 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
|
| << Previous article | Volume 43, Issue 2 / 2008 | Next article >> |
| N. K. Akhmedov, "Propagation of torsional waves in a radially layered cylindrical waveguide," Mech. Solids. 43 (2), 261-268 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
2 |
Pages |
261-268 |
| DOI |
10.3103/S002565440802012X |
| Title |
Propagation of torsional waves in a radially layered cylindrical waveguide |
| Author(s) |
N. K. Akhmedov (Baku State University, Zahida Halilova 23, Baku, AZ 1000, Azerbaijan, natig_akhmedov@mail.ru) |
| Abstract |
It was shown in [1-3] that the spectrum of homogeneous solutions for layered bodies with alternating rigid and soft layers splits into the "lower" and "higher" parts. Moreover, the "lower" part is always associated with some applied theory. In [4], the method developed in [1-3] is generalized to problems of steady torsional vibrations of a radially inhomogeneous cylinder and to the dynamic case of the applied theory constructed in [2].
In the present paper, we use analytic and numerical methods to study the propagation of torsional waves in a radially layered cylindrical waveguide. |
| References |
| 1. | Yu. A. Ustinov,
"On the Structure of the Boundary Layer in Laminar Slabs,"
Dokl. Akad. Nauk SSSR
229 (2), 325-328 (1976)
[Sov. Phys. Dokl. (Engl. Transl.)
21 (2), 414-417 (1976)]. |
| 2. | N. K. Akhmedov and Yu. A. Ustinov,
"On St. Venant's Principle in
the Torsion Problem for a Laminated Cylinder,"
Prikl. Mat. Mekh.
52 (2), 264-268 (1988)
[J. Appl. Math. Mech. (Engl. Transl.)
52 (2), 207-210 (1988)]. |
| 3. | N. K. Akhmedov,
"Analysis of the Boundary Layer in the
Axisymmetric Problem of the Theory of Elasticity for a Radially
Multilayered Cylinder and the Propagation of Axisymmetric Waves,"
Prikl. Mat. Mekh.
61 (5), 863-872 (1997)
[J. Appl. Math. Mech. (Engl. Transl.)
61 (5), 833-842 (1997)]. |
| 4. | N. K. Akhmedov and Yu. A. Ustinov, "Torsional Vibrations and Waves
in a Layered Cylinder," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 2, 92-98 (1991)
[Mech. Solids (Engl. Transl.)]. |
| 5. | A. I. Lurie,
Theory of Elasticity
(Nauka, Moscow, 1970)
[in Russian]. |
| 6. | N. Dunford and J. T. Schwartz,
Linear Operators.
Part 1: General Theory
(Interscience Publishers, New York, 1958; Izd. Inostr. Lit., Moscow, 1962). |
| 7. | M. M. Vainberg and V. A. Trenogin,
Theory of Branching of Solutions of Non-Linear Equations
(Nauka, Moscow, 1969; Noordhoff, Leyden, 1974). |
| 8. | M. I. Vishik and L. A. Lyusternik,
"The Solution of Some Perturbation Problems for Matrices and
Selfadjoint or Non-Selfadjoint Differential Equations I,"
Uspekhi Mat. Nauk
15 (3), 3-80 (1960)
[Russ. Math. Surveys (Engl. Transl)
15 (3), 1-73 (1960)]. |
| 9. | S. K. Godunov,
"Numerical Solution of Boundary-Value Problems
for Systems of Linear Ordinary Differential Equations,"
Uspekhi Mat. Nauk
16 (3), 171-174 (1961). |
|
| Received |
20 November 2006 |
| Link to Fulltext |
|
| << Previous article | Volume 43, Issue 2 / 2008 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English