Vasylevskyy Y. Nonlinear dynamics of pipeline with flowing liquid.

We developed nonlinear model for investigation of pipeline dynamics with high-speed liquid motion, which is aimed at investigation of transient modes of the system motion in a vicinity of critical velocity. On the basis of the developed model we conducted investigation of pipeline dynamics, investigated the system behavior for loss of rectilinear shape of pipeline in a vicinity of critical velocity for different laws of variation of liquid velocity and pressure. We carried out analysis of energy redistribution between of vibration of the system. Potential of usage of different high-speed modes of liquid flow for decreasing of negative influence of approach to the critical velocity was analyzed. On investigation of typical modes of motion we discover, that the Coriolis forces of inertia and forces of internal pressure in liquid, which determine supplementary variation of critical velocity, are determinative for formation of dynamical processes.