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Predicting the Dynamic Response of Dual-Rotor System Subject to Interval Parametric Uncertainties Based on the Non-Intrusive Metamodel

Author

Listed:
  • Chao Fu

    (Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, China
    Centre for Efficiency and Performance Engineering, University of Huddersfield, Queensgate, Huddersfield HD1 3DH, UK)

  • Guojin Feng

    (Centre for Efficiency and Performance Engineering, University of Huddersfield, Queensgate, Huddersfield HD1 3DH, UK)

  • Jiaojiao Ma

    (Centre for Efficiency and Performance Engineering, University of Huddersfield, Queensgate, Huddersfield HD1 3DH, UK
    School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, China)

  • Kuan Lu

    (Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, China)

  • Yongfeng Yang

    (Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, China)

  • Fengshou Gu

    (Centre for Efficiency and Performance Engineering, University of Huddersfield, Queensgate, Huddersfield HD1 3DH, UK)

Abstract

In this paper, the non-probabilistic steady-state dynamics of a dual-rotor system with parametric uncertainties under two-frequency excitations are investigated using the non-intrusive simplex form mathematical metamodel. The Lagrangian formulation is employed to derive the equations of motion (EOM) of the system. The simplex form metamodel without the distribution functions of the interval uncertainties is formulated in a non-intrusive way. In the multi-uncertain cases, strategies aimed at reducing the computational cost are incorporated. In numerical simulations for different interval parametric uncertainties, the special propagation mechanism is observed, which cannot be found in single rotor systems. Validations of the metamodel in terms of efficiency and accuracy are also carried out by comparisons with the scanning method. The results will be helpful to understand the dynamic behaviors of dual-rotor systems subject to uncertainties and provide guidance for robust design and analysis.

Suggested Citation

  • Chao Fu & Guojin Feng & Jiaojiao Ma & Kuan Lu & Yongfeng Yang & Fengshou Gu, 2020. "Predicting the Dynamic Response of Dual-Rotor System Subject to Interval Parametric Uncertainties Based on the Non-Intrusive Metamodel," Mathematics, MDPI, vol. 8(5), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:736-:d:355007
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    References listed on IDEAS

    as
    1. J.-J. Sinou & L. Nechak & S. Besset, 2018. "Kriging Metamodeling in Rotordynamics: Application for Predicting Critical Speeds and Vibrations of a Flexible Rotor," Complexity, Hindawi, vol. 2018, pages 1-26, March.
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    Cited by:

    1. Xin Jiang & Zhengfeng Bai, 2022. "Interval Uncertainty Quantification for the Dynamics of Multibody Systems Combing Bivariate Chebyshev Polynomials with Local Mean Decomposition," Mathematics, MDPI, vol. 10(12), pages 1-16, June.

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