 | | 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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| E. I. Borshch, E. V. Vashchilina, and V. I. Gulyaev, "Helical traveling waves in elastic rods," Mech. Solids. 44 (2), 288-293 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
2 |
Pages |
288-293 |
| DOI |
10.3103/S0025654409020149 |
| Title |
Helical traveling waves in elastic rods |
| Author(s) |
E. I. Borshch (National Transport University, Suvorova 1, Kiev, 01010, Ukraine)
E. V. Vashchilina (National Transport University, Suvorova 1, Kiev, 01010, Ukraine)
V. I. Gulyaev (National Transport University, Suvorova 1, Kiev, 01010, Ukraine, valery@gulyayev.com.ua) |
| Abstract |
We pose the problem on free harmonic bending vibrations of an infinite rotating tubular elastic rod with an internal fluid flow, prestressed by a torque and a longitudinal force. We show that these vibrations can only be realized as traveling circular helical waves. It is shown that, for any wavelength, there exist four waves, two having the form of a left-handed helix and the other two having the form of a right-handed helix. Each of these waves propagates in the positive and negative directions of the longitudinal rod axis at different velocities. These phenomena can manifest themselves in deep-hole drill columns. |
| References |
| 1. | F. S. Krauford, Waves (McGraw-Hill, New York, 1968; Nauka, Moscow, 1976). |
| 2. | M. K. Rabinovich and D. I. Trubetskov, Introduction to the Theory of Vibrations and Waves (Nauka, Moscow, 1984) [in Russian]. |
| 3. | V. I. Feodos’ev, Selected Problems and Questions in Strength of Materials (Nauka, Moscow, 1967) [in Russian]. |
| 4. | H. Ziegler, Principles of Structural Stability (Blaisdell Publishing Company, Waltham, MA, 1968; Mir, Moscow, 1971). |
| 5. | V. I. Gulyaev, V. V. Gaidaichuk, and V. L. Koshkin, Elastic Strain, Stability, and Vibrations of Flexible Curvilinear Rods (Naukova Dumka, Moscow, 1992) [in Russian]. |
| 6. | D. R. Merkin, Introduction to Theory of Stability of Motion (Nauka, Moscow, 1976) [in Russian]. |
|
| Received |
23 March 2006 |
| Link to Fulltext |
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