Журнал Российского общества по неразрушающему контролю и технической диагностике
The journal of the Russian society for non-destructive testing and technical diagnostic
 
| Русский Русский | English English |
 
Главная Archive
18 | 11 | 2024
2022, 11 November

DOI: 10.14489/td.2022.11.pp.004-010

Konovalov А. M., Kugushev V. I.
FREQUENCY PARAMETERS OF NATURAL OSCILLATIONS IN PLATE STRUCTURES TO DETECT PRESET INADMISSIBLE CRACK SIZES
(pp. 4-10)

Abstract. The method for determining the parameters of natural oscillations of an object under test is offered, which allows detecting crack sizes in structures made of plates. The use of this method is particularly relevant for monitoring large structures that takes much time if other NDT types are used. The relation between the natural oscillations parameters and crack sizes is built on the use of the mathematical model of the energy carrier of free oscillations, and on dynamic crack theory. Resultant diagrams are made for various deformation types on crack edges, to be used to determine wave length and frequency of natural oscillations in a plate against a preset inadmissible crack length, thus enabling crack detection. To ensure efficient non-destructive testing, an example of essential set of forms of natural oscillations for a plate structure is given.

Keywords: NDT, natural oscillations, free energy, geometrical interpretation, crack, plate.

А. M. Konovalov, V. I. Kugushev (Joint-stock company “CDB ME “Rubin”, St-Petersburg, Russia) E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.  

1. Ahtyamov A. M., Muftahov A. V., Yamilova L. S. (2008). Determination of the type and parameters of the fastening of the rod by the natural frequencies of its vibrations. Akusticheskiy zhurnal, Vol. 54, (2), pp. 181 – 188. [in Russian language]
2. Ahtyamov A. M., Urmancheev S. F. (2008), Determination of the parameters of a rigid body attached to one of the ends of the beam, using natural vibration frequencies. Sibirskiy zhurnal industrial'noy matematiki, Vol. 11, (4), pp. 19 – 24. [in Russian language]
3. Ahtyamov A. M. (2009). Theory of identification of boundary conditions and its applications. Moscow: Fizmatlit. [in Russian language]
4. Van'kov Yu. V., Kazakov R. B., Yakovleva E. R. (2003). Natural frequencies of the product as an informative sign of the presence of defects. Tekhnicheskaya akustika, (5), pp. 1 – 7. Available at: http://webcenter.ru/eeaa/ejta/ [in Russian language]
5. Vatul'yan A. O. (2007). Inverse problems in the mechanics of a deformable solid body. Moscow: Fizmatlit. [in Russian language]
6. Konovalov A. M., Kugushev V. I., Yakovlev A. Yu. (2019). Impedance sensor for non-destructive testing of rigid metal structures. Kontrol'. Diagnostika, Vol. 22, (1), pp. 32 – 37. [in Russian language] DOI: 10.14489/td.2019.01.pp.032-037
7. Arsent'ev A. A., Konovalov A. M., Kugushev V. I., Hudyakov S. S. (2020). Results of studies of operation of special impedance transducers on the rigid metal structures of real produced objects. Kontrol'. Diagnostika, Vol. 23, (1), pp. 44 – 49. [in Russian language] DOI: 10.14489/td.2020.01.pp.044-049
8. Konovalov A. M., Kugushev V. I. (2021). Model of mechanism of conversion of external action into natural oscillations. Kontrol'. Diagnostika, Vol. 24, (11), pp. 10 – 20. [in Russian language] DOI: 10.14489/td.2021.11.pp.010-020
9. Remizov M. Yu. (2019). Spatial problem on the passage of an elastic wave through two parallel doubly periodic arrays of cracks. Prikladnaya matematika i mekhanika, Vol. 83, (1), pp. 72 – 83. [in Russian language]
10. Parton V. Z., Boriskovskiy V. G. (1985). Dynamic fracture mechanics. Moscow: Mashinostroenie. [in Russian language]
11. Slepyan L. I. (1981). Crack mechanics. Leningrad: Sudostroenie. [in Russian language]
12. Sih G. C., Loeber J. F. (1969). Wave Propagation in an Elastic Solid with a Line of Discontinuity or Finite Crack. Quarterly of Applied Mathematics, Vol. 27, (2), pp. 193 – 213.

This article  is available in electronic format (PDF).

The cost of a single article is 500 rubles. (including VAT 20%). After you place an order within a few days, you will receive following documents to your specified e-mail: account on payment and receipt to pay in the bank.

After depositing your payment on our bank account we send you file of the article by e-mail.

To order articles please copy the article doi:

10.14489/td.2022.11.pp.004-010

and fill out the  form  

 

.

 

 
Search
Rambler's Top100 Яндекс цитирования