Three-dimensional transient analysis of functionally graded truncated conical shells with variable thickness subjected to an asymmetric dynamic pressure

• A hybrid method composed of Fourier series, layerwise theory and DQM is presented.
• The method is used for 3D transient analysis of FG truncated conical shells.
• The shells have variable thickness subjected to asymmetric dynamic pressure.
• Effects of different parameters on dynamic behavior of FG conical shell are studied.
• This method can be used as a benchmark for asymmetric transient analysis of FG shells.

A hybrid method based on the three-dimensional (3-D) elasticity theory is developed for transient analysis of functionally graded (FG) truncated conical shell with variable thickness, subjected to asymmetric dynamic pressure. The FG shell is functionally graded in the radial direction. A hybrid method composed of the layerwise theory, differential quadrature method (DQM), and Fourier series expansion is employed. A Fourier series expansion is used for the displacement components and dynamic pressure in the circumferential direction. Then the layerwise theory across the thickness direction in conjunction with Hamilton's principle is employed to obtain equations of motion and boundary conditions. Eventually, the DQM is implemented to discretize the governing equations in both spatial and time domains. This research shows some interesting results that can be helpful for design of FG conical shells.