Open AccessModeling on Vibration of Sandwich Plate Possessing a Compressible Core and Interacting with Viscous Fluid
Author(s) -
L. I. Mogilevich,
В. С. Попов,
A. V. Christoforova
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/753/4/042005
Subject(s) - compressibility , channel (broadcasting) , transverse plane , mechanics , vibration , core (optical fiber) , amplitude , viscous liquid , harmonic , materials science , physics , structural engineering , acoustics , engineering , composite material , telecommunications , optics
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).