Study on Lamb Waves in a Composite Phononic Crystal Plate
In the paper, a phononic crystal plate composed of a magnetorheological elastomer with adjustable band gaps in the low frequency range is constructed. The dispersion relations of Lamb waves are studied by the supercell plane wave expansion method. The transmission responses as well as the displaceme...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/10/9/799 |
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| author | Lili Yuan Peng Zhao Yong Ding Benjie Ding Jianke Du Tingfeng Ma Ji Wang |
| author_facet | Lili Yuan Peng Zhao Yong Ding Benjie Ding Jianke Du Tingfeng Ma Ji Wang |
| author_sort | Lili Yuan |
| collection | DOAJ |
| description | In the paper, a phononic crystal plate composed of a magnetorheological elastomer with adjustable band gaps in the low frequency range is constructed. The dispersion relations of Lamb waves are studied by the supercell plane wave expansion method. The transmission responses as well as the displacement fields of Lamb waves are calculated by the finite element method. The influence of geometric parameters on the band gaps, the regulation effect of the volume ratio of Fe particles and the bias magnetic field on the band gaps are analyzed. Based on the numerical results, we find that the volume ratio of Fe particles and the magnetic field affect the band gap effectively. The location and width of the band gaps can be adjusted within a broad frequency range by varying the geometric parameters and magnetic field. We can control the band gap, achieve an appropriate and wide low band gap by selecting proper geometric parameters and applying an external contactless magnetic field to deal with complicated and changeable engineering environment. The results are useful for understanding and optimizing the design of composite vibration isolation plates. |
| first_indexed | 2024-03-10T16:27:24Z |
| format | Article |
| id | doaj.art-6a7f11d8c49c42088bbea9dff7ea64ba |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T16:27:24Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-6a7f11d8c49c42088bbea9dff7ea64ba2023-11-20T13:07:08ZengMDPI AGCrystals2073-43522020-09-0110979910.3390/cryst10090799Study on Lamb Waves in a Composite Phononic Crystal PlateLili Yuan0Peng Zhao1Yong Ding2Benjie Ding3Jianke Du4Tingfeng Ma5Ji Wang6School of Civil and Environment Engineering, Ningbo University, 818 Fenghua Road, Ningbo 315211, ChinaSchool of Civil and Environment Engineering, Ningbo University, 818 Fenghua Road, Ningbo 315211, ChinaSchool of Civil and Environment Engineering, Ningbo University, 818 Fenghua Road, Ningbo 315211, ChinaPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, 818 Fenghua Road, Ningbo 315211, ChinaPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, 818 Fenghua Road, Ningbo 315211, ChinaPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, 818 Fenghua Road, Ningbo 315211, ChinaPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, 818 Fenghua Road, Ningbo 315211, ChinaIn the paper, a phononic crystal plate composed of a magnetorheological elastomer with adjustable band gaps in the low frequency range is constructed. The dispersion relations of Lamb waves are studied by the supercell plane wave expansion method. The transmission responses as well as the displacement fields of Lamb waves are calculated by the finite element method. The influence of geometric parameters on the band gaps, the regulation effect of the volume ratio of Fe particles and the bias magnetic field on the band gaps are analyzed. Based on the numerical results, we find that the volume ratio of Fe particles and the magnetic field affect the band gap effectively. The location and width of the band gaps can be adjusted within a broad frequency range by varying the geometric parameters and magnetic field. We can control the band gap, achieve an appropriate and wide low band gap by selecting proper geometric parameters and applying an external contactless magnetic field to deal with complicated and changeable engineering environment. The results are useful for understanding and optimizing the design of composite vibration isolation plates.https://www.mdpi.com/2073-4352/10/9/799Lamb wavephononic crystal plateband gapmagnetorheological elastomertransmission characteristic |
| spellingShingle | Lili Yuan Peng Zhao Yong Ding Benjie Ding Jianke Du Tingfeng Ma Ji Wang Study on Lamb Waves in a Composite Phononic Crystal Plate Crystals Lamb wave phononic crystal plate band gap magnetorheological elastomer transmission characteristic |
| title | Study on Lamb Waves in a Composite Phononic Crystal Plate |
| title_full | Study on Lamb Waves in a Composite Phononic Crystal Plate |
| title_fullStr | Study on Lamb Waves in a Composite Phononic Crystal Plate |
| title_full_unstemmed | Study on Lamb Waves in a Composite Phononic Crystal Plate |
| title_short | Study on Lamb Waves in a Composite Phononic Crystal Plate |
| title_sort | study on lamb waves in a composite phononic crystal plate |
| topic | Lamb wave phononic crystal plate band gap magnetorheological elastomer transmission characteristic |
| url | https://www.mdpi.com/2073-4352/10/9/799 |
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