Abstract
Free vibrations of a three-layer cylindrical circular shell in an elastic medium are considered. It is assumed that the bearing layers satisfy the Kirchhoff-Love hypotheses. The work of transverse shear and the compression over the thickness are taken into account in the thick filler. It is assumed that the variations in the displacements are linear in the transverse coordinate. The displacement continuity conditions are used on the boundaries of contact. The Winkler hypothesis is accepted for the elastic inertialess environment. The variation in the natural vibration frequencies depending on the rigidity characteristics of the shell-environment system is studied.
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