Geodesic
Investigation of contact interaction of a rectangular plate with a hard cover plate under harmonic vibrations
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 98-111 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The article is devoted to the determination of the stresses arising between a rectangular plate and a hard cover plate, and the deflection of the median surface of the plate under steady forced vibrations. An analytical solution of the problem is obtained, and numerical experiments are made. It is investigated how accounting of the transverse shear deformation and the rotational inertia of the plate, the position and massiveness of the cover plate, and the boundary conditions influence the distribution of the contact stresses and the spectrum of natural frequencies.
Keywords: contact problem, influence function (Green's function)
Mots-clés : vibrations. 
@article{UZKU_2011_153_4_a9,
     author = {Yu. G. Konoplev and S. A. Kuznetsov and A. A. Sachenkov and M. A. Tochkasova},
     title = {Investigation of contact interaction of a~rectangular plate with a~hard cover plate under harmonic vibrations},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {98--111},
     year = {2011},
     volume = {153},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a9/}
}
TY  - JOUR
AU  - Yu. G. Konoplev
AU  - S. A. Kuznetsov
AU  - A. A. Sachenkov
AU  - M. A. Tochkasova
TI  - Investigation of contact interaction of a rectangular plate with a hard cover plate under harmonic vibrations
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2011
SP  - 98
EP  - 111
VL  - 153
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a9/
LA  - ru
ID  - UZKU_2011_153_4_a9
ER  - 
%0 Journal Article
%A Yu. G. Konoplev
%A S. A. Kuznetsov
%A A. A. Sachenkov
%A M. A. Tochkasova
%T Investigation of contact interaction of a rectangular plate with a hard cover plate under harmonic vibrations
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2011
%P 98-111
%V 153
%N 4
%U http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a9/
%G ru
%F UZKU_2011_153_4_a9
Yu. G. Konoplev; S. A. Kuznetsov; A. A. Sachenkov; M. A. Tochkasova. Investigation of contact interaction of a rectangular plate with a hard cover plate under harmonic vibrations. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 98-111. http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a9/

[1] Kuznetsov S. A., Tochkasova M. A., “Kontaktnoe vzaimodeistvie plastiny i shtampa pri garmonicheskikh kolebaniyakh”, Trudy Matem. tsentra im. N. I. Lobachevskogo, 36, Izd-vo Kazan. matem. o-va, Kazan, 2007, 125–128

[2] Volmir A. S., Nelineinaya dinamika plastinok i obolochek, Nauka, M., 1972, 432 pp. | MR

[3] Artyukhin Yu. P., Karasev S. N., “Primenenie utochnennoi teorii obolochek pri reshenii kontaktnykh zadach”, Teoriya obolochek s uchetom poperechnogo sdviga, Izd-vo Kazan. un-ta, Kazan, 1977, 132–153

[4] Popov G. Ya., Tolkachev V. M., “Problema kontakta zhestkikh tel s tonkostennymi elementami”, Izv. AN SSSR. MTT, 1980, no. 4, 192–206 | MR

[5] Kuznetsov S. A., “Neosesimmetrichnaya kontaktnaya zadacha dlya tonkoi plastiny, lezhaschei na uprugom osnovanii, pri vnetsentrennom polozhenii shtampa”, Mekhanika sploshnykh sred, Tez. dokl. Resp. nauch.-tekhn. konf., Nab. Chelny, 1982, 105