A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvesting
In this paper, a method of rotating scatterers was used to design a graded negative refraction index phononic crystal (GNRI PC) plate lens. The present plate lens contains the periodic perforated three-fan holes as the scatterers in the epoxy plate matrix. For a given rotation angle of the scatterer...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972101007X |
| _version_ | 1818342605251936256 |
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| author | Fan Yang Zhuhua Tan Xu Han Chongdu Cho |
| author_facet | Fan Yang Zhuhua Tan Xu Han Chongdu Cho |
| author_sort | Fan Yang |
| collection | DOAJ |
| description | In this paper, a method of rotating scatterers was used to design a graded negative refraction index phononic crystal (GNRI PC) plate lens. The present plate lens contains the periodic perforated three-fan holes as the scatterers in the epoxy plate matrix. For a given rotation angle of the scatterer, the rotation would result in a variation of the second A0 band dispersion curve, which is related to a specific negative refraction index. Based on the Snell’s law, the negative refraction index was calculated by utilizing the equifrequency contour and wave vector space for the different rotation angle. Then, the graded negative refraction index plate lens was designed by the specific distribution of the rotation angle of the scatterer. The results show that the plate lens exhibits an obvious focus efficiency in the work frequency range from 16 kHz to 19 kHz. The influence of the work frequency and the dimension of the lens on the focal length was also discussed. Combining with the present plate lens, the energy harvesting analysis was performed numerically, and the energy harvesting efficiency with the plate lens is about 10.5 times larger than that without a lens. This work provides a new way to fabricate GNRI PC plate lens and energy harvesting devices. |
| first_indexed | 2024-12-13T16:17:21Z |
| format | Article |
| id | doaj.art-136bf3195e3e4889b2d11804289a6d1b |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-13T16:17:21Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-136bf3195e3e4889b2d11804289a6d1b2022-12-21T23:38:49ZengElsevierResults in Physics2211-37972021-12-0131105006A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvestingFan Yang0Zhuhua Tan1Xu Han2Chongdu Cho3School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, PR ChinaSchool of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, PR China; Corresponding author.School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, PR ChinaCollege of Mechanical Engineering, Inha University, Incheon 402-751, South KoreaIn this paper, a method of rotating scatterers was used to design a graded negative refraction index phononic crystal (GNRI PC) plate lens. The present plate lens contains the periodic perforated three-fan holes as the scatterers in the epoxy plate matrix. For a given rotation angle of the scatterer, the rotation would result in a variation of the second A0 band dispersion curve, which is related to a specific negative refraction index. Based on the Snell’s law, the negative refraction index was calculated by utilizing the equifrequency contour and wave vector space for the different rotation angle. Then, the graded negative refraction index plate lens was designed by the specific distribution of the rotation angle of the scatterer. The results show that the plate lens exhibits an obvious focus efficiency in the work frequency range from 16 kHz to 19 kHz. The influence of the work frequency and the dimension of the lens on the focal length was also discussed. Combining with the present plate lens, the energy harvesting analysis was performed numerically, and the energy harvesting efficiency with the plate lens is about 10.5 times larger than that without a lens. This work provides a new way to fabricate GNRI PC plate lens and energy harvesting devices.http://www.sciencedirect.com/science/article/pii/S221137972101007XPhononic crystal plateLensRotating scatterersNegative refraction-indexLamb waveFocal length |
| spellingShingle | Fan Yang Zhuhua Tan Xu Han Chongdu Cho A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvesting Results in Physics Phononic crystal plate Lens Rotating scatterers Negative refraction-index Lamb wave Focal length |
| title | A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvesting |
| title_full | A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvesting |
| title_fullStr | A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvesting |
| title_full_unstemmed | A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvesting |
| title_short | A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvesting |
| title_sort | graded negative refraction index phononic crystals plate lens for focusing a0 mode lamb wave and energy harvesting |
| topic | Phononic crystal plate Lens Rotating scatterers Negative refraction-index Lamb wave Focal length |
| url | http://www.sciencedirect.com/science/article/pii/S221137972101007X |
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