期刊
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
卷 156, 期 -, 页码 -出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2020.107586
关键词
Inverse problem; Dynamic load identification; Interval analysis method; Matrix perturbation method; Stochastic mechanics
资金
- National Natural Science Foundation of China [51975324, 51775308]
- Open Fund of Hubei key Laboratory of Hydroelectric Machinery Design and Maintenance [2019KJX12]
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.
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.
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