| Citation: | JIANG Zhou, LI Lin, FAN Yu, et al. Influence analysis of coupled band gap in piezoelectric periodic plate[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(7): 1422-1437. doi: 10.13700/j.bh.1001-5965.2020.0230(in Chinese)
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In recent years, researches on the elastic band gaps in periodic structures to reduce vibration have attracted widespread attention. However, it is difficult to design a band gap with wide bandwidth and good tunability. Aiming at this problem, we designed a periodic structure with piezoelectric network. By bonding piezoelectric patches periodically into structure, a coupled band gap can be created between the elastic waves and electric waves thanks to the piezoelectric effect. This band gap can be tailored with the help of external circuits. In order to calculate the propagation characteristics of the structure efficiently, a reduced wave finite element method suitable for piezoelectric periodic structures was developed to improve the calculation efficiency. It was found that more than 90% of the calculation time can be saved with great accuracy. Using this method, the influence of the size and shape of the piezoelectric material on the performance of the coupled band gap was studied. The results show that when fixing the electrical parameters, as the size of the piezoelectric patches increases, the coupled band gap moves to lower frequency range and its bandwidth increases. Moreover, the bandwidth in the system with square patches is slightly wider than that with circular patches. However, these two shapes have little impact on the directional distribution of coupled band gap. Then, the guideline is proposed for designing electrical parameters to make sure that coupled band gaps are generated around the desired frequency for electromechanical systems with different sizes and shapes. Finally, in order to prove the vibration reduction effect of the coupled band gap, a finite periodic piezoelectric plate was employed. The results show that the coupled band gap can effectively control the elastic wave in structure.
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