Mathematical modeling of highly viscous liquid dynamic interaction with walls of channel on elastic foundation

摘要

The bending walls oscillations of slit channel set on Winkler foundation under the influence of highly viscous pulsating liquid layer are investigated. The setting and solving hydroelasticity problem made it possible to find analytical expressions of channel walls deflection and pressure in liquid, the functions of deflection amplitude distribution and liquid pressure along the channel are constructed as well. The obtained results allow investigating dynamic processes, conditioned by constructions elastic elements interaction with viscous liquid in hydrodrives, power units and devices.