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A turmitobionic method for the solution of magnetic defectometry problems in structural-parametric optimization formulation

  • Magnetic Methods
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Abstract

A turmitobionic method based on the structural-parametric optimization formulation of a problem has been proposed for the solution of the inverse problem of magnetic nondestructive testing. A solution is found with consideration for the finite dimensions of flaws and a test object and the nonlinearity of the magnetic characteristics of a ferromagnet.

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References

  1. Lunin, V.P., Phenomenological and algorithmic methods for the solution of inverse problems of electromagnetic testing, Rus. J. Nondestr. Test., 2006, vol. 42, no. 6, pp. 353–362.

    Article  Google Scholar 

  2. Pechenkov, A.N. and Shcherbinin, V.E., Software for solving inverse magnetostatic problem with a view to calculating flaw parameters, Rus. J. Nondestr. Test., 2001, vol. 37, no. 6, pp. 422–425.

    Article  Google Scholar 

  3. Han, W. and Que, P., 2D defect reconstruction from MFL signals by a genetic optimization algorithm, Rus. J. Nondestr. Test., 2005, vol. 41, no. 12, pp. 809–814.

    Article  Google Scholar 

  4. Krotov, L.N., Reconstruction of a media boundary based on the spatial distribution of stray magnetic fields. II. Definition and method of solving the inverse geometric problem of magnetostatics, Rus. J. Nondestr. Test., 2004, vol. 40, no. 6, pp. 385–390.

    Article  Google Scholar 

  5. Pechenkov, A.N., A mathematical algorithm for solving the inverse problem of magnetostatic flaw detection, Rus. J. Nondestr. Test., 2005, vol. 41, no. 11, pp. 714–718.

    Article  Google Scholar 

  6. Pechenkov, A.N. and Shcherbinin, V.E., On the solution of the inverse problem of magnetostatic tomography, Rus. J. Nondestr. Test., 2009, vol. 45, no. 3, pp. 176–190.

    Article  Google Scholar 

  7. Calvano, F., Electromagnetic non-destructive evaluation and inverse problems, Ph.D Thesis, Naples: Univ. Naples Federico II, 2010.

    Google Scholar 

  8. Han, W. and Que, P., An improved genetic local search algorithm for defect reconstruction from MFL signals, Rus. J. Nondestr. Test., 2005, vol. 41, no. 12, pp. 815–821.

    Article  Google Scholar 

  9. Huang, H., Takagi, T., and Ushimoto, T., Crack shape reconstruction in ferromagnetic materials using a novel fast numerical simulation method, IEEE Trans. Magn., 2004, vol. 40, no. 2, pp. 1374–1377.

    Article  Google Scholar 

  10. Chen, Z., Preda, G., Mihalache, O., and Miya, K., Reconstruction of crack shapes from the MFLT signals by using a rapid forward solver and an optimization approach, IEEE Trans. Magn., 2002, vol. 38, no. 2, pp. 1025–1028.

    Article  Google Scholar 

  11. Li, Y., Udpa, L., and Udpa, S.S., Three-dimensional defect reconstruction from eddy-current NDE signals using a genetic local search algorithm, IEEE Trans. Magn., 2004, vol. 40, no. 2, pp. 410–417.

    Article  Google Scholar 

  12. Korovkin, N.V., Chechurin, V.L., and Hayakawa, M., Inverse Problems in Electric Circuits and Electromagnetics, New York: Springer, 2007.

    Google Scholar 

  13. Galchenko, V.Ya., Yakimov, A.N., and Ostapushchenko, D.L., Solution of the inverse problem of creating a uniform magnetic field in coercimeters with partially closed magnetic systems, Rus. J. Nondestr. Test., 2011, vol. 47, no. 5, pp. 295–307.

    Article  Google Scholar 

  14. Halchenko, V.Ya., Ostapushchenko, D.L., and Vorobyov, M.A., Mathematical simulation of magnetization processes of arbitrarily shaped ferromagnetic test objects in fields of given spatial configurations, Rus. J. Nondestr. Test., 2008, vol. 44, no. 9, pp. 589–600.

