 | | 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 |
|
| << Previous article | Volume 53, Issue 6 / 2018 | Next article >> |
| L.D. Akulenko and V.V. Perepelkin, "Dynamic Analysis of Perturbed Chandler Oscillations of the Earth's Pole," Mech. Solids. 53 (6), 601-608 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
6 |
Pages |
601-608 |
| DOI |
10.3103/S0025654418060018 |
| Title |
Dynamic Analysis of Perturbed Chandler Oscillations of the Earth's Pole |
| Author(s) |
L.D. Akulenko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia)
V.V. Perepelkin (Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia, vadimkin1@yandex.ru) |
| Abstract |
On the basis of the developed analytical model of the motion of a deformable Earth relative to the center of mass, the disturbed motion of the Earth's pole is investigated. Taking into account the influence of the pole tide by linear and nonlinear dissipative terms, as well as disturbances at close to the Chandler frequency, corrections to the frequency and amplitudes of the Chandler oscillations depending on the dissipation coefficients were found in the equations of motion of the Earth's pole. |
| Keywords |
the Earth's pole, the Chandler oscillation, the motion of the Earth relative to the center of mass, dissipation |
| References |
| 1. | International Earth Rotation and Reference Systems Service - IERS Annual Reports
(http://www.iers.org). |
| 2. | W.H. Munk and G.J.F. MacDonald,
The Rotation of the Earth
(Cambridge Univ. Press, Cambridge, 1960; Mir, Moscow, 1964). |
| 3. | L.D. Akulenko, S.A. Kumakshev, Yu.G. Markov, and L.V. Rykhlova,
"A Model for the Polar Motion of the Deformable Earth Adequate for Astrometric Data,"
Astron. Zh. 79 (1), 481-489 (2002)
[Astron. Rep. (Engl. Transl.) 46 (1), 74-82 (2005)]. |
| 4. | L.D. Akulenko, S.A. Kumakshev, Yu.G. Markov, and L.V. Rykhlova,
"A Gravitational-Tidal Mechanism for the Earth's Polar Oscillations,"
Astron. Zh. 82 (10), 950-960 (2005)
[Astron. Rep. (Engl. Transl.) 49 (10), 847-857 (2005)]. |
| 5. | L.D. Akulenko, D.M. Klimov, Yu.G. Markov, and V.V. Perepelkin,
"Oscillatory-Rotational Processes in the Earth Motion about the Center of Mass: Interpolation and Forecast,"
Izv. Akad. Nauk. Mekh. Tv. Tela,
No. 6, 6-29 (2012)
[Mech. Sol. (Engl. Transl.)
47 (6), 601-621 (2012)]. |
| 6. | Permanent Service for Mean Sea Level (http://www.psmsl.org/). |
| 7. | N.S. Sidorenkov,
Physics of the Earth's Rotation Instabilities
(Nauka, Moscow, 2002) [in Russian]. |
| 8. | D.Pugh and P.Woodworth,
Sea-Level Science
(Cambridge Univ. Press, Cambridge, 2014). |
| 9. | V.V. Perepelkin,
"Fluctuations of Pole Oscillations of Deformable Earth under Nonstationary Perturbations,"
Izv. Akad. Nauk. Mekh. Tv. Tela,
No. 6, 44-51 (2016)
[Mech. Sol. (Engl. Transl.)
51 (6), 654-659 (2016)]. |
| 10. | Yu.N. Avsyuk,
Tidal Forces and Natural Processes
(OIFZ RAN, Moscow, 1996) [in Russian]. |
| 11. | L.D. Akulenko, D.M. Klimov, and S.A. Kumakshev,
"The Main Properties and Peculiarities of the Earth's Motion Relative to the Center of Mass,"
Dokl. Ross. Akad. Nauk
458 (5), 547-550 (2014)
[Dokl. Phys. (Engl. Transl.)
59 (10), 472-475 (2014)]. |
| 12. | V.V. Vityazev,
Wavelet Analysis of Time Series
(St.-Petersburg Univ., St.-Petersburg, 2001) [in Russian]. |
| 13. | W.P.O' Connor, B.F. Chao, D. Zheng, and Y.Au. Andrew,
"Wind Stress Forcing of the North Sea `Pole Tide',"
Geophys. J. Int.
142, 620-630 (2000). |
|
| Received |
01 August 2018 |
| Link to Fulltext |
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