Free vibration analysis of combined composite laminated cylindrical and spherical shells with arbitrary boundary conditions

In this paper, the analytical model is established on base of multi-segment partitioning strategy and first-order shear deformation theory. The displacement functions are made up of the Jacobi polynomials along the axial direction and Fourier series along the circumferential direction. In order to obtain continuity conditions and satisfy arbitrary boundary conditions, the penalty method about spring technique is adopted. The solutions about free vibration behaviors of combined composite laminated shell were obtained by approach of Rayleigh-Ritz. The convergence study and numerical verifications are carried out. Results show that the proposed method has a good stable and rapid convergence property.

Automated summary

The analytical model for composite laminated shell presented in this paper was established based on a multi-segment partitioning strategy and first-order shear deformation theory. Displacement functions were formulated using Jacobi polynomials and Fourier series, and the Rayleigh-Ritz method was employed to obtain solutions for free vibration behaviors. The proposed method demonstrated good stable and rapid convergence properties, as confirmed by convergence studies and numerical verifications.