A NOVEL REGULARIZATION METHOD AND APPLICATION TO LOAD IDENTIFICATION OF COMPOSITE LAMINATED CYLINDRICAL SHELL
Author(s) -
Linjun Wang,
Youxiang Xie
Publication year - 2015
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2015044
Subject(s) - composite number , materials science , shell (structure) , regularization (linguistics) , composite material , structural engineering , mathematics , computer science , engineering , artificial intelligence
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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