[1] HONG Jun, GAO Xingyu, LI Ke, WANG Shaopeng, et al. Study on band gaps and defect bands in tunable phononic crystal plates with elastic foundations [J]. Journal of Southeast University (English Edition), 2025, 41 (2): 164-170. [doi:10.3969/j.issn.1003-7985.2025.02.005]
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Study on band gaps and defect bands in tunable phononic crystal plates with elastic foundations(
)
弹性地基可调声子晶体板带隙与缺陷带研究
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 41
- Issue:
- 2025 2
- Page:
- 164-170
- Research Field:
- Mathematics, Physics, Mechanics
- Publishing date:
- 2025-06-17
Info
- Title:
- Study on band gaps and defect bands in tunable phononic crystal plates with elastic foundations
- 弹性地基可调声子晶体板带隙与缺陷带研究
- Author(s):
- HONG Jun, GAO Xingyu, LI Ke, WANG Shaopeng
- School of Civil Engineering, Southeast University, Nanjing 211189, China
Jiangsu Key Laboratory of Mechanical Analysis for Infrastructure and Advanced Equipment, Southeast University, Nanjing 211189, China
- PACS:
- O34
- DOI:
- 10.3969/j.issn.1003-7985.2025.02.005
- Abstract:
- To analyze the band gap characteristics of phononic crystals, a two-dimensional phononic crystal plate model with an elastic foundation was first established. The plane wave expansion method was used to compute the dispersion curves of this phononic crystal model, and the results were compared with those from the finite element method to verify their accuracy. Subsequently, a parameter study explored the effects of the elastic foundation coefficient and coverage ratio on the band gap. The results indicate that as the coverage ratio of the elastic foundation increases, the band gap significantly expands, reaching its maximum value at 100% coverage. Additionally, as the elastic foundation stiffness increases, the band gap gradually widens and converges toward fixed boundary conditions. The study also investigated the band gap of phononic crystal plates with defects, finding that the vibrational energy concentrates at the defect unit cell. Furthermore, the defect band frequency can be effectively modulated by adjusting the coefficient of the elastic foundation, providing a theoretical basis for achieving efficient energy conversion.
- 为了研究声子晶体的带隙特性，首先构建了一个包含弹性基础的二维声子晶体板模型。基于此模型，采用平面波展开法（PWEM）计算了其色散曲线，并与有限元法（FEM）进行了比较，以确保计算结果的准确性。随后，通过参数分析研究了弹性基础的弹簧系数和覆盖率对带隙调节的影响。结果显示，随着弹性基础覆盖率的增加，带隙显著扩展，在覆盖率达到100%时，带隙达到最大值。此外，随着弹簧刚度的提升，带隙逐渐扩大，最终趋近于固定边界条件。进一步研究了引入缺陷后的声子晶体带隙变化，发现振动能量集中在缺陷处，且弹性基础的弹簧系数可以有效调节缺陷带的振动频率，为实现能量高效收集提供了理论依据。
References:
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Memo
- Memo:
-
Received 2024-09-28,Revised 2024-12-12.
Biography:Hong Jun(1978—),male,doctor,professor,junhong@seu.edu.cn.
Foundation item:The National Natural Science Foundation of China (No. 12002086).
Citation:HONG Jun,GAO Xingyu,LI Ke,et al.Study on band gaps and defect bands in tunable phononic crystal plates with elastic foundations[J].Journal of Southeast University (English Edition),2025,41(2):164-170.DOI:10.3969/j.issn.1003-7985.2025.02.005.DOI:10.3969/j.issn.1003-7985.2025.02.005