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Published in: Engineering with Computers 1/2019

02-02-2018 | Original Article

A new fast convergent iteration regularization method

Authors: Linjun Wang, Youxiang Xie, Zhengjia Wu, Yixian Du, Kongde He

Published in: Engineering with Computers | Issue 1/2019

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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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Metadata
Title
A new fast convergent iteration regularization method
Authors
Linjun Wang
Youxiang Xie
Zhengjia Wu
Yixian Du
Kongde He
Publication date
02-02-2018
Publisher
Springer London
Published in
Engineering with Computers / Issue 1/2019
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-018-0588-4

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