Geodesic
An analytical formula for an elastic thin rod shape under composite loading
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 7, pp. 35-42
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Euler problem on stability of a thin elastic rod under compressing forces is widely known. In a number of papers this problem is generalized to finding the shape of such a rod at simultaneous action of a compressing force and a torsional moment. The shape is determined by solving of a complex nonlinear boundary value problem by numerical methods. In this paper, an approach providing a full analytical solution of the problem for a broad range of external conditions is discussed. 
@article{FPM_2005_11_7_a4,
     author = {A. E. Ordanovich},
     title = {An analytical formula for an elastic thin rod shape under composite loading},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {35--42},
     year = {2005},
     volume = {11},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a4/}
}
TY  - JOUR
AU  - A. E. Ordanovich
TI  - An analytical formula for an elastic thin rod shape under composite loading
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2005
SP  - 35
EP  - 42
VL  - 11
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a4/
LA  - ru
ID  - FPM_2005_11_7_a4
ER  - 
%0 Journal Article
%A A. E. Ordanovich
%T An analytical formula for an elastic thin rod shape under composite loading
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2005
%P 35-42
%V 11
%N 7
%U http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a4/
%G ru
%F FPM_2005_11_7_a4
A. E. Ordanovich. An analytical formula for an elastic thin rod shape under composite loading. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 7, pp. 35-42. http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a4/

[1] Ilyukhin A. A., Prostranstvennye zadachi nelineinoi teorii uprugikh sterzhnei, Naukova dumka, Kiev, 1979 | MR

[2] Los M. V., Ordanovich A. E., “Opredelenie formy gibkogo sterzhnya pri osevom szhatii i kruchenii”, Vestn. Mosk. un-ta. Ser. 1, Matematika, mekhanika, 1994, no. 5, 48–54 | MR | Zbl

[3] Los M. V., Ordanovich A. E., “Analiz protsessa obrazovaniya petli na gibkom sterzhne”, Vestn. Mosk. un-ta. Ser. 1, Matematika, mekhanika, 1998, no. 3, 62–65 | MR | Zbl

[4] Los M. V., Ordanovich A. E., “Opredelenie uslovii obrazovaniya petli na gibkom sterzhne”, Vestn. Mosk. un-ta. Ser. 1, Matematika, mekhanika, 2000, no. 6, 33–37 | Zbl

[5] Nikolai E. L., Trudy po mekhanike, Gostekhizdat, M., 1955

[6] Svetlitskii V. A., Mekhanika sterzhnei, T. 1, 2, Vysshaya shkola, M., 1987