Abstract
In this paper, a bending vibrations problem for a circular sandwich plate, which is the top wall of a narrow channel, under the action of inertial excitation was considered. We assumed the channel bottom wall is an absolutely rigid disk mounted on a vibrating foundation and considered the case when the circular sandwich plate was a three-layered disk formed by two metal face sheets and a lightweight incompressible core located between them. Due to the channel axial symmetry, the axisymmetric problem was studied. To describe the dynamics of the circular sandwich plate, we used the equations obtained in the framework of the zig-zag hypothesis for the normal in the plate cross-section. As part of the study, we assumed the channel was filled with a viscous incompressible liquid, and its movement was studied as a creeping one. We had formulated the coupled hydroelasticity problem for the circular sandwich plate under vibration acceleration of the channel foundation. Taking into account the channel narrowness, the dynamics equations for the viscous liquid were solved and the stresses acting on the circular sandwich plate from the liquid side were found. As a result, we obtained the equation for bending hydroelastic vibrations of the circular sandwich plate. The solution of this equation was found by the variables separation method. The hydroelastic response of the circular sandwich plate for the main mode of vibrations was determined. The study of this response was carried out for the sandwich plate with face sheets made of duralumin and a fluoroplastic core. The hydroelastic responses for the sandwich plate and the single-layered plate were compared.
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The study was funded by Russian Foundation for Basic Research (RFBR) according to the projects No. 18-01-00127-a and No. 19-01-00014-a.
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Kondratov, D.V., Mogilevich, L.I., Popov, V.S., Popova, A.A. (2021). Hydroelastic Vibrations of Circular Sandwich Plate Under Inertial Excitation. In: Altenbach, H., Amabili, M., Mikhlin, Y.V. (eds) Nonlinear Mechanics of Complex Structures. Advanced Structured Materials, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-030-75890-5_13
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