    Article  Google Scholar 

  15. Galchenko, V.Ya., Ostapushchenko, D.L., and Vorobyov, M.A., Computer analysis of the configuration of the magnetic fields of surface discontinuity flaws of finite dimensions in a ferromagnetic plate of finite dimensions by the spatial integral equation method, Rus. J. Nondestr. Test., 2009, vol. 45, no. 3, pp. 191–198.

    Article  Google Scholar 

  16. Galchenko, V.Ya., Ostapushchenko, D.L., and Vorobyov, M.A., Computer analysis of the configurations of magnetic fields of subsurface discontinuities of finite dimensions and arbitrary shapes in test objects of finite length by the method of spatial integral equations, Rus. J. Nondestr. Test., 2009, vol. 45, no. 5, pp. 337–346.

    Article  Google Scholar 

  17. Gal’chenko, V.Ya., Ostapushchenko, D.L., and Vorob’ev, M.A., Numerical simulation of the circular and pole magnetization of straight-seam electric-welded pipes during their magnetic nondestructive testing, Kontrol’. Diagnostika, 2009, no. 11, pp. 18–27.

    Google Scholar 

  18. Gal’chenko, V.Ya. and Vorob’ev, M.A., Structural synthesis of attachable eddy-current probes with a given distribution of the probing field in the test zone, Rus. J. Nondestr. Test., 2005, vol. 41, no. 1, pp. 29–33.

    Article  Google Scholar 

  19. Li, M. and Lowther, D.A., The application of topological gradients to defect identification in magnetic flux leakage-type NDT, IEEE Trans. Magn., 2010, vol. 46, no. 8, pp. 3221–3224.

    Article  Google Scholar 

  20. Gal’chenko, V.Ya. and Ostapushchenko, D.L., Numerical analysis of the spatial configuration of magnetic fields from objects with complex shapes with allowance for nonlinear material characteristics, Inform. Tekhnol., 2008, no. 8, pp. 43–49.

    Google Scholar 

  21. Gal’chenko, V.Ya., Yakimov, A.N., and Ostapushchenko, D.L., Multi-criteria synthesis of axially symmetric magnetic systems with ferromagnetic elements and a specified magnetic field configuration, Elektrichestvo, 2012, no. 4, pp. 40–54.

    Google Scholar 

  22. Gal’chenko, V.Ya., Yakimov, A.N., and Ostapushchenko, D.L., Pareto-optimal parametric synthesis of axisymmetric magnetic systems with allowance for nonlinear properties of the ferromagnet, Tech. Phys., 2012, vol. 57, no. 7, pp. 893–899.

    Article  Google Scholar 

  23. Gal’chenko, V.Ya., Yakimov, A.N., and Ostapushchenko, D.L., Search for a global optimum of functions using the hybrid of multi-agent swarm optimization with the evolutionary formation of a population composition, Inform. Tekhnol., 2010, no. 10, pp. 9–16.

    Google Scholar 

  24. Hopcroft, J.E., Motwani, R., and Ullman, J.D., Introduction to Automata Theory, Languages, and Computation, Boston: Addison-Wesley, 2000.

    Google Scholar 

  25. Rastrigin, L.A., Adaptatsiya slozhnykh system: metody i prilozheniya (Adaptation of Complex Systems: Methods and Applications), Riga: Zinatne, 1981.

    Google Scholar 

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Authors and Affiliations

  1. Lugansk State Medical University, kvartal Pyatidesyatiletiya Oborony Luganska 1, Lugansk, 91045, Ukraine

    V. Ya. Galchenko & A. N. Yakimov

Authors
  1. V. Ya. Galchenko
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  2. A. N. Yakimov
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Correspondence to V. Ya. Galchenko.

Additional information

Original Russian Text © V.Ya. Galchenko, A.N. Yakimov, 2014, published in Defektoskopiya, 2014, Vol. 50, No. 2, pp. 10–24.

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Galchenko, V.Y., Yakimov, A.N. A turmitobionic method for the solution of magnetic defectometry problems in structural-parametric optimization formulation. Russ J Nondestruct Test 50, 59–71 (2014). https://doi.org/10.1134/S106183091402003X

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  • DOI: https://doi.org/10.1134/S106183091402003X

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