基于点缺陷的花瓣形声子晶体中的弹性波能量局域和压电能量收集
Elastic Wave Energy Localization and Piezoelectric Energy Harvesting in Petal-Shaped Phononic Crystals Based on Point Defects
摘要: 本文设计了一种具有花瓣状孔洞结构的7 × 7二维正方晶格声子晶体(PnC)压电能量收集(PEH)系统。通过移除中心单胞的孔洞引入点缺陷，并在缺陷处粘贴圆盘形压电片，以实现弹性波能量的局域，并利用压电效应进行收集。分析了该结构在点缺陷处产生的六种局域模态，研究了系统的力学与电学输出性能，并探讨了压电片直径和厚度对其电能输出性能的影响。结果表明，当压电片直径为10 mm、厚度为2.3 mm时，系统的最大输出电压和功率分别达到45.727 V和17.891 mW，机电能量转换效率为16.84%。通过优化压电片与缺陷模态的匹配关系，该工作显著提升了能量转换效率，为高性能压电能量收集系统的设计提供了新思路。
Abstract: A 7 × 7 two-dimensional square-lattice phononic crystal (PnC) piezoelectric energy harvesting (PEH) system with a petal-shaped hole structure was designed. A point defect was created by removing the hole in the central unit cell, where a disc-shaped piezoelectric patch was affixed to localize and harvest elastic wave energy. The six localized modes generated at the point defect were analyzed. The mechanical and electrical output performance of the system was then examined, followed by an investigation into the impact of the patch’s diameter and thickness on power output. The results show that with a patch diameter of 10 mm and thickness of 2.3 mm, the system achieves a maximum output voltage of 45.727 V and a maximum power of 17.891 mW, corresponding to an electromechanical conversion efficiency of 16.84%. By optimizing the match between the piezoelectric patch and the defect mode, this work significantly enhances energy conversion efficiency and offers a new design approach for high-performance PEH systems.
文章引用：杨伊漫, 田苗. 基于点缺陷的花瓣形声子晶体中的弹性波能量局域和压电能量收集[J]. 声学与振动, 2026, 14(2): 63-76. https://doi.org/10.12677/ojav.2026.142006

参考文献

[1] Portilla, L., Loganathan, K., Faber, H., Eid, A., Hester, J.G.D., Tentzeris, M.M., et al. (2023) Wirelessly Powered Large-Area Electronics for the Internet of Things. Nature Electronics, 6, 10-17. [Google Scholar] [CrossRef] 
[2] Kang, J.G., Kim, H., Shin, S. and Kim, B.S. (2024) Fluid Flow to Electricity: Capturing Flow-Induced Vibrations with Micro-Electromechanical-System-Based Piezoelectric Energy Harvester. Micromachines, 15, Article 581. [Google Scholar] [CrossRef] [PubMed]
[3] Shu, Y.C. and Lien, I.C. (2006) Analysis of Power Output for Piezoelectric Energy Harvesting Systems. Smart Materials and Structures, 15, 1499-1512. [Google Scholar] [CrossRef] 
[4] Sun, W., Jang, H. and Seok, J. (2021) Magnetically Coupled Piezoelectric Galloping-Based Energy Harvester Using a Tandem Configuration. Mechanical Systems and Signal Processing, 161, Article 107952. [Google Scholar] [CrossRef] 
[5] Maassen, K.F., Brown, J.S., Choi, H., Thompson, L.L. and Bostwick, J.B. (2020) Acoustic Analysis of Ultrasonic Assisted Soldering for Enhanced Adhesion. Ultrasonics, 101, Article 106003. [Google Scholar] [CrossRef] [PubMed]
[6] Hu, G., Wang, J. and Tang, L. (2021) A Comb-Like Beam Based Piezoelectric System for Galloping Energy Harvesting. Mechanical Systems and Signal Processing, 150, Article 107301. [Google Scholar] [CrossRef] 
[7] Li, T. and Lee, P.S. (2022) Piezoelectric Energy Harvesting Technology: From Materials, Structures, to Applications. Small Structures, 3, Article 2100128. [Google Scholar] [CrossRef] 
[8] Xu, C., Song, Y., Han, M. and Zhang, H. (2021) Portable and Wearable Self-Powered Systems Based on Emerging Energy Harvesting Technology. Microsystems & Nanoengineering, 7, Article No. 25. [Google Scholar] [CrossRef] [PubMed]
[9] Zhao, Z., Dai, Y., Dou, S.X. and Liang, J. (2021) Flexible Nanogenerators for Wearable Electronic Applications Based on Piezoelectric Materials. Materials Today Energy, 20, Article 100690. [Google Scholar] [CrossRef] 
