| Volume 5, Number 4, 2015, Pages 570-580 DOI：10.11948/2015044 |
| A novel regularization method and application to load identification of composite laminated cylindrical shell |
| Linjun Wang,Youxiang Xie |
| Keywords:Load identification,ill-posed problems,regularization, general source conditions |
| Abstract: |
| In this paper, a novel regularization method (MRO) is suggested to identify the multi-source dynamic loads on a surface of composite laminated cylindrical shell. Regularization methods can solve the di±culty of the solution of ill-conditioned inverse problems by the approximation of a family of neighbouring well-posed problems. Based on the construction of a new regularization operator, corresponding regularization method is established. We prove the stability of the proposed method according to suitable parameter choice strategy that leads to optimal convergence rate toward the minimalnorm and least square solution of an ill-posed linear operator equation in the presence of noisy data. Furthermore, numerical simulations show that the multi-source dynamic loads on a surface of composite laminated cylindrical shell are successfully identi¯ed, and demonstrate the e®ectiveness and robustness of the present method. |
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