Phononic Bandgaps in Two-Dimensional Periodic Structures

Chelimilla, Sneha and Vyasarayani, C P and Khaderi, Syed Nizamuddin (2017) Phononic Bandgaps in Two-Dimensional Periodic Structures. Masters thesis, Indian Institute of Technology Hyderabad.

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Abstract

Phononic structures mitigate propagation of sound waves in the frequency range of the phononic bandgap of the material. Therefore, this concept can be used in frequency filters, vibration and noise control, waveguides, in military applications to conceal submarines, etc. This work focuses on analyzing the plane wave propagation in phononic structures, the resulting dispersion relations and phononic bandgaps in infinite two-dimensional periodic structures by using Floquet-Bloch principle along with standard finite element programs (FEM). Based on these techniques, lattice structures can be tailored to obtain desired frequency band gaps. The dispersion relations of simple two- dimensional periodic structures, re-entrant structures with varying geometrical parameters, square honeycomb with local masses with various varying parameters are considered here.

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