Abstract
The article considers a cylindrical two-layer shell subjected to a longitudinal compressive force. An inhomogeneous cylindrical two-layer shell of finite length, consisting of a steel pipe and a protective reinforced concrete layer, was adopted as the calculation scheme. Based on the use of the assumptions of the theory of shells by Vasiliy Z. Vlasov, the equation of motion of the shell in efforts and displacements was obtained. A system of differential equations has been formed and solved taking into account the assumptions of this theory of cylindrical shells, the solution for determining the frequency of free vibrations taking into account the effect of internal working pressure, inhomogeneous ground pressure on the pipe wall and a longitudinal compressive force has been obtained.
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