10.14489/td.2025.07.pp.023-034

2025, 07 July

DOI: 10.14489/td.2025.07.pp.023-034

Bondarenko A. N., Shavrin A. V.
ON THE CALCULATION OF TRANSVERSE SURFACE DEFECTS IN FERROMAGNETIC DIAGNOSTICS
(pp. 23-34)

Abstract. The Given – Find block of the Mathcad computer algebra system is used to effectively solve the inverse problem of determining the size of a defect from the observed values of the components of the magnetic field of the defect. The influence of the measurement error on the result error is considered. The block also allows, if necessary, to solve the problem of locating the defect. Analytical expressions in the Mathcad environment for the components of the magnetic field of the defect are constructed using a triangular model, which further effectively determine the size of the defect within this model. The discrepancy between the defect model used and the actual defect configuration can lead to large errors significantly exceeding the usual measurement errors resulting from instrument and/or technological imperfections. It is recommended to use the triangular distribution of the magnetic field components when evaluating the defect parameters.

Keywords: surface defect, magnetic flaw detection, measurement error, numerical modeling.

+ - About the Authors Click to collapse

A. N. Bondarenko (Russian University of Transport, Moscow, Russia)
A. V. Shavrin (Moscow State Automobile and Road Technical University, Moscow, Russia) E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.

+ - References Click to collapse

1. Kushner, A. V., & Novikov, V. A. (2014). Analysis of defect models in theoretical studies of leakage magnetic fields arising during magnetization of ferromagnetic objects. Vestnik Belorussko-Rossiyskogo Universiteta, (1(42)), 95-105. [in Russian language]
2. Zatsepin, N. N., & Shcherbinin, V. E. (1965). On the calculation of magnetostatic field of surface defects. 1. Topography of field models of surface defects. Defektoskopiya, (5), 50-59. [in Russian language]
3. Zatsepin, N. N. (2006). Absolute magnetostatic method for determining transverse dimensions of surface defects in ferromagnets (the "large" distances method). Kontrol'. Diagnostika, (7(97)), 29-36. [in Russian language]
4. D'yakonov, V. (2002). Mathcad 2001: Special reference guide. Piter. [in Russian language]

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