Influence of Meta-Atom Geometry on the Occurrence of Local Resonance Regions in Two-Dimensional Finite Phononic Structures

S. Garusa, W. Sochackia, J. Garusa, M. Šoferb, P. Šoferc, K.M. Gruszkad aDepartment of Mechanics and Fundamentals of Machinery Design, Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Dąbrowskiego 73, 42-201 Częstochowa, Poland bDepartment of Applied Mechanics, Faculty of Mechanical Engineering, VSB - Technical University of Ostrava, 17. listopadu 2172/15, 708 00 Ostrava, Czech Republic cDepartment of Control Systems and Instrumentation, Faculty of Mechanical Engineering, VSB - Technical University of Ostrava, 17. listopadu 2172/15, 708 00 Ostrava, Czech Republic dDepartment of Computer Science, Czestochowa University of Technology, Dąbrowskiego 73, 42-201 Częstochowa, Poland

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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.

DOI:10.12693/APhysPolA.144.308 topics: finite-difference time domain (FDTD), discrete Fourier transform (DFT), local resonant regions, phononic structures