 | | 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
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| In English (Mech. Solids): | | 4810 |
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| D. A. Sukhoruchkin, "On the precession of a standing wave in a string with fixed ends," Mech. Solids. 42 (1), 12-18 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
1 |
Pages |
12-18 |
| Title |
On the precession of a standing wave in a string with fixed ends |
| Author(s) |
D. A. Sukhoruchkin (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, sukhor@ipmnet.ru) |
| Abstract |
Nonlinear differential equations of motion of a string are derived. In the single-mode approximation, the evolution of a transverse standing wave is studied. The dependence of the precession velocity and the correction to the vibration frequency on the semiaxes of the ellipse along which the string midpoint moves is determined. |
| References |
| 1. | W. H. Quick,
"Theory of Vibrating Strings as an Angular Motion Sensor,"
Trans. ASME. Ser. E. J. Appl. Mech.
31 (3), 523-534 (1964). |
| 2. | D. A. Sukhoruchkin,
"On the String Implementation of a Generalized Foucault Pendulum,"
in Mechanics of Solids
(In-t Prikl. Mat. Mech. Nat. Acad. Sci. Ukraine, Donetsk, 2000),
No. 30, pp. 125-131. |
| 3. | V. Ph. Zhuravlev,
"A Controlled Foucault Pendulum as a Model of a Class of Free Gyros,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 27-35 (1997)
[Mech. Solids (Engl. Transl.)]. |
| 4. | V. Ph. Zhuravlev and D. M. Klimov,
Wave Solid-State Gyro
(Nauka, Moscow, 1985) [in Russian]. |
| 5. | A. N. Tikhonov and A. A. Samarskii,
Equations of Mathematical Physics
(Nauka, Moscow, 1977) [in Russian]. |
| 6. | L. I. Sedov,
Continuum Mechanics. Vol. 1
(Nauka, Moscow, 1994) [in Russian]. |
| 7. | L. D. Akulenko, S. V. Nesterov, "Nonlinear Vibration of a String,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 87-92 (1993)
[Mech. Solids (Engl. Transl.)]. |
|
| Received |
02 July 2004 |
| Link to Fulltext |
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