Abstract
The direct and inverse problems of the longitudinal vibrations of a cylindrical rod with a flaw in the form of a cavity with a small characteristic size are considered. An approach to the determination of the location and volume of a small cavity of an arbitrary shape, which is based on the representation of the cavity by a negative mass, is proposed. The results of numerical experiments and their analysis are presented.
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Original Russian Text © A.M. Akhtyamov, E.I. Satyev, 2012, published in Defektoskopiya, 2012, Vol. 48, No. 5, pp. 78–83.
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Akhtyamov, A.M., Satyev, E.I. Determination of the position and volume of a cavity in an elastic rod from its two vibration eigenfrequencies. Russ J Nondestruct Test 48, 319–322 (2012). https://doi.org/10.1134/S1061830912050026
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DOI: https://doi.org/10.1134/S1061830912050026