Geodesic
Use of the indirect boundary elements method for isotropic plates on an elastic Winkler base and~Pasternak~--- Vlasov base
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 2, pp. 33-47

Voir la notice de l'article provenant de la source Math-Net.Ru

The calculation tasks combining lightness, economy, high strength and reliability of thin-walled structures on an elastic base are relevant for modern mechanical engineering. In this regard, the use of isotropic materials on an elastic base seems justified, therefore their calculation is considered in this article. The problems of the theory of plates and shells belong to the class of boundary value problems, the analytical solution of which, due to various circumstances (the nonlinearity of differential equations, the complexity of geometry and boundary conditions, etc.), cannot be determined. Numerical methods help to solve this problem. Among numerical methods, undeservedly little attention is paid to the boundary element method. In this regard, the further development of indirect compensating loads method for solving problems of the theory of isotropic plates on an elastic base of Winkler and Pasternak — Vlasov, based on the application of exact fundamental solutions, is relevant.
Keywords: mechanics, mathematics, differential equations, plates on an elastic base of Winkler and Pasternak — Vlasov, fundamental solutions, influence functions, indirect boundary elements method, compensating loads method. 
@article{VSGU_2021_27_2_a3,
     author = {P. G. Velikanov and N. I. Kukanov and D. M. Khalitova},
     title = {Use of the indirect boundary elements method for isotropic plates on an elastic {Winkler} base {and~Pasternak~---} {Vlasov} base},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {33--47},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2021_27_2_a3/}
}
TY  - JOUR
AU  - P. G. Velikanov
AU  - N. I. Kukanov
AU  - D. M. Khalitova
TI  - Use of the indirect boundary elements method for isotropic plates on an elastic Winkler base and~Pasternak~--- Vlasov base
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2021
SP  - 33
EP  - 47
VL  - 27
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2021_27_2_a3/
LA  - ru
ID  - VSGU_2021_27_2_a3
ER  - 
%0 Journal Article
%A P. G. Velikanov
%A N. I. Kukanov
%A D. M. Khalitova
%T Use of the indirect boundary elements method for isotropic plates on an elastic Winkler base and~Pasternak~--- Vlasov base
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2021
%P 33-47
%V 27
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2021_27_2_a3/
%G ru
%F VSGU_2021_27_2_a3
P. G. Velikanov; N. I. Kukanov; D. M. Khalitova. Use of the indirect boundary elements method for isotropic plates on an elastic Winkler base and~Pasternak~--- Vlasov base. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 2, pp. 33-47. http://geodesic.mathdoc.fr/item/VSGU_2021_27_2_a3/