Dynamic Stability of Pipelines with Fluid Flow

Abstract

The classical problem of stability of a pipeline section with fluid flow is considered in this paper. The equation of perturbed motion is solved by a method of expansion by forms of natural oscillations with further application of the Bubnov — Galerkin method. The boundary of the stability domain on the plane of fluid flow parameters is determined using the Raus — Hurwitz criterion for non-conservative stability problems. For fixed values of the relative mass, the trajectories of characteristic indicators are constructed as functions parametrically dependent on the velocity of the fluid flow. The frequency of pipeline oscillations in the event of loss of stability is determined by the flutter type. Flutter modes at various points of the boundary of the stability domain are examined. Flutter modes are represented by a beam of curved axes of the pipeline at discrete points of time throughout one period.