Geodesic
Rigid body motion in a~resisting medium
Matematičeskoe modelirovanie, Tome 23 (2011) no. 12, pp. 79-104

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

Proposed work presents next stage of the study of the problem of the plane-parallel motion of a rigid body interacting with resistant medium only through the flat plate of its external surface. During of construction of mathematical model the information of the rigid body motion in a jet flow under assumptions of quasi-stationary conditions is used. The motion of a medium is not studied but is considered such problem of the motion of a rigid body in which case the typical time of the motion the body around its centre of mass is commensurable since typical time of the motion of centre itself. The conditions to asymptotic stability of the rectilinear onward braking is fulfilled, new multivariable family phase portrait in space of quasi-velocities is received, the quantitative material for undertaking further natural experiment about motion of the flap circular cylinder is prepared.
Keywords: rigid body, resisting medium, integrability, self-oscillations, natural experiment. 
@article{MM_2011_23_12_a5,
     author = {M. V. Shamolin},
     title = {Rigid body motion in a~resisting medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {79--104},
     publisher = {mathdoc},
     volume = {23},
     number = {12},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_12_a5/}
}
TY  - JOUR
AU  - M. V. Shamolin
TI  - Rigid body motion in a~resisting medium
JO  - Matematičeskoe modelirovanie
PY  - 2011
SP  - 79
EP  - 104
VL  - 23
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2011_23_12_a5/
LA  - ru
ID  - MM_2011_23_12_a5
ER  - 
%0 Journal Article
%A M. V. Shamolin
%T Rigid body motion in a~resisting medium
%J Matematičeskoe modelirovanie
%D 2011
%P 79-104
%V 23
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2011_23_12_a5/
%G ru
%F MM_2011_23_12_a5
M. V. Shamolin. Rigid body motion in a~resisting medium. Matematičeskoe modelirovanie, Tome 23 (2011) no. 12, pp. 79-104. http://geodesic.mathdoc.fr/item/MM_2011_23_12_a5/