NATURAL VIBRATIONS OF THE THREE-LAYERED CYLINDRICAL SHELLS IN THE ELASTIC PASTERNAK’S MEDIUM

Leonenko D.V., Doctor of Physical and Mathematical Sciences, Associate Professor, Professor of the Department “Building mechanics”, UO “BelSUT”, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

The natural vibrations of the three-layered cylindrical shell are considered. Love’s hypotheses are accepted for the thin isotropic bearing layers. The work of the in-plane shear, compression over thickness and variations in displacements are taken linear along the transverse coordinate for the thick filler the conditions of displacement continuity are not used on the contact boundaries. The deformations are small. Inertial medium is described by a Pasternak’s model. The natural frequencies of the "shell - medium" are investigated as dependent on characteristics of the medium.

• Pleskachevsky Ju.M., Starovojtov Je.I., Leonenko D.V. Mehanika trehslojnyh sterzhnej i plastin, svjazannyh s uprugim osnovaniem [Mechanics of sandwich rods and plates, connected with elastic base]. Moscow, FIZMATLIT, 2011. 560 p.
• Leonenko D.V. Radial'nye sobstvennye kolebanija uprugih trehslojnyh cilindricheskih obolochek [Radial natural vibration of the elastic three&layered cylindrical shells]. Mehanika mashin, mehanizmov i materialov [Mechanics of Machines, Mechanisms and Materials], 2010, no. 3(12), pp. 53-56.
• Golovko K.G., Lugovoj P.Z., Mejsh V.F. Dinamika neodnorodnyh obolochek pri nestacionarnyh nagruzkah [Dynamics of heterogeneous shells under transient loads]. Kiev, Kievskij un-t, 2012. 541 p.
• Galerkin B.G. Sterzhni i plastinki. Rjady v nekotoryh voprosah uprugogo ravnovesija sterzhnej i plastinok [Rods and plates. Rows in some areas of elastic equilibrium of rods and plates]. Vestn. Inzhenerov [Engineers journal], 1915, vol. 1, pp. 897-908.
• Vlasov V.Z., Leontev N.N. Balki, plity, obolochki na uprugom osnovanii [Beams, plates, shells on elastic foundation]. Moscow, Gos. izd-vo fiz.-matematich. lit-ry, 1960. 491 p.