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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email:

Application of the Generalized Mean Value Function for Detection of Defects in Metal Cylindrical Slugs

Journal of Applied Nonlinear Dynamics 5(1) (2016) 33--41 | DOI:10.5890/JAND.2016.03.002

Raoul R. Nigmatullin$^{1}$,$^{3}$, Sergey I. Osokin$^{1}$, Victor M. Larionov$^{1}$, Yuriy V. Vankov$^{2}$, Evgeniya V. Izmajlova$^{2}$, Wei Zhang$^{4}$

$^{1}$ Kazan (Volga region) Federal University, Institute of Physics, Kremlevskaya str., bld. 18, 420008, Kazan, Ta-tarstan, Russian Federation

$^{2}$ Kazan State Power Engineering University, Krasnoselskaya str., bld. 51, 420066, Kazan, Tatarstan, Russian Federation

$^{3}$ Kazan National Research Technical University (KNRTU-KAI), 10 Karl Marx street, 420011, Kazan, Tatarstan, Russian Federation

$^{4}$ Department of Electronic Engineering, School of Information Science and Technology, JiNan University, Guang-zhou, 510632, China

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In this paper we present a free-oscillation method for acoustic detection of defects in metal rods. For detection of normal rods from rods with defects we use a treatment procedure based on the statistics of the fractional moments. This procedure allows to extract the quanti-tative information from the acoustic signals that are propagated in cylindrical slugs after mechanical strike and having different defects. This information allows separating normal rods (without defects) from the rods having different cuts and differentiating the saw-cut defects with different depth from each other. The analysis of data obtained from this research shows that the proposed method of the fractional moments can be applied for quantitative "reading" of envelopes of different acoustic signals that are obtained by means of free-oscillation method and propagated in dense medium having local defects.


The work is performed according to the Russian Government Program of Competitive Growth of Kazan Federal University.


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