A NOVEL REGULARIZATION METHOD AND APPLICATION TO LOAD IDENTIFICATION OF COMPOSITE LAMINATED CYLINDRICAL SHELL

Linjun Wang; Youxiang Xie

doi:10.11948/2015044

2015 Volume 5 Issue 4

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Linjun Wang, Youxiang Xie. A NOVEL REGULARIZATION METHOD AND APPLICATION TO LOAD IDENTIFICATION OF COMPOSITE LAMINATED CYLINDRICAL SHELL[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 570-580. doi: 10.11948/2015044

Citation:

Linjun Wang, Youxiang Xie. A NOVEL REGULARIZATION METHOD AND APPLICATION TO LOAD IDENTIFICATION OF COMPOSITE LAMINATED CYLINDRICAL SHELL[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 570-580. doi: 10.11948/2015044

A NOVEL REGULARIZATION METHOD AND APPLICATION TO LOAD IDENTIFICATION OF COMPOSITE LAMINATED CYLINDRICAL SHELL

Linjun Wang¹,
Youxiang Xie²

1 College of Mechanical and Power Engineering, China Three Gorges University, Yichang, Hubei 443002, P. R. China;
2 College of Science Technology, China Three Gorges University, Yichang, Hubei 443002, PR China

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Abstract

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 difficulty 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 identified, and demonstrate the effectiveness and robustness of the present method.
- Load identification /
- ill-posed problems /
- regularization /
- general source conditions
MSC: 49Mxx;65Fxx

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References

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