About one design scheme for solving the problem of vibration of reinforced viscoelastic pipe

The work explores the problem of longitudinal oscillation of a three-layer reinforced pipe, taking into account the rheological properties of the pipe material. The problem is solved by the Laplace integral transform method and the solution of the integro-differential equation describing the oscillation is constructed in the form of a series, the first term of which coincides with the solution obtained by the averaging method.