| 2015, 04 April |
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DOI: 10.14489/td.2015.04.pp.010-017
Zagidulin R.V., Zagidulin T.R., Konnov V.V., Konnov A.V. Abstract. It is considered the mathematical approach based on the principle of variability to evaluate crack depth in ametal on measured signal of a differential eddy current transducer (ECT). It is reported about obtained symbolic expression for regularization of variable of a smoothing functional whose minimum determines the depth of a crack in the metal. The settings influence on regularization variable and preciseness of crack depth evaluation. Optimum values of settings provide the highest robustness of solution obtained at high noise of measured signal. This values have been calculated. The evaluation of the depth of cracks artificially etched in the steel specimens on the signalsof differential eddy current transducer measured according tothe proposed mathematical approach showed that it has enough robustness with respect to noise and preciseness for the application of electromagnetic flaw. Keywords: differential eddy current transducer, crack in the metal, depth of crack, sign of classification, functional, stabilizer, variable of regularization, relative error.
R. V. Zagidulin, T. R. Zagidulin V. V. Konnov, A. V. Konnov
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