Nonlinear equations of motion for orthotropic plates
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 36-39
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@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
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/

[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