Nonlinear equations of motion for orthotropic plates
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 36-39
A. B. Akhmedov; S. V. Sheshenin. Nonlinear equations of motion for orthotropic plates. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 36-39. http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a6/
@article{VMUMM_2012_3_a6,
     author = {A. B. Akhmedov and S. V. Sheshenin},
     title = {Nonlinear equations of motion for orthotropic plates},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {36--39},
     year = {2012},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a6/}
}
TY  - JOUR
AU  - A. B. Akhmedov
AU  - S. V. Sheshenin
TI  - Nonlinear equations of motion for orthotropic plates
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2012
SP  - 36
EP  - 39
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a6/
LA  - ru
ID  - VMUMM_2012_3_a6
ER  - 
%0 Journal Article
%A A. B. Akhmedov
%A S. V. Sheshenin
%T Nonlinear equations of motion for orthotropic plates
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2012
%P 36-39
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a6/
%G ru
%F VMUMM_2012_3_a6

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

This paper presents the nonlinear dynamic equilibrium equations for an orthotropic plate based on the 3D nonlinear equations of elasticity theory. The resulting plate model provides a high accuracy. The advantage in accuracy is shown in statics using the Vlasov model problem of a pin-supported plate under sinusoidal load.

[1] Galinsh A.K., “Raschet plastin i obolochek po utochnennym teoriyam”, Issledovaniya po teorii plastin i obolochek, VI, VII, Izd-vo Kazan. un-ta, Kazan, 1970

[2] Ambartsumyan S.A., Teoriya anizotropnykh plastin, Nauka, M., 1987 | MR

[3] Novozhilov V.V., Osnovy nelineinoi teorii uprugosti, Gostekhizdat, M.–L., 1948 | MR

[4] Akhmedov A.B., “Nelineinaya teoriya izgibnykh kolebanii vyazkouprugikh pologikh obolochek”, Uzbek. zhurn. problem mekhaniki, 2000, no. 1, 19–24

[5] Skoptsov K.A., Sheshenin S.V., “Asimptoticheskii analiz teorii plastin Reisnera–Mindlina”, Uprugost i neuprugost, Mat-ly Mezhdunar. simp. po problemam MDTT, M., 2011, 301–311

[6] Vlasov B.F., “Ob odnom sluchae izgiba pryamougolnoi tolstoi plity”, Vestn. Mosk. un-ta. Ser. fiz.-mat. nauk, 1957, no. 2

[7] Timoshenko S.P., Voinovskii-Kriger S., Plastinki i obolochki, Fizmatgiz, M., 1963

[8] Reissner E., “On the theory of bending of elastic plates. I”, Math. and Phys., 23:1 (1944) | MR