Affiliations

  1. Department of Mathematics, Matematiktorvet, Technical University of Denmark, 2800, Lyngby, Denmark

    Anders A. Larsen & Martin Bendsøe

  2. Department of Mechanical Engineering, Technical University of Denmark, 2800, Lyngby, Denmark

    Jesper Hattel & Henrik Schmidt

Authors
  1. Anders A. Larsen
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  2. Martin Bendsøe
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  3. Jesper Hattel
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  4. Henrik Schmidt
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Corresponding author

Correspondence to Anders A. Larsen.

Additional information

Part of this work was presented at WCSMO7, Seoul, Korea.

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Larsen, A.A., Bendsøe, M., Hattel, J. et al. Optimization of friction stir welding using space mapping and manifold mapping—an initial study of thermal aspects. Struct Multidisc Optim 38, 289–299 (2009). https://doi.org/10.1007/s00158-008-0288-6

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  • DOI: https://doi.org/10.1007/s00158-008-0288-6

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