Abstract
The free and forced vibration characteristics of uniform and stepped coupled shell structures with arbitrary boundary conditions is investigated in this paper. The coupled structure is comprised of typical conical shell, spherical shell and stepped cylindrical shell. The first-order shear deformation theory (FSDT) is applied to establish the analytical model, together with the domain decomposition method (DDM). Then the Jacobi orthogonal polynomials and standard Fourier series are introduced to express the displacement functions along axial direction and circumferential orientation, respectively. The free and forced vibration characteristics of uniform and stepped conical-cylindrical-spherical shells can be obtained by utilizing Ritz method, besides, the Newmark-β integration method is utilized to accomplish time-domain (transient) analysis of the structure. The reliability of the presented method is validated by comparing with the Finite Element Method (FEM) results, the free and forced vibration characteristics of the structure with different boundary conditions, structural scale parameters and damping parameters are analyzed by presenting several numerical examples, numerous new results obtained by present method may serve as reference values for other researches.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
