Phononic crystals with periodic structures have attracted extensive attentions, since the vibration wave propagation characteristics can be utilized for vibration control. The vibration of periodic composite cylindrical shells containing or surrounded by fluid is studied in this article. Thin shell theory and non-viscous incompressible fluid equations are applied during the modeling, and the dynamic stiffness method (DSM) is developed for solving the vibration characteristics of periodic structures. The discretization of elements is reduced to a minimum by the use of DSM, which gives rise to improvements on computation efficiency. Results show that the inclusion of fluid would narrow the frequency ranges of propagation wave bands, especially in high frequency. The unit length and material property may also affect the propagation wave bands. This periodic model may provide references for the further vibration control of cylindrical structures.
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