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Interval Uncertainty Analysis Using CANDECOMP/PARAFAC Decomposition

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Model Validation and Uncertainty Quantification, Volume 3

Abstract

A new interval uncertain analysis method is proposed based on CANDECOMP/PARAFAC (CP) decomposition. In interval uncertain analysis of structural dynamics, we need to evaluate the lower and upper bounds of uncertain responses. To avoid the overestimation of the lower and upper bounds caused by the wrapping effect, the CP decomposition is used to approximate the interval functions. In CP decomposition, the interval functions are represented with only a few terms, and the energy of each term usually decays fast. In this way, we can achieve shaper and tighter bounds of the interval functions. CP decomposition can be obtained using different methods. Some numerical examples are demonstrated to compare the method with other methods and illustrate the effectiveness of this method.

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Authors and Affiliations

  1. State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

    Jinchun Lan & Zhike Peng

Authors
  1. Jinchun Lan
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  2. Zhike Peng
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Corresponding author

Correspondence to Zhike Peng .

Editor information

Editors and Affiliations

  1. Civil Engineering, Clemson University, CLEMSON, South Carolina, USA

    Sez Atamturktur

  2. Kohler Company, Kohler, USA

    Tyler Schoenherr

  3. Tufts University, Medford, Massachusetts, USA

    Babak Moaveni

  4. University of Thessaly, Thessaly, Greece

    Costas Papadimitriou

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© 2016 The Society for Experimental Mechanics, Inc.

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Lan, J., Peng, Z. (2016). Interval Uncertainty Analysis Using CANDECOMP/PARAFAC Decomposition. In: Atamturktur, S., Schoenherr, T., 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/10.1007/978-3-319-29754-5_7

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  • DOI: https://doi.org/10.1007/978-3-319-29754-5_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29753-8

  • Online ISBN: 978-3-319-29754-5

  • eBook Packages: EngineeringEngineering (R0)

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