The idea of the phononic crystals is introduced in the design of thin rectangular plates with two-dimensional periodic structure. Flexural wave band structures of such a plate with infinite structure are calculated with the plane-wave expansion method, and the ΓX directional band gaps are found. The acceleration frequency response in the ΓX direction of such a plate with six periods is simulated with the finite element method and verified with a vibration experiment. The frequency ranges of sharp drops in the calculated and measured acceleration frequency response curves are in basic agreement with the gaps in the band structures. Thin plate is a widely used component in engineering. The existence of band gaps in such periodic structures gives a new idea for vibration control of thin plates.
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