 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
|
| In English (Mech. Solids): | | 5124 |
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| << Previous article | Volume 52, Issue 3 / 2017 | Next article >> |
| A.P. Evdokimenko, "On Equilibrium Configurations and Their Stability for a System of Two Coupled Pendulums," Mech. Solids. 52 (3), 266-277 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
3 |
Pages |
266-277 |
| DOI |
10.3103/S0025654417030049 |
| Title |
On Equilibrium Configurations and Their Stability for a System of Two Coupled Pendulums |
| Author(s) |
A.P. Evdokimenko (The Advanced Educational Scientific Center (Faculty) - Kolmogorov's Boarding School of Moscow State University, ul. Kremenchugskaya 11, Moscow, 121357 Russia, artem.evdokimenko@gmail.com) |
| Abstract |
A mechanical system consisting of two identical mathematical pendulums connected by a linear spring is considered under the assumption that the pendulum suspension points lie on a horizontal straight line and the system is in a homogeneous gravitational field. The equilibrium configurations of this mechanical system and their stability are studied. The results are represented in the form of bifurcation diagrams. |
| Keywords |
coupled pendulums, equilibria, stability, bifurcation |
| References |
| 1. | A. P. Markeev,
"Nonlinear Oscillations of Sympathetic Pendulums,"
Nelinein. Din.
6 (3), 605-620(2010). |
| 2. | A. P. Markeev,
"On the Motion of Coupled Pendulums,"
Nelin Din.
9 (1), 27-38 (2013). |
| 3. | A. P. Markeev,
"On the Stability of Nonlinear Vibrations of Coupled Pendulums,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 20-30 (2013)
[Mech. Solids (Engl. Transl.)
48 (4), 370-379 (2013)]. |
| 4. | M. A. Guzev and M. A. Dmitriev,
"Modified Model of Coupled Pendulums,"
Nelin. Din.
11 (4), 709-720 (2015). |
| 5. | N. G. Chetaev,
Stability of Motion
(Nauka, Moscow, 1955)
[in Russian]. |
|
| Received |
16 November 2016 |
| Link to Fulltext |
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