In this study, the vibration characteristics of an annular sandwich plate with a lattice core were investigated. The lattice cores were placed on Cartesian coordinates, and four different boundary conditions (fixed-fixed, free-free, fixed-supported, and fixed-free) were used for the outer and inner circumference of the disk. Six lattice cores of different geometries were also analyzed to compare the vibration behavior. In order to predict the natural frequencies of the circular plates, the sandwich plates were considered as equivalent homogeneous continuous plates, and the solution was obtained by using the Rayleigh-Ritz method. Also, finite element analysis (FE analysis) was performed to verify the accuracy of the obtained solution. As a result, it was confirmed that the natural frequencies of the low-order vibration modes agreed well with the present predictions regardless of the boundary conditions, provided that the dimension ratio of the model is within a certain range. On the other hand, as higher-order vibration modes and the difference between the outer and inner circumference of the circular plate become smaller, the error between the theoretical and numerical solutions by FE analysis becomes larger, which is due to the greater influence of shear deformation. Furthermore, a circular plate was modeled by a 3D printer and its natural frequencies were experimentally obtained.
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