Non-destructive Testing and Repair of Pipelines by Evgeny N. Barkanov Andrei Dumitrescu & Ivan A. Parinov

Author:Evgeny N. Barkanov, Andrei Dumitrescu & Ivan A. Parinov
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Error functional minimisation. In the case of identification of the elastic material properties , the error functional, which describes the difference between the experimental and numerical parameters of the structural responses, can be written as a least squares error estimator:

(17)

where are the experimentally determined resonant frequencies, are the numerically calculated eigenfrequencies (obtained from the response surfaces), is the vector of unknown parameters and is the total number of eigenfrequencies considered in the analysis.

To minimise the error functional, the following constrained nonlinear optimisation problem must be solved

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