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A new fast convergent iteration regularization method

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Abstract

Dynamic loads widely exist in numerous applications of mechanical engineering structures, and their identification signifies an important issue for studying mechanical consequence of engineering structures and characterizing their dynamic characteristics. This research aims to reconstruct the dynamic loads in the deterministic structure of thin-walled cylindrical shell and airfoil structure. A new fast convergent iteration regularization method is developed and proposed for identifying dynamic loads. The stability, effectiveness, and convergence of this method are proved according to the regularization theory. The optimum asymptotic convergence order of the regularized solution is also provided according to the Morozov’s discrepancy principle. In addition, two engineering examples are investigated to validate the effectiveness of the identification method proposed. The results demonstrate the applicability of the proposed method in mechanical engineering.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (51641505, 51775307, 51775308), the Open Fund of Hubei key Laboratory of Hydroelectric Machinery Design and Maintenance (2016KJX01), and Hubei Chenguang Talented Youth Development Foundation.

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Authors and Affiliations

  1. Hubei Key Laboratory of Hydroelectric Machinery Design and Maintenance, College of Mechanical and Power Engineering, China Three Gorges University, Yichang, 443002, Hubei, People’s Republic of China

    Linjun Wang, Zhengjia Wu, Yixian Du & Kongde He

  2. College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, People’s Republic of China

    Linjun Wang & Youxiang Xie

  3. School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, Brisbane, QLD, 4001, Australia

    Linjun Wang

  4. College of Science Technology, China Three Gorges University, Yichang, 443002, Hubei, People’s Republic of China

    Youxiang Xie

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  1. Linjun Wang
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  2. Youxiang Xie
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  3. Zhengjia Wu
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  4. Yixian Du
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  5. Kongde He
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Correspondence to Linjun Wang or Youxiang Xie.

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Wang, L., Xie, Y., Wu, Z. et al. A new fast convergent iteration regularization method. Engineering with Computers 35, 127–138 (2019). https://doi.org/10.1007/s00366-018-0588-4

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  • DOI: https://doi.org/10.1007/s00366-018-0588-4

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