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The article presents an analysis of the dynamic response of an underground main pipeline under the action of a longitudinal wave, propagating in soil along the pipe. It is assumed that the elastic pipe has a finite length. A linear viscoelastic model of the "pipe-soil" system interaction is considered. The influence of a pulse in the form of a triangle on the deformed state of an underground main pipeline is investigated. The article presents a comparative analysis of the results obtained for some values of the coefficients of elastic and viscous interaction, the propagation velocity, and the duration of the pulse. In the case of elastic interaction of the "pipe-soil" system, the reflection of the wave propagating in the underground pipeline on the boundaries of the pipeline when it coincides with the wave propagating in the soil leads to an increase in the maximum deformation of the underground pipeline, the value of deformation can double. The viscosity coefficient of interaction at the pipe-soil system contact leads to the wave front attenuation in the underground pipeline. For soils with the coefficient of viscous interaction higher than 100 kN∙s/m2, this leads to complete attenuation of the bursts at the wave front in the pipeline. The influence of the wave propagation in soil on the deformation values at the wave front was also studied.

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This paper analyzes the dynamic response of a wave propagating to the soil horizontally through a pipe. That is, the state considers a linear viscoelastic model of the interaction of the "pipe-soil" system. This problem is solved using the numerical method of differential equations. The longitudinal wave in the ground is taken as a sinusoid. And also, in the article, we will compare the comparative analysis of the results for some values of the coefficients of elasticity and viscosity of taste, propagation velocity, and pulse duration. In the current flow of the "pipe-soil" system, reflections of waves propagating in an underground pipeline at the boundaries of the pipeline, usually propagating in soils. This leads to a change in the shape of the underground pipeline, the value of which can double. The viscosity coefficient of interaction at the "pipe-soil" system contact leads to attenuation of the wave front in the underground pipeline. For soils with values of viscous interaction coefficient more than 100 kN·s/m2, this may lead to complete attenuation of the bursts at the wave front in the pipeline. The ratio of steps along the coordinate and time equal to the propagation of waves in the pipeline, obtaining results that coincide with the exact nature.