 | | 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 |
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| Yu. A. Dem'yanov, E. G. Dem'yanova, and S. S. Lobanova, "Propagation of longitudinal-transverse waves in a stretched string impacted by a body of an arbitrary shape," Mech. Solids. 38 (2), 19-30 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
19-30 |
| Title |
Propagation of longitudinal-transverse waves in a stretched string impacted by a body of an arbitrary shape |
| Author(s) |
Yu. A. Dem'yanov (Moscow)
E. G. Dem'yanova (Moscow)
S. S. Lobanova (Moscow) |
| Abstract |
Processes of propagation of transverse and longitudinal waves
in stretched strings impacted by bodies of arbitrary shapes are
investigated. Within the framework of statements of [1, 2],
the interaction of the string with wedge-shaped, flat-faced,
rounded, and rounded flat-faced bodies is considered. (Flat-faced and rounded
flat-faced shapes describe, for example, the profile of piano
hammers.) Solutions for problems
in which there exist regions where the string separates from the body
are presented for the first time.
This separation occurs when the velocity of the transverse wave
exceeds the velocity of the last point of contact of the string
with the body or when the acceleration of the body is negative. |
| References |
| 1. | Yu. A. Dem'yanov, "To the improvement of the theory
of vibration of musical strings,"
Doklady AN, Vol. 369, No. 4, pp. 461-465, 1999. |
| 2. | Yu. A. Dem'yanov, "Statement of the problem of the interaction
of a string with an exciter of its vibrations,"
Doklady AN, Vol. 372, No. 6, pp. 743-748, 2000. |
| 3. | Kh. A. Rakhmatulin, "On high-speed oblique impact
against a flexible thread in the presence of friction,"
PMM [Applied Mathematics and Mechanics],
Vol. 9, No. 6, pp. 449-462, 1945. |
| 4. | Kh. A. Rakhmatulin and Yu. A. Dem'yanov,
Strength under Intensive Short-term Loading [in Russian],
Fizmatgiz, Moscow, 1961. |
| 5. | Kh. A. Rakhmatulin, "Transverse impact of a flexible
thread with a body of a prescribed shape,"
PMM [Applied Mathematics and Mechanics],
Vol. 16, No. 1, pp. 23-34, 1952. |
| 6. | Yu. A. Dem'yanov, "An asymptotic method
for solving problems of wave propagation in a thread,"
PMM [Applied Mathematics and Mechanics],
Vol. 57, No. 4, pp. 146-149, 1993. |
| 7. | A. N. Tikhonov and A. A. Samarskii,
Equations of Mathematical Physics [in Russian],
Nauka. Moscow, 1977. |
|
| Received |
24 January 2001 |
| << Previous article | Volume 38, Issue 2 / 2003 | Next article >> |
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