Action of an Oblique Seismic Wave on an Underground Pipeline

Stationary oscillations of an underground pipeline caused by oblique incidence of a plane seismic wave are investigated. It is shown that an oblique wave can be represented as several longitudinal and transverse waves propagating along the pipeline at higher velocities. The statement of the coupled problem of joint longitudinal vibrations of elastic soil and pipeline is given. The obtained analytical solution of the external problem for the soil leads to a theoretical expression for the force of interaction between the pipeline and the soil, for which only empirical relationships were previously proposed. Solutions for pipelines in supersonic and subsonic modes demonstrate a significantly different nature of their behavior, which should be taken into account in seismic calculations.

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