Geodesic
Changes in the Earth's rotational velocity and figure deformation associated with them
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 1, pp. 66-76 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

It is established that continuous changes of angular velocity of rotation of the plastically-elastic Earth should cause the continuous coupled deformation of a crustal layer, redistribution of masses in a sub-crustal layer and the change of density associated with it, and also, as a consequence of these phenomena, a polar pulsation of a figure when polar diameter of the Earth increases and decreases with time. The mechanism of occurrence of deformations of the planet body under action of a deforming (centrifugal) variable force is found; the tensors of deformations and pressure are written out; and, on the basis of the rheological equations, the equations of balance are deduced, and also calculation of the module of change of polar compression and radial displacements is made at real fluctuations of angular velocity of rotation of the Earth. The calculated values give the quite real changes of compression and radial displacements of the Earth's crust and its other shells. The opposite process is also shown, namely: the observed fluctuations of amplitude of the polar compression, which lead to respective alterations of the moment of inertia of the Earth, quite correspond to real fluctuations of the day length.
Keywords: Earth's rotation, fluctuations of angular velocity, figure of Earth, deformation, radial displacements, polar pulsation of figure, equilibrium equations. 
@article{UZKU_2020_162_1_a4,
     author = {V. Yu. Belashov and E. S. Belashova and O. A. Kharshiladze},
     title = {Changes in the {Earth's} rotational velocity and figure deformation associated with them},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {66--76},
     year = {2020},
     volume = {162},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2020_162_1_a4/}
}
TY  - JOUR
AU  - V. Yu. Belashov
AU  - E. S. Belashova
AU  - O. A. Kharshiladze
TI  - Changes in the Earth's rotational velocity and figure deformation associated with them
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2020
SP  - 66
EP  - 76
VL  - 162
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZKU_2020_162_1_a4/
LA  - ru
ID  - UZKU_2020_162_1_a4
ER  - 
%0 Journal Article
%A V. Yu. Belashov
%A E. S. Belashova
%A O. A. Kharshiladze
%T Changes in the Earth's rotational velocity and figure deformation associated with them
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2020
%P 66-76
%V 162
%N 1
%U http://geodesic.mathdoc.fr/item/UZKU_2020_162_1_a4/
%G ru
%F UZKU_2020_162_1_a4
V. Yu. Belashov; E. S. Belashova; O. A. Kharshiladze. Changes in the Earth's rotational velocity and figure deformation associated with them. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 1, pp. 66-76. http://geodesic.mathdoc.fr/item/UZKU_2020_162_1_a4/

[1] Belashov V.Yu., Geophysical Causes and Effects of Non-Uniform Rotation of the Earth, LVIMU, L., 1978, 90 pp. (In Russian)

[2] Belashov V.Yu., On the Influence of Magnetosphere Disturbance on the Rotational Regime of the Earth, Preprint, SVKNII DVNTs Akad. Nauk SSSR, Magadan, 1984, 17 pp. (In Russian)

[3] Belashov V. Yu., Nasyrov I. A., Gordeev R. S., “On the problem of the influence of the magnetosphere disturbance onto the rotational regime of the Earth”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160, no. 4, 2018, 617–630 (In Russian) | MR

[4] Pariiskii N. N., “Inconstancy of the rotation of the Earth and its strain”, Trans. Conf. on the Methods of Studying Crustal Movement and Strain, Geodezizdat, M., 1948, 157–164 (In Russian)

[5] Melhior P., Physics and Dynamics of the Planets, v. 2, Mir, M., 1976, 483 pp. (In Russian)

[6] Belashov V.Yu., “Strain of the Earth figure owing to changes of the velocity of its rotation”, Proceedings of Northeastern Complex Research Institute of the Academy of Sciences of the USSR, Magadan, 1987, 12–20 (In Russian)

[7] Stovas M. V., “Non-uniformity of rotation of the Earth, as the planetary-geomorphological and geotectonic factor”, Geol. Zh. Akad. Nauk Ukr. SSR, 17:3 (1957), 58–65 (In Russian)

[8] Stovas M. V., Mathematical analysis of tectonic processes caused by changes in the figure of the Earth, Extended Abstract of Doct. Phys.-Math. Sci. Diss., L., 1961, 24 pp. (In Russian)

[9] Melhior P., Physics and Dynamics of the Planets, v. 1, Mir, M., 1975, 575 pp. (In Russian)

[10] Belashov V.Yu., Long-Period Nutation-Precession Movements of the Instantaneous Pole of Rotation of the Earth, SVKNII DVNTs Akad. Nauk SSSR, Magadan, 1985, 19 pp. (In Russian)