Phononic crystals are widely researched and applied nowadays. Their dynamical performance need to be investigated for the purpose of design and optimization. In this paper, wave finite element method (WFEM) is employed to acquire the vibration band gaps of one-dimensional phononic crystals. Because of the periodic characteristics of the phononic crystals, only one unit cell needs to meshed, the FE model in which the mass and stiffness matrices are typically extracted using a conventional FE package. Band gaps can be obtained from the eigenvalues of the segment transfer matrix, other properties of the structures are also derived from the formulation. Some numerical results are presented and compared with theory results, a good agreement is observed. This work provides an effective technique to analyse the dynamical characteristics of metamaterial structures.
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