Engineering with Computers

, Volume 35, Issue 1, pp 127–138 | Cite as

A new fast convergent iteration regularization method

  • Linjun WangEmail author
  • Youxiang XieEmail author
  • Zhengjia Wu
  • Yixian Du
  • Kongde He
Original Article


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.


Dynamic load identification Ill-posed problems General source conditions Iteration regularization Structural dynamics 



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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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Hubei Key Laboratory of Hydroelectric Machinery Design and Maintenance, College of Mechanical and Power EngineeringChina Three Gorges UniversityYichangPeople’s Republic of China
  2. 2.College of Mathematics and EconometricsHunan UniversityChangshaPeople’s Republic of China
  3. 3.School of Chemistry, Physics and Mechanical EngineeringQueensland University of TechnologyBrisbaneAustralia
  4. 4.College of Science TechnologyChina Three Gorges UniversityYichangPeople’s Republic of China

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