Flexural wave bandgap properties of phononic crystal beams with interval parameters

doi:10.1007/s10483-023-2947-8

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (2): 173-188.doi: https://doi.org/10.1007/s10483-023-2947-8

• 论文 • 下一篇

Flexural wave bandgap properties of phononic crystal beams with interval parameters

Feiyang HE¹, Zhiyu SHI¹, Denghui QIAN², Y. K. LU³, Yujia XIANG¹, Xuelei FENG¹

1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. School of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212100, Jiangsu Province, China;
3. Department of Ophthalmology, University of Pittsburgh, Pittsburgh 15213, PA, U.S.A.

收稿日期:2022-07-24 修回日期:2022-09-22 出版日期:2023-02-01 发布日期:2023-02-04
通讯作者: Zhiyu SHI, E-mail: zyshi@nuaa.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 12272172 and 11847009), the Natural Science Foundation of Jiangsu Higher Education Institutions of China (No. 22KJB580005), the Youth Talent Promotion Project from China Association for Science and Technology (No. 2022QNRC001), and the Priority Academic Program Development of Jiangsu Higher Education Institutions of China

Flexural wave bandgap properties of phononic crystal beams with interval parameters

Feiyang HE¹, Zhiyu SHI¹, Denghui QIAN², Y. K. LU³, Yujia XIANG¹, Xuelei FENG¹

1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. School of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212100, Jiangsu Province, China;
3. Department of Ophthalmology, University of Pittsburgh, Pittsburgh 15213, PA, U.S.A.

Received:2022-07-24 Revised:2022-09-22 Online:2023-02-01 Published:2023-02-04
Contact: Zhiyu SHI, E-mail: zyshi@nuaa.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 12272172 and 11847009), the Natural Science Foundation of Jiangsu Higher Education Institutions of China (No. 22KJB580005), the Youth Talent Promotion Project from China Association for Science and Technology (No. 2022QNRC001), and the Priority Academic Program Development of Jiangsu Higher Education Institutions of China

摘要/Abstract

摘要： Uncertainties are unavoidable in practical engineering, and phononic crystals are no exception. In this paper, the uncertainties are treated as the interval parameters, and an interval phononic crystal beam model is established. A perturbation-based interval finite element method (P-IFEM) and an affine-based interval finite element method (A-IFEM) are proposed to study the dynamic response of this interval phononic crystal beam, based on which an interval vibration transmission analysis can be easily implemented and the safe bandgap can be defined. Finally, two numerical examples are investigated to demonstrate the effectiveness and accuracy of the P-IFEM and A-IFEM. Results show that the safe bandgap range may even decrease by 10% compared with the deterministic bandgap without considering the uncertainties.

关键词: phononic crystal beam, interval parameter, safe bandgap, perturbationbased interval finite element method (P-IFEM), affine-based interval finite element method (A-IFEM), interval vibration transmission analysis

Abstract: Uncertainties are unavoidable in practical engineering, and phononic crystals are no exception. In this paper, the uncertainties are treated as the interval parameters, and an interval phononic crystal beam model is established. A perturbation-based interval finite element method (P-IFEM) and an affine-based interval finite element method (A-IFEM) are proposed to study the dynamic response of this interval phononic crystal beam, based on which an interval vibration transmission analysis can be easily implemented and the safe bandgap can be defined. Finally, two numerical examples are investigated to demonstrate the effectiveness and accuracy of the P-IFEM and A-IFEM. Results show that the safe bandgap range may even decrease by 10% compared with the deterministic bandgap without considering the uncertainties.

Key words: phononic crystal beam, interval parameter, safe bandgap, perturbationbased interval finite element method (P-IFEM), affine-based interval finite element method (A-IFEM), interval vibration transmission analysis

中图分类号:

82C21
74S05

Feiyang HE, Zhiyu SHI, Denghui QIAN, Y. K. LU, Yujia XIANG, Xuelei FENG. Flexural wave bandgap properties of phononic crystal beams with interval parameters[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 173-188.

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Flexural wave bandgap properties of phononic crystal beams with interval parameters

Flexural wave bandgap properties of phononic crystal beams with interval parameters

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