 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 55, Issue 4 / 2020 | Next article >> |
| I.M. Lebedev and E.I. Shifrin, "Identification of Transverse Cracks in a Rod Using Eigenfrequencies of Transverse Vibrations," Mech. Solids. 55 (4), 496-513 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
4 |
Pages |
496-513 |
| DOI |
10.3103/S002565442004007X |
| Title |
Identification of Transverse Cracks in a Rod Using Eigenfrequencies of Transverse Vibrations |
| Author(s) |
I.M. Lebedev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia)
E.I. Shifrin (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, shifrin@ipmnet.ru) |
| Abstract |
A problem on identification of multiple cracks in a rod by means of eigenfrequencies of transverse vibrations is considered. The cracks are modeled by weightless rotational springs. It has been proven that cracks can be uniquely identified using three spectra corresponding to three different types of boundary conditions. A numerical method for assessing fracture caused by cracks has been developed. The method is based on minimizing the objective function obtained by taking into account three spectra. Theoretically, fracture reconstruction is possible using several different spectra triplets. In the article, by means of various examples and using the developed numerical method, a comparative performance analysis of using various theoretically acceptable triplets of spectra is carried out. |
| Keywords |
transverse vibrations of a rod, multiple cracks, inverse spectral problem, numerical identification algorithm |
| Received |
05 February 2020 | Revised |
23 February 2020 | Accepted |
25 March 2020 |
| Link to Fulltext |
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