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Structural Engineering and Mechanics Volume 88, Number 4, November25 2023 , pages 301-309 DOI: https://doi.org/10.12989/sem.2023.88.4.301 |
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A new conjugate gradient method for dynamic load identification of airfoil structure with randomness |
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Lin J. Wang, Jia H. Li and You X. Xie
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| Abstract | ||
| In this paper, a new modified conjugate gradient (MCG) method is presented which is based on a new gradient regularizer, and this method is used to identify the dynamic load on airfoil structure without and with considering random structure parameters. First of all, the newly proposed algorithm is proved to be efficient and convergent through the rigorous mathematics theory and the numerical results of determinate dynamic load identification. Secondly, using the perturbation method, we transform uncertain inverse problem about force reconstruction into determinate load identification problem. Lastly, the statistical characteristics of identified load are evaluated by statistical methods. Especially, this newly proposed approach has successfully solved determinate and uncertain inverse problems about dynamic load identification. Numerical simulations validate that the newly developed method in this paper is feasible and stable in solving load identification problems without and with considering random structure parameters. Additionally, it also shows that most of the observation error of the proposed algorithm in solving dynamic load identification of deterministic and random structure is respectively within 11.13%, 20%. | ||
| Key Words | ||
| conjugate gradient method; global convergence; Ill-posedness; line search; load identification | ||
| Address | ||
| Lin J. Wang: Hubei Key Laboratory of Hydroelectric Machinery Design and Maintenance, College of Mechanical and Power Engineering, China Three Gorges University, Yichang, Hubei 443002, PR China; School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, Brisbane, QLD 4001, Australia Jia H. Li: Hubei Key Laboratory of Hydroelectric Machinery Design and Maintenance, College of Mechanical and Power Engineering, China Three Gorges University, Yichang, Hubei 443002, PR China You X. Xie: College of Science Technology, China Three Gorges University, Yichang, Hubei 443002, PR China | ||