Abstract:

In this paper, a mathematical model has been developed to study the walls longitudinal vibrations of a narrow annular channel filled with a pulsating viscous fluid. The channel walls are formed by two rigid coaxial cylinders flexibly restrained at the channel ends. The fluid movement in a narrow annular channel is considered as creeping one due to the pressure pulsation at the channel end. The distribution laws of hydrodynamic parameters for the fluid annular layer and the channel walls movement laws were found. The amplitude frequency responses for the walls of a narrow annular channel were constructed and their behavior was simulated.

Keywords: narrow annular channel, hydroelastic oscillations, viscous fluid