Geodesic
On a mechanical lens
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 4, pp. 773-781.

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of dynamics of heavy uniform ball moving on the fixed rough plane under its own inertia and forces of dry friction is considered. Assuming that friction coefficient is variable, the switching curve for change the value of friction coefficient is constructed. Using this curve to change the value of friction coefficient we have shown that the bundle of equal balls starting from one interval with equal linear and angular velocities should gather at one point.
Keywords: dry friction, ball's dynamics.
Mots-clés : variable friction coefficient 
@article{ND_2012_8_4_a6,
     author = {Alexander P. Ivanov and Nadezhda N. Erdakova},
     title = {On a mechanical lens},
     journal = {Russian journal of nonlinear dynamics},
     pages = {773--781},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2012_8_4_a6/}
}
TY  - JOUR
AU  - Alexander P. Ivanov
AU  - Nadezhda N. Erdakova
TI  - On a mechanical lens
JO  - Russian journal of nonlinear dynamics
PY  - 2012
SP  - 773
EP  - 781
VL  - 8
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2012_8_4_a6/
LA  - ru
ID  - ND_2012_8_4_a6
ER  - 
%0 Journal Article
%A Alexander P. Ivanov
%A Nadezhda N. Erdakova
%T On a mechanical lens
%J Russian journal of nonlinear dynamics
%D 2012
%P 773-781
%V 8
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2012_8_4_a6/
%G ru
%F ND_2012_8_4_a6
Alexander P. Ivanov; Nadezhda N. Erdakova. On a mechanical lens. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 4, pp. 773-781. http://geodesic.mathdoc.fr/item/ND_2012_8_4_a6/

[1] Euler E. A., “Recherches plus exactes sur l'effect des moulins à vent”, Mem. Acad. Roy. Sci. Berlin, 12 (1758), 165–234

[2] Markeev A. P., Dinamika tela, soprikasayuschegosya s tverdoi poverkhnostyu, Nauka, M., 1992, 335 pp. | MR | Zbl

[3] Ruina E., Chastnoe soobschenie, Simpozium IUTAM «Ot mekhanicheskikh k biologicheskim sistemam: integrirovannyi podkhod» (Udmurtskii gosudarstvennyi universitet, Izhevsk, 2012)