Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic Plate
This paper investigates the complex band diagram of flexural waves in the phononic plate with semi-infinite heavy fluid loading. The system under examination is a square plate lattice with two-dimensional periodicity immersed in a fluid domain with infinite height. The numerical models based on the...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/12/23/12386 |
| _version_ | 1797463558738411520 |
|---|---|
| author | Jingru Li Sheng Li Zhongjian Miao |
| author_facet | Jingru Li Sheng Li Zhongjian Miao |
| author_sort | Jingru Li |
| collection | DOAJ |
| description | This paper investigates the complex band diagram of flexural waves in the phononic plate with semi-infinite heavy fluid loading. The system under examination is a square plate lattice with two-dimensional periodicity immersed in a fluid domain with infinite height. The numerical models based on the wave field transformation and the Galerkin method combined with the finite element discretization technique are developed to investigate the real and imaginary parts of the dispersion relation of flexural waves propagating through the phononic plate incorporating the fluid-loading effects. A perfect agreement is found between the location and width of stop bands from the real band diagram and the attenuation diagram, which supports the validity of the numerical models. Moreover, the complex band diagram is verified by the transverse vibration transmittance of the finite phononic plate. The results demonstrate that the external fluid loading is able to adjust the location, bandwidth, and decaying level as well as affect the degree of attenuation anisotropy of the complete and directional band gaps. |
| first_indexed | 2024-03-09T17:52:26Z |
| format | Article |
| id | doaj.art-8ef9856ceea44df48a2b510c09e20bd7 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T17:52:26Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-8ef9856ceea44df48a2b510c09e20bd72023-11-24T10:35:39ZengMDPI AGApplied Sciences2076-34172022-12-0112231238610.3390/app122312386Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic PlateJingru Li0Sheng Li1Zhongjian Miao2School of Mechanical and Electrical Engineering, 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, ChinaSchool of Mechanical and Electrical Engineering, Hainan University, Haikou 570228, ChinaThis paper investigates the complex band diagram of flexural waves in the phononic plate with semi-infinite heavy fluid loading. The system under examination is a square plate lattice with two-dimensional periodicity immersed in a fluid domain with infinite height. The numerical models based on the wave field transformation and the Galerkin method combined with the finite element discretization technique are developed to investigate the real and imaginary parts of the dispersion relation of flexural waves propagating through the phononic plate incorporating the fluid-loading effects. A perfect agreement is found between the location and width of stop bands from the real band diagram and the attenuation diagram, which supports the validity of the numerical models. Moreover, the complex band diagram is verified by the transverse vibration transmittance of the finite phononic plate. The results demonstrate that the external fluid loading is able to adjust the location, bandwidth, and decaying level as well as affect the degree of attenuation anisotropy of the complete and directional band gaps.https://www.mdpi.com/2076-3417/12/23/12386heavy fluid-loaded phononic crystalcomplex band structureflexural wave attenuationfluid–structure interactionmultiple stop bands |
| spellingShingle | Jingru Li Sheng Li Zhongjian Miao Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic Plate Applied Sciences heavy fluid-loaded phononic crystal complex band structure flexural wave attenuation fluid–structure interaction multiple stop bands |
| title | Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic Plate |
| title_full | Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic Plate |
| title_fullStr | Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic Plate |
| title_full_unstemmed | Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic Plate |
| title_short | Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic Plate |
| title_sort | investigations on the complex band diagram of flexural wave through the fluid loaded phononic plate |
| topic | heavy fluid-loaded phononic crystal complex band structure flexural wave attenuation fluid–structure interaction multiple stop bands |
| url | https://www.mdpi.com/2076-3417/12/23/12386 |
| work_keys_str_mv | AT jingruli investigationsonthecomplexbanddiagramofflexuralwavethroughthefluidloadedphononicplate AT shengli investigationsonthecomplexbanddiagramofflexuralwavethroughthefluidloadedphononicplate AT zhongjianmiao investigationsonthecomplexbanddiagramofflexuralwavethroughthefluidloadedphononicplate |