The present paper deals with methods aimed at developing calculation models of sound insulation of various cylindrical shells, making it possible to estimate the shell-radiated noise levels. The proposed methodology is based on the mathematical analysis of the cylindrical shell as an element that is subordinated to the equation of dynamic theory of elasticity of thin-walled constructions of variable rigidity. The work provides the corresponding controls of dynamic theory of elasticity in partial derivatives with variable coefficients. Theoretical research and calculations carried out show that sound insulation under analysis at low frequencies is quite high. A slight reduction of sound insulation at high frequencies conditioned by wave processes is also considered.