The stationary transport load acts on the surface of the cavity or on the inner surface of the shell reinforcing cavity. The speed of the load movement is assumed to be subsonic, which corresponds to the modern transport speeds in the underground facilities under study. To describe the motion of a half-space and thick-walled shells, dynamic equations of the theory of elasticity in Lamé potentials are used, and for thin-walled shells, the classical equations of the theory of thin shells are used. Equations are recorded in the moving coordinate system associated with the load.

Keywords: thick-walled shell, stationary load, cavity, mobile coordinate system, Lame potentials.