Band-Gap Properties of Finite Locally Resonant Beam Suspended Periodically with Two-Degree-of-Freedom Force Type Resonators
The propagation properties of waves in finite Timoshenko locally resonant (LR) beams resting on forced vibrations and periodically attached two-degree-of-freedom force-type resonators are studied by the wave-based analysis approach. By calculating the motion equations of the beam, the transmission a...
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MDPI AG
2021-06-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/11/6/716 |
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| author | Hangyuan Lv Shangjie Li Xianzhen Huang Zhongliang Yu |
| author_facet | Hangyuan Lv Shangjie Li Xianzhen Huang Zhongliang Yu |
| author_sort | Hangyuan Lv |
| collection | DOAJ |
| description | The propagation properties of waves in finite Timoshenko locally resonant (LR) beams resting on forced vibrations and periodically attached two-degree-of-freedom force-type resonators are studied by the wave-based analysis approach. By calculating the motion equations of the beam, the transmission and reflection matrices of waves at the resonator attached point are first derived, and the forced vibration response of the finite periodic beam is deduced by the wave-based approach. Several examples are also analyzed by the finite element method to verify the high accuracy of the developed wave-based analysis approach. Numerical results show that wider low-frequency band-gaps exist in this type of LR beams. It was also found that the resonator masses and spring stiffnesses caused different effects on the band-gap properties of the combined LR beam. The desired band-gap widths of the LR beam can be tuned by adjusting the mass blocks and spring stiffness in the resonators based on the results. |
| first_indexed | 2024-03-10T10:12:22Z |
| format | Article |
| id | doaj.art-15c77ca260be455d9aa93cf85c9d858d |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T10:12:22Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-15c77ca260be455d9aa93cf85c9d858d2023-11-22T01:05:10ZengMDPI AGCrystals2073-43522021-06-0111671610.3390/cryst11060716Band-Gap Properties of Finite Locally Resonant Beam Suspended Periodically with Two-Degree-of-Freedom Force Type ResonatorsHangyuan Lv0Shangjie Li1Xianzhen Huang2Zhongliang Yu3School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaCollege of New Materials and New Energies, Shenzhen Technology University, Shenzhen 518118, ChinaThe propagation properties of waves in finite Timoshenko locally resonant (LR) beams resting on forced vibrations and periodically attached two-degree-of-freedom force-type resonators are studied by the wave-based analysis approach. By calculating the motion equations of the beam, the transmission and reflection matrices of waves at the resonator attached point are first derived, and the forced vibration response of the finite periodic beam is deduced by the wave-based approach. Several examples are also analyzed by the finite element method to verify the high accuracy of the developed wave-based analysis approach. Numerical results show that wider low-frequency band-gaps exist in this type of LR beams. It was also found that the resonator masses and spring stiffnesses caused different effects on the band-gap properties of the combined LR beam. The desired band-gap widths of the LR beam can be tuned by adjusting the mass blocks and spring stiffness in the resonators based on the results.https://www.mdpi.com/2073-4352/11/6/716Timoshenko LR beamswave-based analysis approachtwo-degree-of-freedom force-type resonatorslow-frequency band-gaps |
| spellingShingle | Hangyuan Lv Shangjie Li Xianzhen Huang Zhongliang Yu Band-Gap Properties of Finite Locally Resonant Beam Suspended Periodically with Two-Degree-of-Freedom Force Type Resonators Crystals Timoshenko LR beams wave-based analysis approach two-degree-of-freedom force-type resonators low-frequency band-gaps |
| title | Band-Gap Properties of Finite Locally Resonant Beam Suspended Periodically with Two-Degree-of-Freedom Force Type Resonators |
| title_full | Band-Gap Properties of Finite Locally Resonant Beam Suspended Periodically with Two-Degree-of-Freedom Force Type Resonators |
| title_fullStr | Band-Gap Properties of Finite Locally Resonant Beam Suspended Periodically with Two-Degree-of-Freedom Force Type Resonators |
| title_full_unstemmed | Band-Gap Properties of Finite Locally Resonant Beam Suspended Periodically with Two-Degree-of-Freedom Force Type Resonators |
| title_short | Band-Gap Properties of Finite Locally Resonant Beam Suspended Periodically with Two-Degree-of-Freedom Force Type Resonators |
| title_sort | band gap properties of finite locally resonant beam suspended periodically with two degree of freedom force type resonators |
| topic | Timoshenko LR beams wave-based analysis approach two-degree-of-freedom force-type resonators low-frequency band-gaps |
| url | https://www.mdpi.com/2073-4352/11/6/716 |
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