 | | 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
|
| In English (Mech. Solids): | | 4760 |
|
| << Previous article | Volume 50, Issue 3 / 2015 | Next article >> |
| E.L. Kuznetsova, D.V. Leonenko, and E.I. Starovoitov, "Natural Vibrations of Three-Layer Circular Cylindrical Shells in an Elastic Medium," Mech. Solids. 50 (3), 359-366 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
3 |
Pages |
359-366 |
| DOI |
10.3103/S0025654415030127 |
| Title |
Natural Vibrations of Three-Layer Circular Cylindrical Shells in an Elastic Medium |
| Author(s) |
E.L. Kuznetsova (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, Moscow, 125993 Russia, vida_ku@mail.ru)
D.V. Leonenko (Belarusian State University of Transport, ul. Kirova 34, Gomel, 246653 Republic of Belarus, leoden@tut.by)
E.I. Starovoitov (Belarusian State University of Transport, ul. Kirova 34, Gomel, 246653 Republic of Belarus, edstar@mail.by) |
| Abstract |
Free vibrations of a three-layer cylindrical circular shell in an elastic medium are considered. It is assumed that the bearing layers satisfy the Kirchhoff-Love hypotheses. The work of transverse shear and the compression over the thickness are taken into account in the thick filler. It is assumed that the variations in the displacements are linear in the transverse coordinate. The displacement continuity conditions are used on the boundaries of contact. The Winkler hypothesis is accepted for the elastic inertialess environment. The variation in the natural vibration frequencies depending on the rigidity characteristics of the shell-environment system is studied. |
| Keywords |
free vibrations, three-layer cylindrical shell, elastic medium |
| References |
| 1. | V. V. Bolotin and Yu. N. Novichkov,
Mechanics of Multi-Layer Constructions. (Mashinostroenie, Moscow, 1980)
[in Russian]. |
| 2. | A. G. Gorshkov, E. I. Starovoitov, and A. V. Yarovaya,
Mechanics of Layered Viscoelastoplastic Structural Elements. (Fizmatlit, Moscow, 2005)
[in Russian]. |
| 3. | E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko,
Deformation of Three-Layer Structural Elements on Elastic Foundations. (Fizmatlit, Moscow, 2006)
[in Russian]. |
| 4. | Yu. M. Pleskachevskii, E. I. Starovoitov, and D. V. Leonenko,
Mechanics of Three-Layer Beams and Plates Connected with an Elastic Foundation. (Fizmatlit, Moscow, 2011)
[in Russian]. |
| 5. | E. I. Starovoitov and F. B. Nagiyev,
Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity. (Apple Acad. Press, Toronto-New Jersey, 2012). |
| 6. | V. Z. Vlasov and N. N. Leontiev,
Beams, Plate, and Shells on an Elastic Foundation. (Fizmatgiz, Moscow, 1960)
[in Russian]. |
| 7. | D. V. Leonenko and E. I. Starovoitov,
"Thermoplastic Strain of Circular Sandwitch Plates on an Elastic Base,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 106-119 (2009)
[Mech. Solids (Engl. Transl.)
44 (5), 744-755 (2009)]. |
| 8. | E. I. Starovoitov and D. V. Leonenko,
"Thermodynamic Strain of Three-Layer Elastoplastic Beam on and Elastic Foundation,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 160-168 (2011)
[Mech. Solids (Engl. Transl.)
46 (2), 291-298 (2011)]. |
| 9. | D. V. Leonenko and E. I. Starovoitov,
"Thermal Impact on a Circular Sandwitch Plate on an Elastic Foundation,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 141-149 (2012)
[Mech. Solids (Engl. Transl.)
47 (1), 111-118 (2012)]. |
| 10. | E. V. Lomakin and B. N. Fedulov,
"Plane Strain Extension of a Strip Made of a Material
with Stress State Type Dependent Material Properties
and Weakened by Cuts with Circular Base,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 80-87 (2013)
[Mech. Solids (Engl. Transl.)
48 (4), 424-430 (2013)]. |
| 11. | E. V. Lomakin and A. M. Mel'nikov,
"Plane Stress State Problems for Notched Bodies Whose Plastic Properties
Depend on the Form of the Stress State,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 77-89 (2011)
[Mech. Solids (Engl. Transl.)
46 (1), 62-69 (2011)]. |
| 12. | A. G. Gorshkov, Amar Abdul Karim Salman, D. V. Tarlakovskii, and G. V. Fedotenkov,
"Impact of a Deformable Cylindrical Body against an Elastic Half-Space,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 82-90 (2004)
[Mech. Solids (Engl. Transl.)
39 (3), 65-72 (2004)]. |
| 13. | E. L. Kuznetsova, D. V. Tarlakovskii, and G. V. Fedotenkov,
"Propagation of Unsteady Waves in an Elastic Layer,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 144-152 (2011)
[Mech. Solids (Engl. Transl.)
46 (5), 779-787 (2011)]. |
|
| Received |
26 November 2014 |
| Link to Fulltext |
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