<p>This study develops a novel fractional Tikhonov regularization (FTR) approach to reconstruct the time-varying forces exerted on the radial steel gate structure, addressing both deterministic and uncertain structural parameter scenarios. The regularization method is an effective approach for dealing with ill-posed problems. It stabilizes the solution process by introducing a regularization term, thereby obtaining more accurate and reliable solutions. After setting the theoretical basis in this paper, the construction of new fractional order regularization method is completed by defining a new fractional order regularization operator. The proposed method is applied to the identification of the dynamic load of radial steel gate structure. Numerical simulation experiments show that the newly developed method can effectively suppress the influence of noise on the results, making the identification results more stable and accurate. Finally, we apply this present algorithm to the identification of dynamic loads in random structures. The results of numerical simulations demonstrate that the proposed algorithm has good performances in solving the problem about dynamic load identification of random structures.</p>

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A New Fractional Order Regularization Method for Dynamic Load Identification of Radial Steel Gate Structure

  • Linjun Wang,
  • Minghang Yang,
  • Jiahui Li,
  • Youxiang Xie,
  • Haihua Wu

摘要

This study develops a novel fractional Tikhonov regularization (FTR) approach to reconstruct the time-varying forces exerted on the radial steel gate structure, addressing both deterministic and uncertain structural parameter scenarios. The regularization method is an effective approach for dealing with ill-posed problems. It stabilizes the solution process by introducing a regularization term, thereby obtaining more accurate and reliable solutions. After setting the theoretical basis in this paper, the construction of new fractional order regularization method is completed by defining a new fractional order regularization operator. The proposed method is applied to the identification of the dynamic load of radial steel gate structure. Numerical simulation experiments show that the newly developed method can effectively suppress the influence of noise on the results, making the identification results more stable and accurate. Finally, we apply this present algorithm to the identification of dynamic loads in random structures. The results of numerical simulations demonstrate that the proposed algorithm has good performances in solving the problem about dynamic load identification of random structures.