Abstract
A technique is proposed for measuring the speed of longitudinal ultrasonic waves in a homogeneous welded joint, based on comparing measured and computed echo signals reflected from the bottom of a test object when using two antenna arrays mounted on prisms and operating in the double scanning mode. The effect of errors in setting the values of such parameters as the distance between the antenna arrays, test-object thickness, and others on the accuracy of calculating the wave velocity in the weld has been analyzed. Results of numerical and model experiments on calculating the wave velocity in the welded joint are presented. In a model experiment, the technique has made it possible to measure the speed of longitudinal waves in the weld model with an error of less than 0.7%. The method can be used to find the initial approximation in a nonlinear inverse problem of tomographic inspection of welded joints in the wave approximation.
Similar content being viewed by others
References
Voronkov, V.A., Voronkov, I.V., Kozlov, V.N., Samokrutov, A.A., and Shevaldykin, V.G., On the applicability of antenna array technology to solving the problems of ultrasonic testing of hazardous industrial objects, V Mire Nerazrushayushchego Kontrolya, 2011, no. 1 (51), pp. 64–70.
Bazulin, E.G. and Ismailov, G.M., Simultaneous measurement of the velocity of an ultrasonic shear wave and the thickness of a test object with plane-parallel boundaries using two antenna arrays, Russ. J. Nondestr. Test., 2013, vol. 49, no. 8, pp. 446–457
Burov, V.A., Sergeev, S.N., and Shurup, A.S., The significance of the choice of basis functions in the problems of acoustic tomography of the ocean, Acoust. Phys., 2007, vol. 53, no. 6, pp. 698–713
Goncharsky, A.V. and Romanov, S.Y., Iterative methods for solving coefficient inverse problems of wave tomography in models with attenuation, Inverse Probl., 2017, vol. 33, no. 2, p. 025003. URL: https://doi.org/10.1088
Goncharsky, A.V., Romanov, S.Y., and Seryozhnikov, S.Y., Inverse problems of 3d ultrasonic tomography with complete and incomplete range data, Wave Motion, 2014, vol. 51, pp. 389–404 URL: https://doi.org/10.1016/j.wavemoti.2013.10.001
Goncharskii, A.V., Romanov, S.Yu., and Serezhnikov, S.Yu., Superkomp’yuternye tekhnologii v zadachakh proektirovaniya tomograficheskikh diagnosticheskikh kompleksov. Seriya “Superkomp’yuternoe obrazovanie” (Supercomputer Technologies in Development of Diagnostic Tomography Facilities. “Supercomputer Education” Series), St. Petersburg: St. Petersburg Polytech. Univ., 2016.
Matthews, J.H. and Fink, K.K., Numerical Methods Using Matlab, Pearson, 2004, 4th Ed.
http://www.extende.com/ Cited October 24, 2016.
Brekhovskikh, L.M. and Godin, O.A., Akustika sloistykh sred (Acoustics of Layered Media), Moscow: Nauka, 1989.
Schmerr, L.W., Fundamentals of Ultrasonic Nondestructive Evaluation. A Modeling Approach, Springer, 2016, 2nd Ed.
Born, M. and Wolf, E., Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, Cambridge Univ. Press, 1999, 7th Ed.
Kravtsev, Yu.A. and Orlov, Yu.I., Geometricheskaya optika neodnorodnykh sred (Geometrical Optics of Inhomogeneous Media), Moscow: Nauka, 1980.
Bazulin, E.G., Allowing for inhomogeneous anisotropy of a welded joint when reconstructing reflector images from echo signals received by an ultrasonic antenna array, Russ. J. Nondestr. Test., 2017, no. 1, pp. 9–22.
Cervený, V., Seismic Ray Theory, New York: Cambridge Univ. Press, 2001.
Babich, V.M. and Kiselev, A.P., Uprugie volny. Vysokochastotnaya teoriya (Elastic Waves. The High-Frequency Theory), St. Petersburg: BKhV-Peterburg, 2014.
Bazulin, E.G., The calibration of an ultrasonic antenna array installed on a wedge, Russ. J. Nondestr. Test., 2014, vol. 50, no. 4, pp. 227–238
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.G. Bazulin, M.S. Sadykov, 2018, published in Defektoskopiya, 2018, No. 5, pp. 3–15.
Rights and permissions
About this article
Cite this article
Bazulin, E.G., Sadykov, M.S. Determining the Speed of Longitudinal Waves in an Isotropic Homogeneous Welded Joint Using Echo Signals Measured by Two Antenna Arrays. Russ J Nondestruct Test 54, 303–315 (2018). https://doi.org/10.1134/S1061830918050029
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1061830918050029