Dynamic analysis of functionally graded truncated conical shells subjected to asymmetric moving loads

• The analysis of FG conical shells under ring-shaped moving loads is presented.
• Both symmetric and asymmetric moving loads are considered.
• The problem is formulated based on the first order shear deformation theory.
• The finite element and Newmark methods are used to solve the governing equations.
• The effects of different parameters on the response of the FG shells are studied.

The dynamic behavior of functionally graded (FG) truncated conical shells subjected to asymmetric internal ring-shaped moving loads is studied. The material properties are assumed to have continuous variations in the shell thickness direction. The equations of motion are derived based on the first-order shear deformation theory (FSDT) using Hamilton׳s principle. The finite element method (FEM) together with Newmark׳s time integration scheme is employed to discretize the equations of motion in the spatial and temporal domain, respectively. The formulation and method of solution are validated by studying their convergence behavior and carrying out the comparison studies in the limit cases with existing solutions in the literature. Then, the influences of material graded index, radius-to-length ratio, semi-vertex angle, thickness, boundary conditions and moving load velocity on the dynamic behavior of the FG truncated conical shells are studied. In addition, the difference between the responses of the FG shells under symmetric and asymmetric loadings is compared.