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

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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},
     publisher = {mathdoc},
     volume = {153},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a9/}
}
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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/