 | | 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
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 54, Issue 5 / 2019 | Next article >> |
| M.I. Chebakov and E.M. Kolosova, "Contact Problem for a Cylindrical Waveguide With a Periodic Structure," Mech. Solids. 54 (5), 717-725 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
5 |
Pages |
717-725 |
| DOI |
10.3103/S0025654419050066 |
| Title |
Contact Problem for a Cylindrical Waveguide With a Periodic Structure |
| Author(s) |
M.I. Chebakov (Vorovich Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, Rostov-on-Don, 344006 Russia, michebakov@yandex.ru)
E.M. Kolosova (Vorovich Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, Rostov-on-Don, 344006 Russia, a_lena_ch@mail.ru) |
| Abstract |
The axially symmetric problem of a stamp excitation of torsional oscillations in a cylindrical
waveguide with periodically changing mechanical properties along the longitudinal coordinate has
been studied. A section of waveguide, corresponding to the minimal period of change in mechanical
properties, can consist of any number of homogeneous regions (finite cylinders) with a different length
and with various elastic constants. The method, related to the construction of the special “transition
operator”, which allows finding the values of the displacement vector and stress tensors on one cross-section of a waveguide by their values on another. The distance between waveguide sections equals the
value of the minimal period of changing properties of the waveguide. Relations for calculating the
eigenvalues of the transition operator are obtained. The study of these eigenvalues allows defining the
range of frequencies when both damping and continuous oscillations can propagate in the waveguide.
Contact strains under a stamp are determined for relatively large radii of the cylinder. |
| Keywords |
contact interaction, cylindrical waveguide, oscillation propagation, integral equation |
| Received |
03 April 2018 | Revised |
06 July 2018 | Accepted |
25 December 2018 |
| Link to Fulltext |
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