Spatial Vibrations of a Pipeline with Elastically Deflecting Support under the Action of Internal Shock Pressure

The spatial vibrations of a pipeline and the fluid inside it are considered with respect to the horizontal axis passing through supports under the action of internal shock pressure. The coupling between the internal pressure, curvature variation, and deformation of the pipeline circumference is taken into account. The bending and torsional deformations of the pipeline are divided into two sequential stages: inertial and inertial-elastic. The first support is rigid and fixed, and the second support may translate frictionlessly in the horizontal direction. Numerical modeling is performed. The analysis of the calculation results is given for special parameter values. The approximated analytical solutions are also presented.