Spatial vibrations of a pipeline in a continuous medium under the action of variable internal pressure

Abstract

The spatial vibrations of a pipeline relative to the horizontal axis passing through the supports have been considered. The pipe contains transportable fluid and is surrounded by a viscous continuous medium. The Coriolis inertial forces, the Archimedes buoyant force, the forces of viscous resistance, and the forces related to the acceleration of the lateral motion of the pipe in the surrounding medium have been taken into account. The vibrations of the pipe occur under the action of variable internal pressure that varies according to the harmonic law. The vibration regimes are analyzed with respect to the particular values of the parameters.