Abstract
The mathematical model for three-layer plate sagging oscillations, forming the wall of slit channel is worked out. The mathematical model presents non-linear connected system, consisting of: Navier-Stocks equations and continuity equation for liquid; the dynamics equations of three-layer plate with incompressible filler. The boundary conditions are presented by: the conditions of liquid adhesion to channel walls; the condition of free leakage of liquid at channel butt ends; the conditions of simply supported edge for three-layer plate. The mathematical linearization is made by means of perturbation method. The resulting problem was solved by means of the plate displacements assigned forms method for the stationary harmonic oscillations.
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