Free vibrations of thin-walled semi-underground main gas pipelines of large diameter, with the attached ground mass

In this paper, we solve the problem of free bending vibrations of the main thin-walled large-diameter pipeline, corresponding semi-underground laying type. As a result, vibration process involves a pipeline to move the surrounding ground, which significantly affects the frequency free vibrations. The values of the natural frequencies of the pipeline will depend on the characteristics of the ground, and it’s mass. The decision takes into account the impact of the attached ground mass on the free vibration frequency based on the geometrically nonlinear version of semi-momental theory of average bending cylindrical shells.