 | | 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 |
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| << Previous article | Volume 53, Issue 5 / 2018 | Next article >> |
| G.M. Rozenblat, "Instability of the Maxwell's Pendulum Motion," Mech. Solids. 53 (5), 527-534 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
5 |
Pages |
527-534 |
| DOI |
10.3103/S0025654418080071 |
| Title |
Instability of the Maxwell's Pendulum Motion |
| Author(s) |
G.M. Rozenblat (Moscow State Automobile and Road Technical University, Leningradskii pr. 64, Moscow, 125319 Russia; Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, gr51@mail.ru) |
| Abstract |
The article deals with the problem of the vertical position stability of the Maxwell's pendulum performing the periodic upward and downward movements. It is shown that for any values of the pendulum parameters, its vertical position is unstable in the sense that in the system there are oscillations of the thread about the vertical of final amplitude for arbitrarily small initial deviations. In addition, it has been found that no impact phenomena occur when the Maxwell's pendulum moves and the model of this pendulum is incorrect in the sense of Hadamard when using the parameters frequently adopted in the literature. |
| Keywords |
Maxwell's pendulum, instability, impact, incorrectness in the sense of Hadamard |
| References |
| 1. | A. Borovoy and Yu. Klimov,
"Maxwell's Pendulum,"
Kvant, No. 11, 18-20 (1981). |
| 2. | D.V. Sivukhin,
The General Course of Physics, Vol. 1: Mechanics, 3rd ed.
(Nauka, Fizmatlit, Moscow, 1989) [in Russain]. |
| 3. | A.N. Matveev,
Mechanics and the Theory of Relativity, 2nd ed.
(Mir, Moscow, 1989) [in Russain]. |
| 4. | A.P. Markeev,
"On stability of Motion of the Maxwell Pendulum,"
Rus. J. Nonlin. Dyn.
13 (2), 207-226 (2017). |
| 5. | A.P. Markeev,
"Dynamics of Maxwell's Pendulum,"
Dokl. Ross. Akad. Nauk
483 (6), 664-668 (2017)
[Dokl. Phys. (Engl. Transl.)
62 (4), 228-232 (2017)]. |
| 6. | V.Ph. Zhuravlev,
"III-Posed Problems in Mechanics,"
Izv. Akad. Nauk. Mekh. Tv. Tela,
No. 5, 36-41 (2016)
[Mech. Sol. (Engl. Transl.)
51 (5), 538-541 (2016)]. |
| 7. | V.Ph. Zhuravlev and G.M. Rosenblat,
Paradoxes, Counterexamples, and Errors in Mechanics
(LENAND, Moscow, 2017) [in Russian]. |
|
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