A double-periodic structural beam is designed. The complex band structure of the structure is deduced by spectral element method. The influence of the length of the third element on the band gap characteristics of the double-periodic structural beam is studied. The results show that the double-periodic structure beams can reduce the band gap frequency, but it will affect the bandwidth of the band gap while maintaining the structural characteristics of the mechanical structure. The length of the third element has little effect on the centre frequency of each band gap, but it will affect the band gap bandwidth.
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