 | | 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
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 46, Issue 4 / 2011 | Next article >> |
| M.A. Il'gamov and A.G. Khakimov, "Reflection of a Decaying Traveling Wave from a Notch in a Bar," Mech. Solids. 46 (4), 589-596 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
4 |
Pages |
589-596 |
| DOI |
10.3103/S0025654411040091 |
| Title |
Reflection of a Decaying Traveling Wave from a Notch in a Bar |
| Author(s) |
M.A. Il'gamov (Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, pr-t Oktyabrya 71, Ufa, Bashkortostan, 450054 Russia)
A.G. Khakimov (Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, pr-t Oktyabrya 71, Ufa, Bashkortostan, 450054 Russia, hakimov@anrb.ru) |
| Abstract |
We study the reflection from a transverse notch and the propagation of a longitudinal decaying traveling wave in a bar by using the simplest model of the stress-strain state in the notch region and obtain the solution dependence on the notch parameters. The solution of the inverse problem permits determining the notch coordinate and the parameter determining its depth and length from the data describing the incident and reflected waves at the observation site. |
| Keywords |
bar, longitudinal wave, decay, direct and inverse problems |
| References |
| 1. | B. V. Sidorov and S. A. Martynov,
"Recommended Technology of Diagnostics of Buried Pipelines,"
Kontrol'. Diagnostika,
No. 12, 18-19 (2005), |
| 2. | Yu. V. Van'kov, R. B. Kazakov, and E. R. Yakovleva,
"Natural Frequencies as Diagnostic Criteria for Flaw Detection,"
Electronic J. "Technical Acoustics,"
http://ejta.org, 2003, 5. |
| 3. | M. A. Il'gamov,
"Diagnostics of Damage of a Vertical Rod,"
Trudy Inst. Mekh. UNTs RAN,
No. 5, 201-211 (2007). |
| 4. | G. Biscontin, A. Morassi, and P. Wendel,
"Asymptotic Separation of Spectrum in Notched Rods,"
J. Vib. Contr.
4 (3), 237-251 (1998). |
| 5. | G. M. L. Gladwell,
Inverse Problems in Vibration
(Kluwer, Dordrecht, 2004; NITs "Regular. Khaotich. Din.," Moscow-Izhevsk, 2008). |
| 6. | T. Pritz,
"Apparent Complex Young's Modulus of a Longitudinally Vibrating Viscoelastic Rod,"
J. Sound Vibr.
77 (1), 93-100 (1981). |
| 7. | D. Benatar, D. Rittel, and A. L. Yarin,
"Theoretical and Experimental Analysis of Longitudinal Wave Propagation in Cylindrical Viscoelastic Rods,"
J. Mech. Phys. Solids
51 (8), 1413-1431 (2003). |
| 8. | S. L. Lopatnikov, B. A. Gama, K. Krauthouser, and G. Gillespie,
"Applicability of the Classical Analysis of Experiments with Split Hopkins Pressure Bar,"
Pis'ma Zh. Techn. Fiz.
30 (3), 39-46 (2004)
[Tech. Phys. Lett. (Engl. Transl.)
30 (2), 102-105 (2004)]. |
| 9. | H. Kolsky,
"An Investigation of Mechanical Properties of Materials at Very High Rates of Loading,"
Proc. Phys. Soc. London. Ser. B
62 (359), 676-700 (1949). |
| 10. | V. V. Meleshko, A. A. Bondarenko, S. A. Dovgii, et al.,
"Elastic Waveguides: History and the Present,"
Mat. Metody Fiz.-Mekh. Polya
51 (2), 86-104 (2008). |
| 11. | A. O. Vatul'yan,
Inverse Problems in Mechanics of a Deformable Solid
(Fizmatlit, Moscow, 2007)
[in Russian]. |
| 12. | A. O. Vatul'yan and N. O. Soluyanov,
"Determining the Location and Dimensions of a Cavity in an Elastic Rod ,"
Defectoskop.
41 (9), 44-56 (2005)
[Russ. J. Nondestruct. Test. (Engl. Transl.)
41 (9), 586-593 (2005)]. |
|
| Received |
27 April 2009 |
| Link to Fulltext |
|
| << Previous article | Volume 46, Issue 4 / 2011 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English