A new regularization method and application to dynamic load identification problems

Abstract

In this article, a new regularization method is proposed and applied to the identification of multi-source dynamic loads acting on a surface of composite laminated cylindrical shell. In general terms, regularization is the approximation of an ill-posed problem by a family of neighbouring well-posed problems. Based on the construction of a new regularization operator, corresponding regularization method is established. We propose a regularization operator, thus construct a new regularization method, and prove its regular property. The present method is applied to load identification of composite laminated cylindrical shell. The transient displacement response can be obtained by the finite element method. The multi-source dynamic loads on a surface of composite laminated cylindrical shell are successfully identified, which demonstrates the efficiency and robustness of the present method.

Keywords:

• load identification
• ill-posed problems
• regularization method
• finite element method
• composite laminated cylindrical shell

Acknowledgements

This work is supported by the National Science Foundation of China for Distinguished Young Scholars (10725208) and a research grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CityU 113809). The authors thank the anonymous referees and the editor for carefully reading this article and suggesting many helpful comments on improving the original manuscript.