[10] Deng, J., Guasch, O., Zheng, L., Song, T. and Cao, Y. (2021) Semi-Analytical Model of an Acoustic Black Hole Piezoelectric Bimorph Cantilever for Energy Harvesting. Journal of Sound and Vibration, 494, Article 115790. [Google Scholar] [CrossRef] 
[11] Lee, G., Park, J., Choi, W., Ji, B., Kim, M. and Rho, J. (2023) Multiband Elastic Wave Energy Localization for Highly Amplified Piezoelectric Energy Harvesting Using Trampoline Metamaterials. Mechanical Systems and Signal Processing, 200, Article 110593. [Google Scholar] [CrossRef] 
[12] Tang, X.L., Ma, T.X. and Wang, Y.S. (2023) Topological Rainbow Trapping and Acoustic Energy Amplification in Two-Dimensional Gradient Phononic Crystals. Applied Physics Letters, 122, Article 112201. [Google Scholar] [CrossRef] 
[13] Yuan, W., Zhang, Y., Pan, Y., Huang, Y., Zhao, J., Yang, F., et al. (2024) Topological Rainbow Trapping, Concentration and Guiding in Graded Elastic Valley Phononic Crystal Plate. Engineering Structures, 304, Article 117596. [Google Scholar] [CrossRef] 
[14] Zhang, L., Tan, T., Yu, Z. and Yan, Z. (2022) Topological Imbalanced Phononic Crystal with Semi-Enclosed Defect for High-Performance Acoustic Energy Confinement and Harvesting. Nano Energy, 100, Article 107472. [Google Scholar] [CrossRef] 
[15] Wang, K., Li, X., Cao, L., Guo, P., Fan, G., Qin, J., et al. (2024) Enhancement of Piezoelectric Energy Harvesting for Flexural Waves by a Metasurface-Assisted Phononic Cavity. Results in Physics, 63, Article 107870. [Google Scholar] [CrossRef] 
[16] Kim, D.S., Choi, W., Kim, S., Kim, E., Nahm, S. and Kim, M. (2023) Correlating Multimode Strain and Electrode Configurations for High-Performance Gradient-Index Phononic Crystal-Based Piezoelectric Energy Harvesting. Materials Horizons, 10, 149-159. [Google Scholar] [CrossRef] [PubMed]
[17] Wen, Z., Jin, Y., Gao, P., Zhuang, X., Rabczuk, T. and Djafari-Rouhani, B. (2022) Topological Cavities in Phononic Plates for Robust Energy Harvesting. Mechanical Systems and Signal Processing, 162, Article 108047. [Google Scholar] [CrossRef] 
[18] Li, B., Chen, H., Xia, B. and Yao, L. (2023) Acoustic Energy Harvesting Based on Topological States of Multi-Resonant Phononic Crystals. Applied Energy, 341, Article 121142. [Google Scholar] [CrossRef] 
[19] Gantasala, S., Thomas, T. and Rajagopal, P. (2023) Enhanced Piezoelectric Energy Harvesting Based on Sandwiched Phononic Crystal with Embedded Spheres. Physica Scripta, 98, Article 035029. [Google Scholar] [CrossRef] 
[20] Zhang, G., He, Z., Wang, S., Hong, J., Cong, Y. and Gu, S. (2024) Elastic Foundation-Introduced Defective Phononic Crystals for Tunable Energy Harvesting. Mechanics of Materials, 191, Article 104909. [Google Scholar] [CrossRef] 
[21] Li, J.R., Guo, J.C. and Zhang, Z. (2023) Enhanced Energy Localization and Harvesting by Design of Phononic Crystal Defects. International Journal of Modern Physics B, 38, Article 2450244. [Google Scholar] [CrossRef] 
[22] Cao, D.X., Li, S.S., Guo, X.Y., Chen, X.M. and Lai, S.K. (2024) Buckling-Driven Piezoelectric Defect-Induced Energy Localization and Harvesting Using a Rubik’s Cube-Inspired Phononic Crystal Structure. Smart Materials and Structures, 33, Article 035036. [Google Scholar] [CrossRef] 
[23] Lee, G., Lee, D., Park, J., Jang, Y., Kim, M. and Rho, J. (2022) Piezoelectric Energy Harvesting Using Mechanical Metamaterials and Phononic Crystals. Communications Physics, 5, Article 94. [Google Scholar] [CrossRef] 
