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Erschienen in: Structural and Multidisciplinary Optimization 4/2016

20.04.2016 | RESEARCH PAPER

Multiparametric optimization for multidisciplinary engineering design

verfasst von: Jonathon Leverenz, Meng Xu, Margaret M. Wiecek

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 4/2016

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Abstract

The area of Multiparametric Optimization (MPO) solves problems that contain unknown problem data represented by parameters. The solutions map parameter values to optimal design and objective function values. In this paper, for the first time, MPO techniques are applied to improve and advance Multidisciplinary Design Optimization (MDO) to solve engineering problems with parameters. A multiparametric subgradient algorithm is proposed and applied to two MDO methods: Analytical Target Cascading (ATC) and Network Target Coordination (NTC). Numerical results on test problems show the proposed parametric ATC and NTC methods effectively solve parametric MDO problems and provide useful insights to designers. In addition, a novel Two-Stage ATC method is proposed to solve nonparametric MDO problems. In this new approach elements of the subproblems are treated as parameters and optimal design functions are constructed for each one. When the ATC loop is engaged, steps involving the lengthy optimization of subproblems are replaced with simple function evaluations.

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Metadaten
Titel
Multiparametric optimization for multidisciplinary engineering design
verfasst von
Jonathon Leverenz
Meng Xu
Margaret M. Wiecek
Publikationsdatum
20.04.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 4/2016
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-016-1437-y

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