Geodesic
Stability of a column in the presence of obstacles to buckling
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2015), pp. 71-84 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Loss of stability of the rectilinear elastic column in the presence of obstacles to a buckling is investigated. Various ways of fixing the ends of the column are considered. For the physical obstacles, transverse forces and the moments are considered. As a geometrical obstacle, the rigid walls located near the column are considered. It is shown that transverse forces and the moments have essential impact on value of critical force. The critical force with at which there occurs a secondary loss of stability of the column located near absolutely rigid wall is estalished.
Keywords: buckling of a column, isoperimetric condition, loss of stability. 
@article{VTGU_2015_4_a8,
     author = {Yu. I. Dorogov},
     title = {Stability of a column in the presence of obstacles to buckling},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {71--84},
     year = {2015},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2015_4_a8/}
}
TY  - JOUR
AU  - Yu. I. Dorogov
TI  - Stability of a column in the presence of obstacles to buckling
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2015
SP  - 71
EP  - 84
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VTGU_2015_4_a8/
LA  - ru
ID  - VTGU_2015_4_a8
ER  - 
%0 Journal Article
%A Yu. I. Dorogov
%T Stability of a column in the presence of obstacles to buckling
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2015
%P 71-84
%N 4
%U http://geodesic.mathdoc.fr/item/VTGU_2015_4_a8/
%G ru
%F VTGU_2015_4_a8
Yu. I. Dorogov. Stability of a column in the presence of obstacles to buckling. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2015), pp. 71-84. http://geodesic.mathdoc.fr/item/VTGU_2015_4_a8/

[1] Timoshenko S. P., Ustoychivost' sterzhney plastin i obolochek, Nauka Publ., M., 1971 (in Russian) | MR

[2] Vol'mir A. S., Ustoychivost' deformiruemykh sistem, Nauka Publ., M., 1967 (in Russian)

[3] Panovko Ya. G., Gubanova I. I., Ustoychivost' i kolebaniya uprugikh sistem, Nauka Publ., M., 1987 (in Russian) | MR

[4] Rabotnov Yu. N., Mekhanika deformiruemogo tverdogo tela, Nauka Publ., M., 1988 (in Russian)

[5] Dorogov Yu. I., “Primenenie izoperimetricheskogo usloviya v zadachakh poteri ustoychivosti sterzhnya”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2014, no. 4(30), 71–81 (in Russian) | MR

[6] Dorogov Yu. I., “Poterya ustoychivosti gorizontal'nogo sterzhnya s gruzom i uprugoy oporoy posredine”, Stroitel'naya mekhanika i raschet sooruzheniy, 2014, no. 2, 31–39 (in Russian)

[7] Dorogov Yu. I., “Ob ustoychivosti gorizontal'nogo sterzhnya, lezhashchego na zhestkom osnovanii”, Stroitel'naya mekhanika i raschet sooruzheniy, 2015, no. 1, 58–65 (in Russian)

[8] Dorogov Yu. I., “The stability of the shape of an unattached elastic rod with stiff flanges on its ends”, Journal of Applied Mathematics and Mechanics, 77:3 (2013), 462–473 (in Russian) | MR | Zbl

[9] Dorogov Yu. I., “Ustoychivost' sterzhnya s zhestkimi okonchaniyami”, Stroitel'naya mekhanika i raschet sooruzheniy, 2013, no. 3, 16–21 (in Russian)

[10] Dorogov Yu. I., “Ustoychivost' sterzhnya s iskrivlennymi tortsami”, Mekhanika kompozitsionnykh materialov i konstruktsiy, 2012, no. 2, 255–266 (in Russian)

[11] Dorogov Yu. I., “Ustoychivost' uprugogo sterzhnya s razrushayushcheysya oporoy”, Mekhanika kompozitsionnykh materialov i konstruktsiy, 2010, no. 1, 84–96 (in Russian)

[12] Dorogov Yu. I., “Prodol'nyy izgib sterzhnya s razrushayushchimisya zadelkami”, Mekhanika kompozitsionnykh materialov i konstruktsiy, 2010, no. 4, 575–586 (in Russian)

[13] Dorogov Yu. I., “O niskhodyashchey vetvi diagrammy deformirovaniya”, Mekhanika kompozitsionnykh materialov i konstruktsiy, 2009, no. 2, 281–288 (in Russian)

[14] Dorogov Yu. I., “O potere ustoychivosti absolyutno zhestkogo sterzhnya s razrushayushcheysya oporoy”, Mekhanika kompozitsionnykh materialov i konstruktsiy, 2006, no. 3, 300–311 (in Russian)