Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension
In this study, a new type of 2D piezoelectric phononic crystal with a square hollow and convex structures is designed and established. A theoretical study of the piezoelectric phononic crystal is presented in this article to investigate the transmission properties of waves in terms of complex disper...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/14/7021 |
| _version_ | 1797441059498754048 |
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| author | Zhongjian Miao Jingru Li Sheng Li Qingfen Ma |
| author_facet | Zhongjian Miao Jingru Li Sheng Li Qingfen Ma |
| author_sort | Zhongjian Miao |
| collection | DOAJ |
| description | In this study, a new type of 2D piezoelectric phononic crystal with a square hollow and convex structures is designed and established. A theoretical study of the piezoelectric phononic crystal is presented in this article to investigate the transmission properties of waves in terms of complex dispersion relations. Based on the finite discretization technique and plane wave expansion, the formula derivation of the real band structure is achieved as well as the complex band diagrams are obtained. The numerical results are presented to demonstrate the multiple broadband complete bandgaps produced by the designed piezoelectric phononic crystal and the propagation characteristics of the elastic waves for different directions. In addition, the transmission loss in the ΓX direction is calculated to verify the band structure. Finally, the effects of the thickness and the square hollow side length on the band structure are discussed. |
| first_indexed | 2024-03-09T12:17:26Z |
| format | Article |
| id | doaj.art-0af06880cbf1454dae929237ffea8b28 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T12:17:26Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-0af06880cbf1454dae929237ffea8b282023-11-30T22:44:07ZengMDPI AGApplied Sciences2076-34172022-07-011214702110.3390/app12147021Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane ExtensionZhongjian Miao0Jingru Li1Sheng Li2Qingfen Ma3Mechanical and Electrical Engineering College, Hainan University, Haikou 570228, ChinaMechanical and Electrical Engineering College, Hainan University, Haikou 570228, ChinaState Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, ChinaMechanical and Electrical Engineering College, Hainan University, Haikou 570228, ChinaIn this study, a new type of 2D piezoelectric phononic crystal with a square hollow and convex structures is designed and established. A theoretical study of the piezoelectric phononic crystal is presented in this article to investigate the transmission properties of waves in terms of complex dispersion relations. Based on the finite discretization technique and plane wave expansion, the formula derivation of the real band structure is achieved as well as the complex band diagrams are obtained. The numerical results are presented to demonstrate the multiple broadband complete bandgaps produced by the designed piezoelectric phononic crystal and the propagation characteristics of the elastic waves for different directions. In addition, the transmission loss in the ΓX direction is calculated to verify the band structure. Finally, the effects of the thickness and the square hollow side length on the band structure are discussed.https://www.mdpi.com/2076-3417/12/14/7021locally resonant metamaterialpiezoelectric effectcomplex wave vector dispersion relationshipelastic wave attenuationtransmission loss |
| spellingShingle | Zhongjian Miao Jingru Li Sheng Li Qingfen Ma Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension Applied Sciences locally resonant metamaterial piezoelectric effect complex wave vector dispersion relationship elastic wave attenuation transmission loss |
| title | Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension |
| title_full | Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension |
| title_fullStr | Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension |
| title_full_unstemmed | Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension |
| title_short | Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension |
| title_sort | complex band structure of 2d piezoelectric local resonant phononic crystal with finite out of plane extension |
| topic | locally resonant metamaterial piezoelectric effect complex wave vector dispersion relationship elastic wave attenuation transmission loss |
| url | https://www.mdpi.com/2076-3417/12/14/7021 |
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