Abstract: Due to the advantages of high specific strength and high specific stiffness, the composite laminates (shells) are increasingly used partially or even integrally in aerospace, marine and other structures, where the overall dynamics of the structure is of great concern. In this paper, considering a class of monolithic laminated open-ended plate-column-shell functional structures that can be applied to aerospace or shipbuilding, an analytical model capable of solving the section analysis under arbitrary opening parameters, coupling angles and complex boundary conditions is established. Based on the first-order shear deformation theory, the improved Fourier series is used as the trial function, the coupling relationship between the boundary conditions and the adjacent substructures is simulated by the spring model, and the Rayleigh-Ritz method is used to solve the intrinsic frequencies and modes. The analytical results show that the laminate-shell coupled structure model established by the method of this paper can be applied to all kinds of complex boundary conditions, and the accuracy of the method of this paper is proved by the arithmetic examples, which can provide a general model basis for the dynamic analysis and design of the similar complex laminate-shell coupled structures.