Modeling on Vibration of Sandwich Plate Possessing a Compressible Core and Interacting with Viscous Fluid

Abstract

The paper proposed a mathematical model for analyzing the dynamic response of a three-layered channel wall with a compressible core. The narrow channel formed by two parallel walls is considered. The bottom channel wall was a simply supported three-layered plate. The upper channel wall was considered to be absolutely rigid. The channel was filled with a viscous incompressible liquid with pulsating pressure due to a given harmonic law of pressure pulsation at the channel edges. Longitudinal and transverse vibrations of the three-layered channel wall were studied. The dynamic response of the three-layered channel wall was determined on the basis of hydroelastic oscillations problem solution. The frequency-dependent distribution functions of longitudinal and transverse elastic displacements amplitudes of the three-layered channel wall were constructed. These functions make it possible to obtain amplitude-frequency characteristics of the three-layered channel wall in fixed channel cross-sections. The study was supported by Russian Foundation for Basic Research (projects № 18-01-00127-a and № 19-01-00014-a).