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.
Highlights
It is expected that structural damage prognosis as a promising technology will be applied to aerospace systems in the future
Farrar et al assisted that structural damage prognosis can be defined as the estimation of a system’s remaining useful life based on behavioral prediction models [7]
We propose a modified regularization operator, and establish a corresponding stable regularization method, and prove that the regularized approximations provide order optimal error bound on the appropriate set than Tikhonov regularization method, apply the present method to the reconstruction of the distributed dynamic loads acting on the composite laminated cylindrical shell
Summary
It is expected that structural damage prognosis as a promising technology will be applied to aerospace systems in the future. In developing structural health monitoring systems, it has received much attention to establishing a method for identifying the distributed dynamic loads on a continuum so that the evolution of induced damage can be predicted [2, 15, 17,18,19, 21]. We propose a modified regularization operator, and establish a corresponding stable regularization method, and prove that the regularized approximations provide order optimal error bound on the appropriate set than Tikhonov regularization method, apply the present method to the reconstruction of the distributed dynamic loads acting on the composite laminated cylindrical shell.
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