Band Gap Properties in Metamaterial Beam with Spatially Varying Interval Uncertainties
First, this study proposed a metamaterial beam model with spatially varying interval density. The interval dynamic equation of this model could be established by incorporating the decomposition results of the interval field based on Karhunen–Loeve expansion into the finite element method. An interva...
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| Format: | Article |
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MDPI AG
2023-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/14/8012 |
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| author | Feiyang He Zhiyu Shi Zexin Zhang Denghui Qian Xuelei Feng |
| author_facet | Feiyang He Zhiyu Shi Zexin Zhang Denghui Qian Xuelei Feng |
| author_sort | Feiyang He |
| collection | DOAJ |
| description | First, this study proposed a metamaterial beam model with spatially varying interval density. The interval dynamic equation of this model could be established by incorporating the decomposition results of the interval field based on Karhunen–Loeve expansion into the finite element method. An interval perturbation finite element method was developed to evaluate the bounds of the dynamic response interval vector. Then, an interval vibration transmission analysis could be performed, and the frequency range of the safe band gap could be determined. Meanwhile, Monte Carlo simulations and the vertex method are also presented to provide reference solutions. By comparison, it was found that the calculation accuracy of the interval perturbation finite element method was acceptable. The numerical results also showed that the safe band gap range was significantly smaller than that of the deterministic band gap. |
| first_indexed | 2024-03-11T01:21:39Z |
| format | Article |
| id | doaj.art-7b66f084c2124e2faf1b0f6c290b6570 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T01:21:39Z |
| publishDate | 2023-07-01 |
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| series | Applied Sciences |
| spelling | doaj.art-7b66f084c2124e2faf1b0f6c290b65702023-11-18T18:06:53ZengMDPI AGApplied Sciences2076-34172023-07-011314801210.3390/app13148012Band Gap Properties in Metamaterial Beam with Spatially Varying Interval UncertaintiesFeiyang He0Zhiyu Shi1Zexin Zhang2Denghui Qian3Xuelei Feng4State Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaState Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaSchool of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212100, ChinaSchool of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212100, ChinaState Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaFirst, this study proposed a metamaterial beam model with spatially varying interval density. The interval dynamic equation of this model could be established by incorporating the decomposition results of the interval field based on Karhunen–Loeve expansion into the finite element method. An interval perturbation finite element method was developed to evaluate the bounds of the dynamic response interval vector. Then, an interval vibration transmission analysis could be performed, and the frequency range of the safe band gap could be determined. Meanwhile, Monte Carlo simulations and the vertex method are also presented to provide reference solutions. By comparison, it was found that the calculation accuracy of the interval perturbation finite element method was acceptable. The numerical results also showed that the safe band gap range was significantly smaller than that of the deterministic band gap.https://www.mdpi.com/2076-3417/13/14/8012metamaterial beamsafe band gapinterval fieldinterval perturbation finite element method |
| spellingShingle | Feiyang He Zhiyu Shi Zexin Zhang Denghui Qian Xuelei Feng Band Gap Properties in Metamaterial Beam with Spatially Varying Interval Uncertainties Applied Sciences metamaterial beam safe band gap interval field interval perturbation finite element method |
| title | Band Gap Properties in Metamaterial Beam with Spatially Varying Interval Uncertainties |
| title_full | Band Gap Properties in Metamaterial Beam with Spatially Varying Interval Uncertainties |
| title_fullStr | Band Gap Properties in Metamaterial Beam with Spatially Varying Interval Uncertainties |
| title_full_unstemmed | Band Gap Properties in Metamaterial Beam with Spatially Varying Interval Uncertainties |
| title_short | Band Gap Properties in Metamaterial Beam with Spatially Varying Interval Uncertainties |
| title_sort | band gap properties in metamaterial beam with spatially varying interval uncertainties |
| topic | metamaterial beam safe band gap interval field interval perturbation finite element method |
| url | https://www.mdpi.com/2076-3417/13/14/8012 |
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