In this work, its application's theoretical and methodological foundations are developed for calculating the dynamic characteristics of shell structures that function independently or are parts of a complex mechanical system as a substructure. An important stage in the study of the dynamic behavior of the complex multiply connected shell structure under consideration is the determination of the dynamic characteristics of the structure, which include natural frequencies and modes of vibration, amplitude-phase frequency characteristics, dynamic coefficients of influence, dynamic stiffness and the coefficient of dynamicity. A solution method, an algorithm, and a program for calculating dynamic problems of structurally inhomogeneous shell systems have been developed. The developed method makes it possible to determine the dynamic characteristics of structurally inhomogeneous shell systems, numerical results are obtained, and graphs of the change in vibration frequencies depending on the inhomogeneity parameter are plotted.