Three-dimensional transient analysis of functionally graded cylindrical shells subjected to asymmetric dynamic pressure

Abstract

This paper presents an efficient and accurate numerical method based on the three-dimensional (3-D) elasticity theory for the transient analysis of functionally graded (FG) hollow cylindrical shells subjected to asymmetric dynamic pressure. The Fourier expansion is employed to describe the displacement components and dynamic pressure in the tangential direction. In addition, the layerwise theory is used to accurately account for the displacement components in the radial direction. The equations of motion and the related boundary conditions are derived using Hamilton’s principle. Then, differential quadrature method (DQM) is implemented to discretize the resulting equations in the both spatial and time domains. The convergence, accuracy and performance of the present method are established through the convergence study and comparison with available results in the literature. Also, the effects of different parameters such as thickness-to-inner radius ratio and boundary conditions on the dynamic behavior of hollow FG cylinders are investigated. The present method can accurately predict transient displacement and stress with less computational efforts.

Keywords

• asymmetric dynamic pressure
• cylindrical shells
• differential quadrature method
• functionally graded materials
• layerwise theory