This paper presents a dynamic analytical model of periodic corrugated sandwich structures by using the dynamic stiffness （DS） method. In the model， the coupled structure is decoupled into several open cylindrical shells and rectangular plates， and then based on Kirchoff’s thin plate theory and Flügge’s thin shell theory， the DS matrices of substructures under the condition of simply supported on the opposite side are derived. According to the continuity condition and equilibrium conditions on the coupling bound? ary， the coordinate transformation matrix of each substructure is derived， and the global DS matrices of the periodic structure are assembled using a similar strategy to the finite element method （FEM）. Based on the assembled global DS matrices， the vibration characteristics for the three types of periodically corrugated sandwich structures are calculated， and the results are compared with those from FEM solutions. The results show that the presented model can obtain accurate calculation results with fewer degrees of freedom. In addition， the effects of different core styles and geometric parameters on the band gap characteristics of the periodic sandwich structure are also explored.