Geodesic
An operator method for studying the Euler problem on types of the loss of stability for a~pivoted rod under buckling load
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2010), pp. 86-91

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In this paper we propose a new method for defining the Euler critical forces. We construct a scheme that leads to asymptotic formulas defining the bending of a rod both for constant and variable rigidities. The obtained results are based on operator methods of the bifurcation theory.
Keywords: critical forces, asymptotic formulas, stability, balance state.
Mots-clés : bifurcation points 
@article{IVM_2010_11_a7,
     author = {G. G. Sharafutdinova},
     title = {An operator method for studying the {Euler} problem on types of the loss of stability for a~pivoted rod under buckling load},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--91},
     publisher = {mathdoc},
     number = {11},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_11_a7/}
}
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G. G. Sharafutdinova. An operator method for studying the Euler problem on types of the loss of stability for a~pivoted rod under buckling load. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2010), pp. 86-91. http://geodesic.mathdoc.fr/item/IVM_2010_11_a7/