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Parameterization of Large Variability Using the Hyper-Dual Meta-model

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Model Validation and Uncertainty Quantification, Volume 3

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Abstract

One major problem in the design of aerospace components is the nonlinear changes in the response due to a change in the geometry and material properties. Many of these components have small nominal values and any change can lead to a large variability. In order to characterize this large variability, traditional methods require either many simulation runs or the calculations of many higher order derivatives. Each of these paths requires a large amount of computational power to evaluate the response curve. In order to perform uncertainty quantification analysis, even more simulation runs are required. The hyper-dual meta-model is used to characterize the response curve with the use of basis functions. The information of the curve is generated with the utilization of the hyper-dual step to determine the sensitivities at a few number of simulation runs. This paper shows the accuracy of this method for two different systems with parameterization at different stages in the design.

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Acknowledgements

Sandia is a multi-mission laboratory operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000.

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Authors and Affiliations

  1. University of Wisconsin-Madison, Madison, WI, USA

    Matthew S. Bonney

  2. Engineering Physics, University of Wisconsin-Madison, Madison, WI, USA

    Daniel C. Kammer

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  1. Matthew S. Bonney
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  2. Daniel C. Kammer
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Corresponding author

Correspondence to Matthew S. Bonney .

Editor information

Editors and Affiliations

  1. University of Sheffield, Sheffield, United Kingdom

    Robert Barthorpe

  2. Fraunhofer Institute Darmstadt, Darmstadt, Germany

    Roland Platz

  3. Lawrence Livermore National Laboratory, Livermore, California, USA

    Israel Lopez

  4. Tufts University, Medford, Massachusetts, USA

    Babak Moaveni

  5. University of Thessaly, Thessaly, Greece

    Costas Papadimitriou

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© 2017 The Society for Experimental Mechanics, Inc.

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Bonney, M.S., Kammer, D.C. (2017). Parameterization of Large Variability Using the Hyper-Dual Meta-model. In: Barthorpe, R., Platz, R., Lopez, I., Moaveni, B., Papadimitriou, C. (eds) Model Validation and Uncertainty Quantification, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54858-6_20

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  • DOI: https://doi.org/10.1007/978-3-319-54858-6_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54857-9

  • Online ISBN: 978-3-319-54858-6

  • eBook Packages: EngineeringEngineering (R0)

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