The problem of the action on the inner surface of an infinitely long multilayer circular cylindrical shell, uniformly moving along its axis, has been solved. The load acting on the shell is periodic along the axis of the shell. The shell is located in an elastic space (medium) considered in a moving coordinate system linked to the load. The motion of the medium and shell layers is described by the dynamic equations of the theory of elasticity in the Lamé potentials. The method of partial separation of variables is used to solve this problem. The potentials are represented as Fourier-Bessel series, and the unknown coefficients are determined from the boundary conditions. Our approach differs from other studies dedicated to multilayer shells, which rely on approximate equations of classical shell theory to describe the motion of each layer when solving the problem. We have obtained an exact solution to the problem. By utilizing this solution, we examine the stress-strain state (SSS) of the homogeneous concrete shell encompassing a rock mass subjected to a uniformly moving axisymmetric sinusoidal load at various velocities. Analysing the computed outcomes reveals that as the load velocity escalates, the magnitudes of the maximum radial displacements, maximum axial stresses, and maximum tangential normal stresses intensify at the points on the surface of the strengthened shell cavity, enduring the greatest pressure. As the distance from the cavity surface augments, the influence of the dynamic impact caused by the moving load on the medium diminishes.
Key words: elastic space, medium, cylindrical shell, tunnel, pipeline, moving periodic load, displacement, stress.
