Geodesic
A rectangular plate on a two-parameter elastic base: the analytical solution
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 128-133 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the paper the approximate solution for a problem of a rectangular plate on a two-parameter elastic base is suggested. The double series of beam functions satisfying elastic support boundary conditions are constructed. The analytical expressions for series function coefficients are obtained.
Keywords: rectangular plate, approximate analytical solution, two-parameter elastic base, elastic support, beam functions, double series of functions. 
@article{VSGU_2011_8_a13,
     author = {A. A. Bol'shakov},
     title = {A rectangular plate on a~two-parameter elastic base: the analytical solution},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {128--133},
     year = {2011},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a13/}
}
TY  - JOUR
AU  - A. A. Bol'shakov
TI  - A rectangular plate on a two-parameter elastic base: the analytical solution
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2011
SP  - 128
EP  - 133
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/VSGU_2011_8_a13/
LA  - ru
ID  - VSGU_2011_8_a13
ER  - 
%0 Journal Article
%A A. A. Bol'shakov
%T A rectangular plate on a two-parameter elastic base: the analytical solution
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2011
%P 128-133
%N 8
%U http://geodesic.mathdoc.fr/item/VSGU_2011_8_a13/
%G ru
%F VSGU_2011_8_a13
A. A. Bol'shakov. A rectangular plate on a two-parameter elastic base: the analytical solution. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 128-133. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a13/

[1] Pasternak P. L., Osnovy novogo metoda rascheta fundamentov na uprugom osnovanii pri pomoschi dvukh koeffitsientov posteli, Gosstroiizdat, M., 1954, 56 pp.

[2] Kolkunov N. V., Osnovy rascheta uprugikh obolochek, Vyssh. shkola, M., 1972, 296 pp. | Zbl

[3] Biderman V. L., Prikladnaya teoriya mekhanicheskikh kolebanii, Vyssh. shkola, M., 1972, 416 pp. | Zbl

[4] Fletcher K., Chislennye metody na osnove metoda Galerkina, Mir, M., 1988, 296 pp.

[5] Lantsosh K., Prakticheskie metody prikladnogo analiza, Fizmatgiz, M., 1961, 524 pp.