[24] Akbari-Farahani, F. and Ebrahimi-Nejad, S. (2024) From Defect Mode to Topological Metamaterials: A State-of-the-Art Review of Phononic Crystals & Acoustic Metamaterials for Energy Harvesting. Sensors and Actuators A: Physical, 365, Article 114871. [Google Scholar] [CrossRef] 
[25] Mahapatra, S.D., Mohapatra, P.C., Aria, A.I., Christie, G., Mishra, Y.K., Hofmann, S., et al. (2021) Piezoelectric Materials for Energy Harvesting and Sensing Applications: Roadmap for Future Smart Materials. Advanced Science, 8, Article 2100864. [Google Scholar] [CrossRef] [PubMed]
[26] Park, C., Shin, Y.C., Jo, S., Yoon, H., Choi, W., Youn, B.D., et al. (2019) Two-Dimensional Octagonal Phononic Crystals for Highly Dense Piezoelectric Energy Harvesting. Nano Energy, 57, 327-337. [Google Scholar] [CrossRef] 
[27] Lee, T.G., Jo, S.H., Seung, H.M., et al. (2020) Enhanced Energy Transfer and Conversion for High Performance Phononic Crystal-Assisted Elastic Wave Energy Harvesting. Nano Energy, 78, Article 105226. [Google Scholar] [CrossRef] 
[28] Jo, S.H., Yoon, H., Shin, Y.C., et al. (2022) L-Shape Triple Defects in a Phononic Crystal for Broadband Piezoelectric Energy Harvesting. Nano Convergence, 9, Article 29. [Google Scholar] [CrossRef] [PubMed]
[29] Zhang, G.Y., Liu, Z.J., Li, B.Z., et al. (2024) Phononic Crystals with Incomplete Line Defects: Applications in High-Performance and Broadband Acoustic Energy Localization and Harvesting. Smart Materials and Structures, 33, Article 085036. [Google Scholar] [CrossRef] 
[30] Zhang, G.Y., Liu, Z.J., Guo, Y., et al. (2024) Effect of Incomplete Line Defect Size on Energy Localization and Harvesting in Phononic Crystals. The Journal of the Acoustical Society of America, 156, 3921-3929. [Google Scholar] [CrossRef] [PubMed]
[31] Kushwaha, M.S., Halevi, P., Dobrzynski, L. and Djafari-Rouhani, B. (1993) Acoustic Band Structure of Periodic Elastic Composites. Physical Review Letters, 71, 2022-2025. [Google Scholar] [CrossRef] [PubMed]
[32] Romero-García, V., Sánchez-Pérez, J.V., Castiñeira-Ibáñez, S. and Garcia-Raffi, L.M. (2010) Evidences of Evanescent Bloch Waves in Phononic Crystals. Applied Physics Letters, 96, Article 124102. [Google Scholar] [CrossRef] 
[33] Paul, S., Overvelde, J.T.B., Hochhalter, J. and Wang, P. (2024) Effects of Void Geometry on Two-Dimensional Monolithic Porous Phononic Crystals. Applied Physics Letters, 124, Article 212201. [Google Scholar] [CrossRef] 
[34] Jo, S.H., Yoon, H., Shin, Y.C., et al. (2020) Designing a Phononic Crystal with a Defect for Energy Localization and Harvesting: Supercell Size and Defect Location. International Journal of Mechanical Sciences, 179, Article 105670. [Google Scholar] [CrossRef] 
[35] Lee, S. and Youn, B.D. (2011) A Design and Experimental Verification Methodology for an Energy Harvester Skin Structure. Smart Materials and Structures, 20, Article 057001. [Google Scholar] [CrossRef] 
[36] Tol, S., Degertekin, F.L. and Erturk, A. (2016) Gradient-Index Phononic Crystal Lens-Based Enhancement of Elastic Wave Energy Harvesting. Applied Physics Letters, 109, Article 063902. [Google Scholar] [CrossRef] 
[37] Jo, S.H., Yoon, H., Shin, Y.C. and Youn, B.D. (2020) A Graded Phononic Crystal with Decoupled Double Defects for Broadband Energy Localization. International Journal of Mechanical Sciences, 183, Article 105833. [Google Scholar] [CrossRef] 

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