A new fast convergent iteration regularization method

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.