To the problem of determining the natural frequencies of vibrations of a pipeline
We consider the problem of determining the natural frequencies of pipeline vibrations, the dynamics of which is described by a linear partial differential equation. The approximate method proposed for solving the problem is based on the application of the Galerkin method. Algebraic equations are obtained for the vibration frequency in the second and third approximations. The mathe-matical model proposed to describe the dynamics of the pipeline allows one to take into account the delay in the reaction of external communication.