Flexural wave bandgap properties of phononic crystal beams with interval parameters
-
Published:2023-01-23
Issue:2
Volume:44
Page:173-188
-
ISSN:0253-4827
-
Container-title:Applied Mathematics and Mechanics
-
language:en
-
Short-container-title:Appl. Math. Mech.-Engl. Ed.
Author:
He Feiyang,Shi Zhiyu,Qian Denghui,Lu Y. K.,Xiang Yujia,Feng Xuelei
Abstract
AbstractUncertainties 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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mechanical Engineering,Mechanics of Materials
Reference28 articles.
1. MA, J. H., HOU, Z. L., and ASSOUAR, B. M. Opening a large full phononic band gap in thin elastic plate with resonant units. Journal of Applied Physics, 115(9), 093508 (2014) 2. ZHAO, C. Y., ZHENG, J. Y., SANG, T., WANG, L. C., YI, Q., and WANG, P. Computational analysis of phononic crystal vibration isolators via FEM coupled with the acoustic black hole effect to attenuate railway-induced vibration. Construction and Building Materials, 283(4), 122802 (2021) 3. WANG, Y. K., QIAN, D. H., WU, J. H., and HE, F. Y. Attenuation characteristics of vibration in a locally resonant phononic crystal frame structure. Archives of Acoustics, 45(3), 557–562 (2020) 4. VASSEUR, J. O., DEYMIER, P. A., KHELIF, A., LAMBIN, P., DJAFARI-ROUHANI, B., AKJOUJ, A., DOBRZYNSKI, L., FETTOUHI, N., and ZEMMOURI, J. Phononic crystal with low filling fraction and absolute acoustic band gap in the audible frequency range: a theoretical and experimental study. Physical Review E, 65(5), 056608 (2002) 5. HIRSEKORN, M., DELSANTO, P. P., BATRA, N. K., and MATIC, P. Modelling and simulation of acoustic wave propagation in locally resonant sonic materials. Ultrasonics, 42(1–9), 231–235 (2004)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
|
|