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

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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},
     publisher = {mathdoc},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2015_4_a8/}
}
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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/