Free vibrations of a thin-walled curvilinear section of an oil-trunk pipeline during ground laying

In this article authors obtained solutions to determine the ground curved sections free vibrations of thin-walled large-diameter pipelines with a liquid flow, based on geometrically nonlinear version semi-momentless toroidal shells medium bending theory by V.Z. Vlasov and V.V. Novozhilov. The pipeline is shell, design scheme presented in form half torus. Angle β = 1800. shell laid an elastic foundation makes contact along narrow strip. problem soil pressure influence strip solved as problem, using Fourier's series impulse function. exposed cooperative effect internal operating pressure, flowing foundation, changes geometric characteristics. Motion equations middle surface are taking into account mechanical characteristics, all components material inertial forces. hinged fastening ends taken limiting condition. Using assumptions, displacements longitudinal circumferential directions obtained. solution determining comes down solving AB matrix values. make it possible frequencies at various wavenumbers values directions, also contribution, bed coefficient, characteristics frequencies.