ACTA

The Influence of the Topology of Quasi One-Dimensional Structure on Frequency Distribution Inside Phononic Crystal

S. Garus^a, W. Sochacki^a, J. Garus^a, J. Rzącki^b
^aDepartment of Mechanics and Fundamentals of Machinery Design, Faculty of Mechanical Engineering and Computer Science, Częstochowa University of Technology, Dąbrowskiego 73, 42-201 Częstochowa, Poland
^bDepartment of Physics, Faculty of Production Engineering and Materials Technology, Czestochowa University of Technology, ul. Dąbrowskiego 73, 42-201 Częstochowa, Poland

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In phononic crystals, for certain frequency ranges, the mechanical wave does not propagate. This phenomenon is called the occurrence of the phononic band gap and is related to the geometry of the structure, the spatial distribution of the materials and their type. The study analyzes the existence of a band gap inside quasi one-dimensional structures. The finite-difference time-domain algorithm and the transfer matrix method algorithm were used to simulate wave propagation in quasi-one-dimensional structures (i.e., those in which one dimension is much smaller than the other two). Then, the time series created inside the structure were subjected to signal decomposition into sinusoidal components of different frequencies using fast Fourier transform. The obtained results allowed to demonstrate the existence of a band gap in the structure and showed how the change in the distribution of layers affects the frequency range of the band gap.

DOI:10.12693/APhysPolA.142.7
topics: phononic crystal, FDTD, TMM, phononic band gap