 | | 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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| << Previous article | Volume 53, Issue 5 / 2018 | Next article >> |
| E.V. Rozhkova, "Solution of the Generalized Oscillation Equation of Rods by a Recursive Operator Method," Mech. Solids. 53 (5), 552-567 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
5 |
Pages |
552-567 |
| DOI |
10.3103/S0025654418080095 |
| Title |
Solution of the Generalized Oscillation Equation of Rods by a Recursive Operator Method |
| Author(s) |
E.V. Rozhkova (Tashkent Institute of Railway Transport Engineers, ul. Chambil 1, Tashkent, Uzbekistan, rojkova-elena@mail.ru) |
| Abstract |
Taking into account the influence of the elastic base, external and internal damping, rotational
inertia, and shear, the solutions of the equations for transverse and longitudinal oscillations of the rod
are obtained by using a recursive operator method. The special cases of these equations are considered
and the advantages of the method are illustrated by a specific example. |
| Keywords |
recursive operator method, dissipation, elastic base, rotational inertia |
| References |
| 1. | F.I. Fedorov,
The Theory of Elastic Waves in Crystals
(Nauka, Moscow, 1965) [in Russian]. |
| 2. | A.I. Tseitlin,
"On the Effect of Shear Deformation and Rotary Inertia in Vibrations of
Beams on Elastic Foundation,"
Prikl. Mat. Mekh.,
25 (2), 362-364 (1961)
[J. Appl. Math. Mech. (Engl. Transl.)
25 (2), 531-535 (1961)]. |
| 3. | A.P. Filin,
Applied Mechanics of Solids, Vol. 3 (Nauka, Moscow, 1981) [in Russian]. |
| 4. | V.N. Frolov, Special Classes of Functions in the Anisotropic Theory of Elasticity (Fan, Tashkent,
1981) [in Russian]. |
| 5. | Yu.L. Spivakov,
Special Classes of Solutions of Linear Differential Equations and Their Applications
to the Anisotropic and Inhomogeneous Theory of Elasticity (Fan, Tashkent, 1986) [in Russian]. |
| 6. | E.V. Rozhkova,
"Recursive-Operator Method in Vibration Problems for Rod Systems,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 124-138 (2009) [Mech. Sol. (Engl. Transl.)
44 (6), 915-926 (2009)]. |
| 7. | E.V. Rozhkova, "Solution of Systems of Recursive Equations by Reducing to a Solution of One Recursive
Equation," Uzb. Mat. Zh., No. 2, 108-120 (2011). |
|
| Received |
23 July 2015 |
| Link to Fulltext |
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