Open Access

ARTICLE

A New Iterative Regularization Method for Solving the Dynamic Load Identification Problem

Linjun Wang^1,2, Xu Han³, Youxiang Xie⁴

1 Corresponding author. E-mail: ljwang2006@126.com (L. Wang)
2 College of Mechanical and Material Engineering, China Three Gorges University, Yichang, Hubei 443002, P. R. China
3 State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha City 410082, People’s Republic of China
4 College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, P. R. China

Computers, Materials & Continua 2012, 31(2), 113-126. https://doi.org/10.3970/cmc.2012.031.113

Abstract

In this paper, a new iterative regularization method (ITR) is presented to solve the reconstruction of multi-source dynamic loads acting on the structure of simple supported plate. Based on a quadratical convergence method, this method is used to compute the the approximate inverse of square matrix. The theoretical proofs and numerical test show that the proposed method is very effective. Finally, the present method is applied to the identification of the multi-source dynamic loads on a surface of simply supported plate. Numerical simulations of two examples demonstrate the effectiveness and robustness of the present method.

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Keywords

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