Interaction dynamics of pulsating viscous liquid with the walls of the conduit on an elastic foundation

摘要

Abstract Bending oscillations of walls of conduit on Winkler foundation under the influence of pulsating flow of viscous liquid have been studied. The statement and solution of hyper-elasticity problem have allowed analytical expressions for channel wall bends and pressure in liquid to be defined, as well as the distribution functions for bend amplitudes and pressures along the channel to be plotted. The performed calculations showed the significant impact of taking into consideration the elastic compliance of the channel foundation on the bend amplitude of channel walls and pressure in the channel. The obtained results present the possibilities of studying the dynamic processes conditioned by the interactions of elastic structural elements with viscous liquid in hydraulic drives, assemblies, and devices.