On the condition of planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 42-45.

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

On the basis of the equations of generalized plane stress state the problems of planar vibrations of a rectangular thin plate are investigated. It is established possibility of the appearance of vibrations with amplitude decreasing exponentially, when moving from free edge to the opposite fixed edge. The conditions of the appearance of such localized vibrations depending on the size of the plate and the methods of fixation of other three sides are obtained.
Keywords: plane stress state, sliding contact, clumped edge.
Mots-clés : Navier conditions
@article{UZERU_2017_51_1_a7,
     author = {M. V. Belubekyan},
     title = {On the condition of planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {42--45},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a7/}
}
TY  - JOUR
AU  - M. V. Belubekyan
TI  - On the condition of planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2017
SP  - 42
EP  - 45
VL  - 51
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a7/
LA  - en
ID  - UZERU_2017_51_1_a7
ER  - 
%0 Journal Article
%A M. V. Belubekyan
%T On the condition of planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2017
%P 42-45
%V 51
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a7/
%G en
%F UZERU_2017_51_1_a7
M. V. Belubekyan. On the condition of planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 42-45. http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a7/

[1] M.V. Belubekyan, “Surface Waves in Elastic Media”, The Problems of Solid Mechanics. Inst. of Mechanics NAS RA, 1997, 79–96 (in Russian)

[2] M.V. Wilde, J.D. Kaplunov, L.Yu. Kossovich, Boundary and Interface Resonance Phenomena in Elastic Bodies, Fizmatlit, M, 2010, 280 pp. (in Russian)

[3] R.V. Ardazishvili, “Influence of the Method of Fixing of Front Surface on the Damping of the Antisymmetric Edge Waves of Higher Order in the Plates”, XI Congress on Fundamental Problems of Theoretical and Applied Mechanics (Kazan, 2015) (in Russian)

[4] S.A. Ambartsumian, Theory of Anisotropic Plates, Nauka, M., 1987, 360 pp. (in Russian) | MR

[5] M.V. Belubekyan, “The Equations of the Theory of Plates, Taking Into Account the Transverse Shears”, Problems of Mechanics of Thin Deformable Bodies, Acadimia Press, Yer., 2002, 67–88 (in Russian)

[6] W. Nowacki, Theory of Elasticity, Mir, M, 1975, 872 pp. (in Russian) | MR

[7] V.M. Belubekyan, M.V. Belubekyan, “The 3D Problem of the Elastic Wave Guide with Rectangular Cross Section”, The Problems of Solid Mechanics. Inst. of Mechanics NAS RA Mechanics, 2015, no. 4, 3–8 (in Russian) | MR

[8] P.E. Tovstik, The Stability of Thin Shells. Asymptotic Methods, Nauka, M., 1995, 320 pp. (in Russian) | MR