Effects of boundary conditions, cone angle and core material on free vibration of the joined sandwich conical-conical shell

In this paper, free vibration of the joined sandwich conical-conical shell is investigated by using differential quadrature method (DQM). It is assumed that the conical shell is truncated. The core of sandwich conical-conical shell is made from the four different types of materials such as Polyether ether ketone (PEEK), Polycarbonate (PC), Solid polypropylene (SPP) and high density polyimide foam (HDPF), and Aluminum is supposed for material of inner and outer skin layers. The first-order shear deformation shell theory (FSDT) is adopted to formulate the theoretical model and governing equations of motion are derivated by Hamilton’s principle. The governing equations of motion, the boundary conditions of the two ends of the shell and the continuity conditions at the interface section of shell segments, are discretized by means of the DQM. Then, eigenvalue problem, and, consequently natural frequencies are achieved. The effects of thickness, length of the shell, cone angle, material of the core and boundary conditions on natural frequencies are investigated. To verify the accuracy of this method, comparisons of the present results with results available in the open literature and Abaqus software are performed.