Unified series solution for thermal vibration analysis of composite laminated joined conical-cylindrical shell with general boundary conditions

We establish a unified series solution for the free, steady-state, and transient vibration analysis of composite laminated joined conical-cylindrical shells under thermal environment. Additionally, artificial spring technology was used to deal with the general boundary conditions and continuity conditions for the common edge of the joined conical-cylindrical shell. The spectro-geometric method (SGM) and the first-order shear deformation theory (FSDT) were employed to derive the dynamic equation of motion. Subsequently, the displacement admissible functions were expressed in a general form comprising the Fourier sine and cosine terms to manipulate the arbitrary boundary conditions without pre-satisfying them. Moreover, the convergence and solution efficiency of the proposed approach was demonstrated by comparison with the finite element method solution. Furthermore, the influence of critical factors on the vibration behaviors of the coupled shells was investigated, with findings that would aid in their structural design.