Журнал Российского общества по неразрушающему контролю и технической диагностике
The journal of the Russian society for non-destructive testing and technical diagnostic
 
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18 | 11 | 2024
2014, 04 April

DOI: 10.14489/td.2014.04.pp.058-063 

Akhtiamov A.M., Galeeva D.R.
INVESTIGATION OF THE DIRECT AND INVERSE PROBLEM OF THE VIBRATIONS OF AN HETEROGENEOUS ROD CONSISTING OF TWO DIFFERENT SEGMENTS
(pp. 58-63)

Abstract. This paper examines the problem of finding the boundary between two different segments of the rod on the natural frequencies of its free longitudinal vibrations. Analyzed the influence of the material properties of the rod on its natural frequencies. Some examples are also presented.

Keywords: vibrodiagnostics, heterogeneous rod, natural frequencies, modulus of elasticity, the wave velocity.

 

A. M. Akhtyamov
Institute of Mechanics of Ufa Branch, RAS, Ufa, Russia. E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра. ,

D. R. Galeeva 
Bashkir State University, Ufa, Russia

 

 

1. Il'gamov M. A., Khakimov A. G. (2012). Reflection of longitudinal waves from the air cavities in the pipe-line. Izvestiia Ufimskogo nauchnogo tsentra RAN, (4), pp. 15-21.
2. Freund L. B., Herrmann G. (1976). Dynamic frac-ture of a beam or plate in plane bending. Journal of applied mechanics, 76, pp. 112-116.
3. Cabib E., Freddi L., Morassi A., Percivale D. (2001). Thin notched beams. Journal of elasticity, 64, pp. 157-178. doi: 10.1023/A:1015210302849
4. Adams R. D., Cawley P., Pye C.J., Stone B. J. (1978). A vibration technique for non-destructively assessing the integrity of structures. Journal of mechanical engineering and science, 20, pp. 93-100.
5. Akhtiamov A. M., Satyev E. I. (2012). The location and volume of the cavity in elastic rod on two eigenfrequencies of its oscillations. Defektoskopiia, (5), pp. 78-83.
6. Akhmetvalieva E. N., Akhtiamov A. M. (2012). Di-agnosis cross-incision vertical rods. Kontrol'. Diagnostika, (8), pp. 31-34.
7. Khakimov A. G. (2010). Diagnostics of damages of vertical bars on the elastic suspension. Neftegazovoe delo. Elektronnyi nauchnyi zhurnal, (1), p. 34.
8. Il'gamov M. A., Khakimov A. G. (2009). Reflection of longitudinal travelling wave in the terminal with damage. Kontrol'. Diagnostika, (7), pp. 43-48.
9. Il'in V. A. (2009). About the longitudinal oscillations of the shaft, consisting of two sections of different density and elasticity in the case of coincidence of the passage time of waves on each of these plots. Doklady akademii nauk, 429(6), pp. 742-745.
10. Pein G. (1979). Physics of oscillations and waves. Moscow: Mir.
11. Chelomei V. N., Bolotin V. V. (Ed.). (1978). Vibrations in engineering. Handbook. Volume 1. Vibrations of linear systems. (Vol. 1). Moscow: Mashinostroenie.
12. Nordling K., Osterman D. (2011). Handbook of physics for scientist and engineer. St. Petersburg: BKhV-Peterburg.

 

 

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