 | | 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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| V. I. Erofeev and N. V. Klyueva, "Propagation of Nonlinear Torsional Waves in a Beam Made of a Different-Modulus Material," Mech. Solids. 38 (5), 122-126 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
5 |
Pages |
122-126 |
| Title |
Propagation of Nonlinear Torsional Waves in a Beam Made of a Different-Modulus Material |
| Author(s) |
V. I. Erofeev (Nizhni Novgorod)
N. V. Klyueva (Nizhni Novgorod) |
| Abstract |
The influence of different-modulus property of a material on the propagation of torsional waves in a beam is studied, with warping being taken into account. In contrast to common structural elastic materials exhibiting weak nonlinearity in the working stress range, different-modulus materials demonstrate strong nonlinearity even for relatively small strains. These materials are interesting in connection with the investigation of nonlinear waves in elastic media, in particular, of such curious wave objects as solitons. It seems that actual observation of solitons is only possible in strongly nonlinear media.
The different-modulus property leads to quadratic nonlinearity of torsional waves. For nonlinear steady-state strain waves (periodic ones and solitons) we obtain relations between the basic parameters of such waves (amplitude, wave-length, wave propagation speed, and the coefficient of nonlinear distortion of the wave shape). It is shown that together with the classical behavior of solitons, with a wave of a larger amplitude having smaller width and propagating with a higher speed, anomalous behavior of solitons can be observed. |
| References |
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| 4. | E. V. Lomakin and Yu. N. Rabotnov,
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| 8. | V. A. Gasilov, M. V. Golovin, V. P. Myasnikov, and A. Kh. Pergament,
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| 11. | E. V. Lomakin and M. P. Kazantsev,
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| 12. | E. V. Lomakin, "Torsion of beams made of materials with elastic properties depending on the structure of the stress state," Izv. AN. MTT
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| 13. | V. I. Erofeev, N. V. Klyueva, S. A. Monichev, and N. P. Semerikova,
"Effect of different-modulus property of the material and warping on torsional wave propagation in a beam," in Testing Materials and Structures.
Collection of articles [in Russian], pp. 117-136, Intelservis, NF IMASh RAN,
Nizhni Novgorod, 2000. |
| 14. | V. I. Erofeev and S. A. Monichev,
"Longitudinal and torsional vibrations of beams made of different-modulus materials," Problemy Mashinostr. i Nadezhn., No. 1, pp. 3-7, 1999. |
| 15. | V. I. Erofeev, V. V. Kazhaev, N. P. Semerikova,
Waves in Beams: Dispersion, Dissipation, and Nonlinearity [in Russian],
Fizmatlit, Moscow, 2002. |
|
| Received |
24 April 2001 |
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