The aim of the research work is to determine dynamic stability of underground pipelines located in water saturated soil under the action of forces in the form of rapid or cyclic longitudinal loadings and the conditions of the pipeline occurs in an unstable state which will be the cause of its destruction.
Scientific novelty of the research work consists in the following: a method for calculating the stability of underground pipelines located in the water saturated soils using the kinematic interaction model in the system “pipe - soil” is developed; a calculation method for determining the displacements depending on time and also formulas of amplitude and frequency dependencies arc developed which suitable for their direct application; a method for solving the problem of the stability of a geometrically nonlinear underground pipeline located in the water saturated soil is developed for the general case when longitudinal and transverse displacements arc taken into account together; a method for the numerical calculation of stress-strain state of the underground pipeline with the mass at the end (manhole) using the kinematic interaction model in the system "pipeline-soil is developed.