Study on vibration of functionally graded cylindrical shells subjected to hydrostatic pressure by wave propagation method

The vibration of submerged functionally graded (FG) cylindrical shell under condition of a uniform external hydrostatic pressure is presented. Based on the Flügge's shell theory and wave propagation method, the equation of motion of the coupled system with the fluid effect is derived. By means of conversion switch on axial wave number, the coupled frequency of submerged FG cylindrical shell with various boundary conditions is obtained. This present analysis is validated by comparing results with those in the literature. The vibration characteristics of FG cylindrical shells subjected to hydrostatic pressure are examined. The effects of constituent materials, ratio of length to radius and boundary condition on the natural frequencies of submerged FG cylindrical shell are illustrated by examples.