Geodesic
Impulsive action on the three-layered circular cylindrical shells in elastic media
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 202-209

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The paper considers oscillations of three-layered cylindrical shells filled by an elastic medium. External loads are impulsive. The Kirchhoff–Love's hypotheses are assumed for thin isotropic bearing layers. The work of the transverse shear and thickness reduction in the thick filler is taken into account. Variations in displacements in the transverse coordinate are assumed to be linear. The conditions of continuous displacements are used on the contact boundary. The reaction of the inertia-free elastic filler is described in terms of the Winkler's model. A number of analytical solutions have been obtained and analyzed numerically. 
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     author = {D. V. Leonenko and E. I. Starovoitov},
     title = {Impulsive action on the three-layered circular cylindrical shells in elastic media},
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D. V. Leonenko; E. I. Starovoitov. Impulsive action on the three-layered circular cylindrical shells in elastic media. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 202-209. http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a10/