Design of multi-bandgap metamaterial plate based on composite cylindrical resonators
This paper introduces a composite locally resonant metamaterial plate (CLRMP) designed for broadband, low-frequency vibration suppression through multi-resonance and gradient configurations. Theoretical models employing the plane wave expansion method are developed to compute the band structures of...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Materials & Design |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0264127524009456 |
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| author | Zhi Miao Jianfei Yin Yu Yang Yibo Ke Zhoufu Zheng Xiaoming Geng Qian Wang |
| author_facet | Zhi Miao Jianfei Yin Yu Yang Yibo Ke Zhoufu Zheng Xiaoming Geng Qian Wang |
| author_sort | Zhi Miao |
| collection | DOAJ |
| description | This paper introduces a composite locally resonant metamaterial plate (CLRMP) designed for broadband, low-frequency vibration suppression through multi-resonance and gradient configurations. Theoretical models employing the plane wave expansion method are developed to compute the band structures of the CLRMP. For rapid evaluation of the bandgap bounding frequencies, closed-form formulas are derived using wave theory in conjunction with Hamilton's principle. The composite arrangement of local resonators achieves two low-frequency bandgaps, effectively expanding the bandgap region and enhancing the designability of bandgaps compared to traditional locally resonant plate. Building on the initial composite model, two methods are employed to further broaden the bandgaps. The first method utilizes a genetic algorithm to optimize the bandgap width of the CLRMP with periodically arranged resonators. Additionally, a nonperiodic gradient design is proposed by adjusting the stiffness of the resonators to ensure that the natural frequencies of the nonperiodic resonators are lower than those of the periodic resonators. This design approach demonstrates a significant 67.9% increase in normalized attenuation bandwidth. Experimental results reveal an average vibration suppression of 21.4 dB in the 250 Hz to 650 Hz range for the nonperiodic metamaterial plate, outperforming periodic designs in low-frequency vibration absorption and achieving broader attenuation bands. |
| format | Article |
| id | doaj-art-a549e95b1d5c4258af83cc5ee3fe851a |
| institution | Kabale University |
| issn | 0264-1275 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Materials & Design |
| spelling | doaj-art-a549e95b1d5c4258af83cc5ee3fe851a2025-01-08T04:52:14ZengElsevierMaterials & Design0264-12752025-02-01250113570Design of multi-bandgap metamaterial plate based on composite cylindrical resonatorsZhi Miao0Jianfei Yin1Yu Yang2Yibo Ke3Zhoufu Zheng4Xiaoming Geng5Qian Wang6National Key Laboratory of Equipment State Sensing and Smart Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha, 410073, China; College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, ChinaNational Key Laboratory of Equipment State Sensing and Smart Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha, 410073, China; Corresponding author.College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, ChinaNational Key Laboratory of Equipment State Sensing and Smart Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha, 410073, ChinaNational Key Laboratory of Equipment State Sensing and Smart Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha, 410073, ChinaThe 705 Research Institute, China State Shipbuilding Corporation Limited, Xi'an, 710077, ChinaThe 705 Research Institute, China State Shipbuilding Corporation Limited, Xi'an, 710077, ChinaThis paper introduces a composite locally resonant metamaterial plate (CLRMP) designed for broadband, low-frequency vibration suppression through multi-resonance and gradient configurations. Theoretical models employing the plane wave expansion method are developed to compute the band structures of the CLRMP. For rapid evaluation of the bandgap bounding frequencies, closed-form formulas are derived using wave theory in conjunction with Hamilton's principle. The composite arrangement of local resonators achieves two low-frequency bandgaps, effectively expanding the bandgap region and enhancing the designability of bandgaps compared to traditional locally resonant plate. Building on the initial composite model, two methods are employed to further broaden the bandgaps. The first method utilizes a genetic algorithm to optimize the bandgap width of the CLRMP with periodically arranged resonators. Additionally, a nonperiodic gradient design is proposed by adjusting the stiffness of the resonators to ensure that the natural frequencies of the nonperiodic resonators are lower than those of the periodic resonators. This design approach demonstrates a significant 67.9% increase in normalized attenuation bandwidth. Experimental results reveal an average vibration suppression of 21.4 dB in the 250 Hz to 650 Hz range for the nonperiodic metamaterial plate, outperforming periodic designs in low-frequency vibration absorption and achieving broader attenuation bands.http://www.sciencedirect.com/science/article/pii/S0264127524009456Metamaterial plateBandgapVibration suppressionClosed-form formulasGenetic algorithmGradient design |
| spellingShingle | Zhi Miao Jianfei Yin Yu Yang Yibo Ke Zhoufu Zheng Xiaoming Geng Qian Wang Design of multi-bandgap metamaterial plate based on composite cylindrical resonators Materials & Design Metamaterial plate Bandgap Vibration suppression Closed-form formulas Genetic algorithm Gradient design |
| title | Design of multi-bandgap metamaterial plate based on composite cylindrical resonators |
| title_full | Design of multi-bandgap metamaterial plate based on composite cylindrical resonators |
| title_fullStr | Design of multi-bandgap metamaterial plate based on composite cylindrical resonators |
| title_full_unstemmed | Design of multi-bandgap metamaterial plate based on composite cylindrical resonators |
| title_short | Design of multi-bandgap metamaterial plate based on composite cylindrical resonators |
| title_sort | design of multi bandgap metamaterial plate based on composite cylindrical resonators |
| topic | Metamaterial plate Bandgap Vibration suppression Closed-form formulas Genetic algorithm Gradient design |
| url | http://www.sciencedirect.com/science/article/pii/S0264127524009456 |
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