A new iteration regularization method for dynamic load identification of stochastic structures

In this paper, we propose a novel fast convergence iterative regularization method on the basis of a new iterative regularization operator to solve the dynamic load identification of stochastic structures. Firstly, the validity and convergence of the proposed algorithm is proved by strict mathematical theory and numerical results of engineering example. Secondly, the dynamic load identification of uncertain structures can be transformed into a series of deterministic inverse problems by the matrix perturbation method. Finally, we also assess the statistical characteristics of identified loads using the statistical theory. Particularly, the proposed method successfully solves the dynamic load identification of stochastic structure. Numerical simulations are given to validate the feasibility of the presented method in this paper. ? 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper proposes a novel fast convergence iterative regularization method for dynamic load identification of stochastic structures. The validity and convergence of the algorithm are proved through strict mathematical theory and numerical results of engineering example. The method successfully solves the dynamic load identification problem and evaluates the statistical characteristics of identified loads using statistical theory.