The geometrical irregular plates under the influence of the quick changed on the time coordinate forces and temperature effects
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 4, pp. 442-451.

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

On the basis of incoherent thermoelasticity, the dynamic behaviour of geometrically irregular plates under the influence of quick changed, on the time coordinate, forces and temperature effects on surfaces is considered. An approach allowing to obtain the analytical solution of the thermoelasticity dynamic problem for the plate under inhomogeneous boundary conditions at all four edges is suggested. Quantitative analysis of the influence of the geometrical and thermomechanical parameters of elastic system on the change of bending and the character of oscillation of the points of medial surface is carried out.
@article{ISU_2015_15_4_a8,
     author = {G. N. Belostochny and O. A. Myltcina},
     title = {The geometrical irregular plates under the influence of the quick changed on the time coordinate forces and temperature effects},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {442--451},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2015_15_4_a8/}
}
TY  - JOUR
AU  - G. N. Belostochny
AU  - O. A. Myltcina
TI  - The geometrical irregular plates under the influence of the quick changed on the time coordinate forces and temperature effects
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2015
SP  - 442
EP  - 451
VL  - 15
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2015_15_4_a8/
LA  - ru
ID  - ISU_2015_15_4_a8
ER  - 
%0 Journal Article
%A G. N. Belostochny
%A O. A. Myltcina
%T The geometrical irregular plates under the influence of the quick changed on the time coordinate forces and temperature effects
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2015
%P 442-451
%V 15
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2015_15_4_a8/
%G ru
%F ISU_2015_15_4_a8
G. N. Belostochny; O. A. Myltcina. The geometrical irregular plates under the influence of the quick changed on the time coordinate forces and temperature effects. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 4, pp. 442-451. http://geodesic.mathdoc.fr/item/ISU_2015_15_4_a8/

[1] Belostochny G. N., Geometrically irregular shells and plates under the influence of temperature factors, Dr. techn. sci. diss., MAI, M., 1992, 593 pp. (in Russian)

[2] Myltcina O. A., Belostochny G. N., “Thermoelasticity of the reinforced plate under influence of quick change for coordinate of thermal and force factors on the boundary”, Vestnik Moskovskogo aviatsionnogo instituta, 21:2 (2014), 169–174 (in Russian) | MR

[3] Belostochny G. N., Gushchin B. A., Equations of thermoelasticity of shells with step variation in thickness, Dep. in VINITI 14.06.90, no. 3434-B90, Saratov Polytechnic Institute, Saratov, 1990, 11 pp. (in Russian)

[4] Belostochny G. N., Rassudov V. M., Nonstationary equation of thermal conductivity of supported shells, and some solution of the problem of the thermo elasticity of ribbed plats and shallow shells with account of the coherence of temperature and deformation fields, Dep. in VINITI 6.04.84, no. 2080-84, Saratov Polytechnic Institute, Saratov, 1984, 49 pp. (in Russian)

[5] G. V. Uzhik (ed.), Problems of high temperatures in the aerostructures, Izd-vo inostr. lit., M., 1961, 595 pp. (in Russian)

[6] Chernukha Yu. A., “The discrete-continuum model of the temperature fields of ribbed shells”, Mat. metody i fiz.-mekh. polia, 7 (1978), 43–47 (in Russian) (accessed 10, September, 2015) | Zbl

[7] Podstrigach Ia. S., Shvets R. N., Thermoelasticity of thin shells, Naukova Dumka, Kiev, 1978, 343 pp. (in Russian)

[8] V. V. Kabanov (ed.), Calculation of the components of the aircraft structure, Mashinostroenie, M., 1982, 136 pp. (in Russian)

[9] Beloschtochny G. N., “Analytical methods for definition of the closed integrals of singular differential equations of thermoelasticity of geometrically irregular shells”, Doklady Akademii voennykh nauk, 1999, no. 1, 14–26 (in Russian)

[10] Belostochny G. N., Gushchin B. A., “The effective method for solution of linear inhomogeneous differential equations”, Applications strained condition of elastic bodies, Interuniversity scientific collection, Publ. Saratov Pedagogical Institute, Saratov, 1987, 54–58 (in Russian) | MR

[11] Belostochnyi G. N., Zelepukin Iu. V., Some solutions of the problems of incoherent thermoelasticity of the isotopic systems “plate–ribs” on the basis of the continuum and discrete models, Dep. in VINITI 7.01.82, no. 521-82, Saratov Polytechnic Institute, Saratov, 1982, 12 pp. (in Russian)