Mathematical model of deformation of the circular three-layer plate on the basis of Pasternak
Problemy fiziki, matematiki i tehniki, no. 1 (2017), pp. 42-46.

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

Statement of a boundary problem about a bend of an elastic three-layer circular plate on the basis of Pasternak is given. General analytical solution for the asymmetrical on thickness plate is obtained. It can serve as a source for the study of any case of symmetric bending a circular three-layer plate, simply supported on an elastic foundation of Pasternak's.
Keywords: three-layer circular plate, symmetric bend, Pasternak's basis.
@article{PFMT_2017_1_a6,
     author = {A. G. Kozel},
     title = {Mathematical model of deformation of the circular three-layer plate on the basis of {Pasternak}},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {42--46},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2017_1_a6/}
}
TY  - JOUR
AU  - A. G. Kozel
TI  - Mathematical model of deformation of the circular three-layer plate on the basis of Pasternak
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2017
SP  - 42
EP  - 46
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2017_1_a6/
LA  - ru
ID  - PFMT_2017_1_a6
ER  - 
%0 Journal Article
%A A. G. Kozel
%T Mathematical model of deformation of the circular three-layer plate on the basis of Pasternak
%J Problemy fiziki, matematiki i tehniki
%D 2017
%P 42-46
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2017_1_a6/
%G ru
%F PFMT_2017_1_a6
A. G. Kozel. Mathematical model of deformation of the circular three-layer plate on the basis of Pasternak. Problemy fiziki, matematiki i tehniki, no. 1 (2017), pp. 42-46. http://geodesic.mathdoc.fr/item/PFMT_2017_1_a6/

[1] V. V. Bolotin, Yu. N. Novichkov, Mekhanika mnogosloinykh konstruktsii, Mashinostroenie, M., 1980, 375 pp.

[2] E. I. Starovoitov, Soprotivlenie materialov, Fizmatlit, M., 2008, 384 pp.

[3] A. G. Gorshkov, E. I. Starovoitov, A. V. Yarovaya, “Garmonicheskoe nagruzhenie sloistykh vyazkouprugoplasticheskikh sistem”, Izvestiya Rossiiskoi akademii nauk. Mekhanika tverdogo tela, 2000, no. 6, 91–98

[4] E. I. Starovoitov, D. V. Leonenko, A. V. Yarovaya, “Circular sandwich plates under local impulsive loads”, International Applied Mechanics, 39:8 (2003), 945–952 | DOI | Zbl

[5] E. I. Starovoitov, D. V. Leonenko, A. V. Yarovaya, “Vibration of circular sandwich plates under resonance loads”, International Applied Mechanics, 39:12 (2003), 1458–1463 | DOI | Zbl

[6] Yu. M. Pleskachevskii, E. I. Starovoitov, D. V. Leonenko, Mekhanika trekhsloinykh sterzhnei i plastin, svyazannykh s uprugim osnovaniem, Fizmatlit, M., 2011, 560 pp.

[7] A. G. Gorshkov, E. I. Starovoitov, A. V. Yarovaya, D. V. Leonenko, “Deformirovanie krugovoi trekhsloinoi plastiny na uprugom osnovanii”, Ekologicheskii vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva, 2005, no. 1, 16–22

[8] E. I. Starovoitov, E. P. Dorovskaya, “Izgib pryamougolnoi trekhsloinoi plastiny na uprugom osnovanii”, Problemy mashinostroeniya i avtomatizatsii, 2006, no. 3, 45–50

[9] E. I. Starovoitov, D. V. Leonenko, M. Suleiman, “Termouprugii izgib koltsevoi trekhsloinoi plastiny na uprugom osnovanii”, Ekologicheskii vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva, 2006, no. 4, 55–62

[10] É. I. Starovoitov, D. V. Leonenko, “Thermoplastic bending of a sandwich ring plate on an elastic foundation”, International Applied Mechanics, 44:9 (2008), 1032–1040 | DOI | MR

[11] E. I. Starovoitov, D. V. Leonenko, “Impact of thermal and ionizing radiation on a circular sandwich plate on an elastic foundation”, International Applied Mechanics, 47:5 (2011), 580–589 | DOI | MR

[12] D. V. Leonenko, E. I. Starovoitov, “Thermoplastic strain of circular sandwich plates on an elastic base”, Mechanics of Solids, 44:5 (2009), 744–755 | DOI | MR

[13] E. I. Starovoitov, D. V. Leonenko, “Deformation of a three-layer elastoplastic beam on an elastic foundation”, Mechanics of Solids, 46:2 (2011), 291–298 | DOI

[14] D. V. Leonenko, E. I. Starovoitov, “Thermal impact on a circular sandwich plate on an elastic foundation”, Mechanics of Solids, 47:1 (2012), 111–118 | DOI | MR

[15] E. L. Kuznetsova, D. V. Leonenko, E. I. Starovoitov, “Natural vibrations of three-layer circular cylindrical shells in an elastic medium”, Mechanics of Solids, 5:3 (2015), 359–366 | DOI | MR

[16] V. Z. Vlasov, N. N. Leontev, Balki, plity, obolochki na uprugom osnovanii, Gos. izd-vo fiz.-mat. lit-ry, M., 1960, 226–235 | Zbl