Influence of Flow Velocity Variability on Pipeline Stability Boundaries

Abstract

The paper considers parametric oscillations of a classical system under nonconservative loading—a flexible pipeline with a flowing liquid. The parametric effect on the system is determined by the variability of the fluid flow rate. The stability of the rectilinear form of the pipeline equilibrium according to the Floquet–Lyapunov theory is investigated by the monodromy matrix method. The main focus is the study of the influence the characteristics of the parametric effect have on the stability boundary position of the pipeline, assuming a harmonic deviation of the flow rate from a certain constant, in particular, the amplitude and frequency.