عنوان مقاله [English]
The response of the underground pipelines to wave propagation is influenced by many factors, because of large geometrical dimensions of pipelines, wave characteristic lay open to the change of ground motion phase and geotechnical conditions for different points alongside the pipeline axis, provides technical hitches for an efficient solution. Basis on three-dimensional theory of elasticity, in this paper an analytical formulation is presented for vibration analysis of a buried pipeline to study stresses and deformations of an underground pipeline. The succeeded governing equation is applicable for an infinite pipeline which surrounded by an enormous soil medium that lay open to an incident wave plane. The pipe-soil interaction is modeled with concerning to the occurrence slip between pipe and soil medium and in addition the Coulomb frictional-force is supposed equal to the viscous damping on the interface. To investigate the unknown parameters such as, slippage, variation of wave angle
as well as damping coefficient of bond, the succeeded algebraic equation is solved analytically. With regarding the elastic limitation, some numerical examples are provided to show the application of the presented model and
demonstrate the prediction of the critical value which may cause yielding in the pipe for incident-wave amplitude. The radial and shear stresses for the inside and outside diameter of the pipe are also evaluated in order to show the validity of the results. However, comparisons with some available FEM models display a respectable correlation for stress distribution on a cross sectional of buried pipeline. The effect of some parameters, such as porosity of the soil, thickness of the pipe and also perfect and imperfect bond between soil and buried pipe are discussed and demonstrated with relative graphs.