Influence of Meta-Atom Geometry on the Occurrence of Local Resonance Regions in Two-Dimensional Finite Phononic Structures
Main Article Content
Abstract
In this work, the influence of different cross-sections of meta-atoms and their distribution on the occurrence of local resonance regions in inter-meta-atomic spaces of finite phononic structures was investigated. Software based on the Mathematica package was designed and implemented using the finite difference algorithm in the time domain to simulate mechanical wave propagation in phononic structures. Then, for the recorded time series from the inter-meta-atomic spaces, resonant frequency distributions were determined using Fourier transforms, and an analysis of the differences in frequency distributions depending on the location of the inter-meta-atomic space was carried out.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
M.S. Kushwaha, P. Halevi, L. Dobrzyński, B. Djafari-Rouhani, Phys. Rev. Lett. 71, 2022 (1993)
S. Garus, W. Sochacki, J. Appl. Math. Comput. Mech. 17, 19 (2018)
A. Sukhovich, Li Jing, J.H. Page, Phys. Rev. B 77, (2008)
Jin-Chen Hsu, Tsung-Tsong Wu, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 53, 1169 (2006)
M. Bold, S. Garus, W. Sochacki, in: Engineering Mechanics 2018, Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, Prague 2018
Gang Wang, Xisen Wen, Jihong Wen, Lihui Shao, Yaozong Liu, Phys. Rev. Lett. 93, 154302 (2004)
Xiaoling Li, Fugen Wu, Hefei Hu, Shao Zhong, Youyan Liu, J. Physics D Appl. Phys. 36, L15 (2002)
Wen-Pei Yang, Lien-Wen Chen, Smart Mater. Struct. 17, 015011 (2007)
T. Chen, M. Ruzzene, A. Baz, J. Vib. Control 6, 1065 (2000)
A. Baz, J. Vib. Acoust. 123, 472 (2001)
Youngjoon Kim, A.M. Baz, in: Smart Structures and Materials 2004: Damping and Isolation, ed. by Kon-Well Wang, SPIE, 2004
S. Garus, W. Sochacki, P. Kwiatoń, M. Nabiałek, J. Petru, M. Kubanek, Bull. Pol. Acad. Sci. Tech. Sci. 73, e144609 (2023)
Y. Tanaka, M. Takigahira, S. Tamura, Phys. Rev. B 66, 075409 (2002)
W. Sochacki, Acta Phys. Pol. A 138, 328 (2020)
K.M. Gruszka, M. Dośpiał, Acta Phys. Pol. A 142, 101 (2022)
G.V. Norton, J.C. Novarini, Comput. Phys. Commun. 174, 961 (2006)