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Overview of Local Rod Defect Detection Studies

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Abstract

This article gives a review of three approaches to solving the problems of detecting local rod and pipeline defects and related problems. In the first approach, local defects are modeled by the matching conditions; in the second approach, by delta functions entering into the differential equation; and in the third approach, longitudinal cavities and cracks are modeled by continuous rod sections with modified stiffness, cross-sectional area, and density. This two-part review describes the works devoted to the detection of defects in distributed mechanical systems using natural frequencies, as well as using transmitted and reflected waves. The second part of the review is devoted to works that use the second and third approaches, i.e., defect modeling by delta functions and continuous rod sections with modified stiffness, cross-sectional area, and density.

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Funding

This work was carried out using state budget funds for the state assignment for 2019–2022, project no. 0246-2019-0088, and was supported by the Russian Foundation for Basic Research, project nos. 18-51-06002-Az_a and 18-01-00250-a.

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Authors and Affiliations

  1. Mavlyutov Institute of Mechanics, 450054, Ufa, Russia

    A. M. Akhtyamov & M. A. Il’gamov

  2. Bashkir State University, 450076, Ufa, Russia

    A. M. Akhtyamov & M. A. Il’gamov

  3. Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, 101990, Moscow, Russia

    M. A. Il’gamov

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  1. A. M. Akhtyamov
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  2. M. A. Il’gamov
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Correspondence to A. M. Akhtyamov.

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Translated by A. Kolemesin

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Akhtyamov, A.M., Il’gamov, M.A. Overview of Local Rod Defect Detection Studies. J. Mach. Manuf. Reliab. 49, 87–97 (2020). https://doi.org/10.3103/S1052618820020041

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  • DOI: https://doi.org/10.3103/S1052618820020041

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