Free vibrations of fluid-filled orthotropic cylindrical shells

Based on three-dimensional elastic theory, three components of displacement are expanded by orthotropic series. A second-order ordinary differential equation set is then obtained that can be solved by Frobenius Method. Considering the effect of the fluid, we can get the frequency equation of nonaxisymmetric free vibration of orthotropic fluid-filled cylindrical shell with arbitrary constant thickness. Some examples are illustrated to compare results with those based on shell theory.