 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| M.A. Il'gamov, "Longitudinal Vibrations of a Bar with Incipient Transverse Cracks," Mech. Solids. 52 (1), 18-24 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
1 |
Pages |
18-24 |
| DOI |
10.3103/S0025654417010034 |
| Title |
Longitudinal Vibrations of a Bar with Incipient Transverse Cracks |
| Author(s) |
M.A. Il'gamov (Institute of Mechanics of the Ufa Scientific Center, Russian Academy of Sciences, pr. Oktyabrya 71, Ufa, 450054 Russia, ilgamov@anrb.ru) |
| Abstract |
The simplest model of longitudinal vibrations of a bar with incipient transverse cracks is considered under the essential assumption that the crack size is small compared with the bar cross-section area and the difference between the mode shapes of the bar with incipient cracks and the undamaged bar is small. The different manifestation of cracks in the phases of extension and compression strains is taken into account. The natural vibration frequencies and the crack coordinates and dimensions are determined from experimental values of natural frequencies. |
| Keywords |
bar, transverse crack, longitudinal vibrations, vibration frequency and period, crack diagnostics |
| References |
| 1. | A. D. Dimaroganas, "Vibration of Cracked Structures: A State of the Art Review," Engng Fract. Mech. 55 (5), 831-857 (1996). |
| 2. | G. M. L. Gladwell,
Inverse Problems in Vibration
(Kluver, Dordrecht-Boston-London, 2004; NITs "Regular. Khaotich. Din.," Moscow-Izhevsk, 2008). |
| 3. | A. P. Bovsunovskii and O. A. Bovsunovskii,
"Application of Nonlinear Resonances for the Diagnostics of Closing Cracks in Rodlike Elements,"
Probl. Prochn.,
No. 3, 125-141 (2010)
[Strength of Materials (Engl. Transl.)
42 (3), 331-343 (2010)]. |
| 4. | F. Ya. Balitskii, N. A. Ivanova, A. G. Sokolova, and E. I. Khomyakov,
Vibro-Acoustic Diagostics of Incipient Defects
(Nauka, Moscow, 1984)
[in Russian]. |
| 5. | T. G. Chondros, A. D. Dimaroganas, and J. Yao,
"A Consistent Cracked Bar Vibration Theory,"
J. Sound Vibr.
200 (3), 303-313 (1997). |
| 6. | T. G. Chondros, A. D. Dimaroganas, and J. Yao,
"Longitudinal Vibration of a Bar with a Breathing Crack,"
Engng Fract. Mech.
61 (5-6), 503-518 (1998). |
| 7. | T. G. Chondros, A. D. Dimaroganas, and J. Yao,
"Longitudinal Vibration of a Continuous Cracked Bar,"
Engng Fract. Mech.
61 (5-6), 593-606 (1998). |
| 8. | M. A. Ilgamov,
"Diagnostics of Damage of a Vertical Rod,"
Trudy Inst. Mekh. UNTs RAN,
No. 5, 201-211 (2007). |
| 9. | M. A. Ilgamov and A. G. Khakimov,
"Reflection of Longitudinal Running Wave in Rod with Damages,"
Kontrol. Diagnost.,
No. 7, 43-48 (2009). |
| 10. | M. A. Ilgamov and A. G. Khakimov,
"Reflection of a Longitudinal Wave from a Notch in the Rod Immersed into a Viscous Fluid,"
Vych. Mekh. Sploshn. Sred
3 (3), 58-67 (2010). |
| 11. | M. A. Il'gamov and A. G. Khakimov,
"Reflection of a Decaying Traveling Wave from a Notch in a Bar,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 116-125 (2011)
[Mech. Solids (Engl. Transl.)
46 (4), 589-596 (2011)]. |
| 12. | M. A. Il'gamov,
"Models of Longitudinal Dynamics of the Rod with the Local Inhomogeneity,"
Izv. UNTs RAN,
No. 3, 5-9 (2012). |
| 13. | A. G. Khakimov,
"Vibrodiagnostics of a Damaged Bar,"
in Mechanics of Composite Materials and Structures
(Moscow, 2012),
pp. 116-131
[in Russian]. |
| 14. | B. H. Lidington and M. G. Silk,
"Crack Depth Measurements Using a Single Surface Wave Probe,"
British J. NDT,
No. 17, 165-167 (1975). |
| 15. | I. A. Viktorov,
Sound Surface Waves in Solids
(Nauka, Moscow, 1981)
[in Russian]. |
| 16. | V. N. Danilov and V. S. Yamshchikov,
"To the Problem of Surface Rayleigh Wave Reflection from Boundary Defects,"
Akust. Zh., No. 3, 323-327 (1985). |
| 17. | G. Ya. Dymkin and A. N. Maksimov,
"Study of Rayleigh Wave Reflection from Subsurface Defects,"
Defektoskopiya,
No. 3, 93-95 (1988)
[Soviet J. Nondestruct. Testing (Engl. Transl.)]. |
| 18. | V. M. Ushakov, D. M. Davydov, and L. I. Damozhirov,
"Studying the Growth Kinetics of Fatigue Cracks Using the Method of Ultrasonic Rayleigh Waves,"
Defektoskopiya,
No. 6, 3-10 (2012)
[Russ. J. Nondestruct. Testing (Engl. Transl.)
48 (6), 323-329 (2012)]. |
|
| Received |
25 March 2014 |
| Link to Fulltext |
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