Vibration of a Pipeline with Liquid Under Combined Vibration Perturbations

Abstract

We study the influence of combined vibration perturbations on the vibration of a pipeline with flowing liquid. The study is carried out by using a finite-dimensional nonlinear model of a pipeline whose foundation suffers vibration perturbations in the longitudinal or transverse direction, or in both directions. We show how the combined perturbation of vibrations affects the dynamic stability of the system. The main attention is focused on the behavior of the system in a vicinity of the state where the rectilinear shape of the pipeline loses its stability.