Three dimensional vibration analysis of a buried pipeline with slip conditions

Based on the three-dimensional (3D) elasticity theories, an analytical solution for the infinite pipeline surrounded by the infinite soil medium subjected to an incident plane wave is derived. The Coulomb frictional force is applied at the pipeline–soil interface to represent the slip condition between the pipeline and the soil medium. This applied interface interaction can be considered as the viscous damping with some considerations. The normal and shear stress distributions along the cross-section of the pipeline are obtained by solving the obtained equations analytically. Furthermore, the superposition and the corresponding principles are used to obtain the von Misses strains. The critical and maximum amplitude ranges of the incident wave for which slipping and yielding, respectively, occur are estimated. The solutions are presented for ranges of soil densities and pipe thicknesses with perfect/imperfect bonds and different incident wave angles.

► We derive a solution for the infinite pipeline surrounded by the soil medium under incident wave.
► We consider the frictional force at the pipeline–soil interface to show the slippage between them.
► We estimate the amplitude ranges of the incident wave for which slipping and yielding occur.
► We examine changes in the stresses through the interface for various characteristics of soil and pipe.
► These stresses are impressed by soil density and pipe thickness with perfect/imperfect bonds and wave angle.