In this paper, based on the exact solution of vibration governing equations and the relationship between the displacements and forces on the boundaries, the dynamic stiffness method is proposed to analyze the vibration characteristics of aconical-cylindrical coupled structure with arbitrary boundary conditions. By changing the semi-vertex angle, the conical shell can degenerate into an annular plate, which can be used to simulate ribbed structures. The conical-cylindrical combined shell structure can alsodegenerate into an annular plate-cylindrical shell coupled structure or a cylindrical-cylindrical coupled structure. During the assembly process, it is necessary to transform the dynamic stiffness matrices of each substructure shells into a global coordinate system, utilizing the displacement continuity and internal force balance conditions on the connecting edges of the substructure shells. The correctness of the method proposed in this article has been verified through finite element models and experimental results. This article studies the influence of semi-vertex angle and arbitrary elastic boundary parameters on the natural frequencies of combined shells under different circumferential modal numbers. The research results can provide guides for the acoustic design of combined shell structures.
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