Dynamic Modeling and Traveling Wave Vibration Analysis of FGP-GNPRC Bolt-Connected Conical–Cylindrical Shells with Arbitrary Boundary Conditions in the Thermal Environment

Considering the instability of the shell structure in a thermal environment, this paper presents a generalized approach to deal withthermal-mechanical coupling vibration properties of rotating functionally graded porous-graphene nanoplatelet reinforced composite (FGP-GNPRC) bolt-connected conical–cylindrical shells. A discontinuous circular arc connection is constructed to describe the bolt connection by improving the full-circle continuous artificial spring method. Meanwhile, arbitrary boundary conditions of the shell are derived using the artificial spring technology. The effective material properties of the FGP-GNPRC are obtained by using the Halpin–Tsai micromechanical model and open-cell body theory. The intrinsic relationships of the shell are derived through the first-order shear deformation theory (FSDT). The thermal strain caused by temperature difference is introduced into the energy equation using the Rayleigh–Ritz method, and admissible displacement functions are developed by Chebyshev polynomials. Finally, the effectiveness of the proposed method is verified by comparing numerical examples with the results from existing literature and the finite element method (FEM). Meanwhile, the influence of various parameters on the traveling wave frequency of the FGP-GNPRC bolt-connected conical–cylindrical shell is analyzed, with a particular focus on thermal-mechanical coupling vibration behaviors. The results indicate that the proposed method can flexibly adjust geometric parameters, material properties, bolt parameters, rotation speed, temperature variations, and so on, which can efficiently guide the dynamic design of rotating composite shell structures in the thermal environment.