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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2015 Volume 15, Issue 2, Pages 202–209 (Mi isu583)

This article is cited in 5 papers

Mechanics

Impulsive action on the three-layered circular cylindrical shells in elastic media

D. V. Leonenko, E. I. Starovoitov

Belarusian State University of Transport, 34, Kirova st., 246653, Gomel, Belarus

Abstract: 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.

Key words: vibrations, three-layered cylindrical shell, natural frequencies, local load.

UDC: 539.374

DOI: 10.18500/1816-9791-2015-15-2-202-209



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