The wave finite element (WFE) method is proposed for modeling fluid-filled phononic crystal (PC) cylindrical shells. This numerical approach also is applied to analyze the guided wave propagation and vibroacoustic behavior in periodic cylindrical shells. In this study, the cylindrical shells are assumed to be linear elastic and modeled with 2D flat shell elements, while the inner fluids are assumed to be acoustic and modeled with 3D linear elements. A periodic finite element (FE) mesh assumption is used which enables the description of a whole fluid-filled cylindrical shell in terms of identical subsystems which are composed of structure parts and fluid parts, and which are assembled together along a straight direction. By considering the FE model of a subsystem, a transfer matrix relation can be derived which links the kinematic/mechanical quantities between the right and left cross-sections. Eigenvalues and eigenvectors of the transfer matrix provide the so-called wave modes, i.e., the wave parameters/wave numbers and the wave shapes. Besides, the WFE method is applied to compute the vibroacoustic responses of fluid-filled cylindrical shells of finite length and whose left and right ends are subject to prescribed vectors of displacements/pressures and elastic/acoustic forces. In addition, the WFE method is used to calculate band gaps in elastic phononic crystal plates and cylindrical shells with a periodic distribution of different elastic properties. Band gaps generated by Bragg scattering effect are calculated with the WFE method through different test cases. Results are presented in the form of dispersion diagrams and frequency response functions. The relevance of the WFE method is clearly demonstrated in comparison with different analytical and numerical solutions. Finally, band gap effects in PC cylindrical shells with internal fluid are investigated. Therefore, the potential of WFE method to design periodic systems that can be used to vibration and noise attenuation is highlight.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.