Hydro-elastic Vibration of Partially Liquid-filled or Partially Liquid-surrounded FGM Cylindrical Containers

Vibration characteristics of partially liquid-filled or partially liquid-surrounded functionally graded cylindrical shells are investigated in this paper. Using Rayleigh-Ritz energy method and Love’s shell theory, eigenvalue equation of the problem is carried out, and the polynomial for natural frequencies of such shells is obtained. The external work by the hydrodynamic pressure, which is introduced by liquid sloshing, is taken into account in the energy function. Natural frequencies of two types of FGM cylindrical shells are investigated and graphically presented.