This chapter focuses on the vibration of conical-cylindrical shells under spinning conditions and proposes a general method for the free vibration of spinning conical-cylindrical shells, which is applicable to arbitrary boundary conditions and locally elastic foundation support. The research adopts the Donnell shell theory, comprehensively considering rotational effects such as centrifugal force, Coriolis force, and initial circumferential tension. By introducing artificial spring technology, a continuous and coordinated connection between the conical shell and the cylindrical shell is achieved, and it can effectively simulate any boundary conditions. For cases where the structure may be supported by elastic foundations in full or partial form, the Pasternak model is used for description. In terms of solution, orthogonal polynomial series are selected as the allowable functions, and the frequency equations of the system are derived based on the Rayleigh–Ritz method. Through typical examples, the calculation results of this method were compared with those in existing literature and finite element results, verifying the effectiveness and accuracy of the proposed method. The analysis framework established in this chapter lays the foundation for subsequent research on the vibration of spinning composite shells under complex conditions such as thermal environment and functionally graded materials, and also provides a theoretical tool for the design and dynamic assessment of related spinning thin-walled structures.