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The structure design and the wave dynamics research of phononic crystals

Author: ChenHuiZuo
Tutor: ChangHong
School: Taiyuan University of Science and Technology
Course: Engineering Mechanics
Keywords: phononic crystals band structure band gaps plane waveexpansion material parameters filling rate
CLC: O735
Type: Master's thesis
Year: 2013
Downloads: 36
Quote: 0
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Abstract


Phononic crystals are a kind of periodic structure composed of two kinds ormore elastic/fluid materials. Such artificial crystals can exhibit acoustic orelastic band gaps in which sound and vibration are all forbidden. This uniquefeature of Phononic crystals provides new prospects for engineering applicationsuch as sound insulation, noise control or the design of acoustic devices.Therefore, the topic has received a great deal of attention in recent years. In thispaper, the plane wave expansion （PWE） method is applied to calculate the bandstructures of the two-dimensional orthotropic phononic crystals with squarelattice, and the relations between the band structures or the width of band gapsand the parameters are investigated. Based on the plane wave expansion （PWE）method we carry out the studies in following aspects:This paper studies the two-dimensional anisotropic phononic crystal（AlAs/GaAs） the influence of material parameters. The results show that nocomplete band gaps but directional band gaps exhibit in the in-plane bandstructures when there is much difference of material parameters between thematrixes and scattered. And it is shown that theρa ρbhas a more significantlyaffect than theC44a C44b orC11a C11bon the in-plane band structures. Inaddition, there are complete band gaps appear in the out-plane band structures.The case exhibits theC44a C44b has a more apparent affect than theρa ρbonthe out-plane band structures.This paper studies the two-dimensional anisotropic phononic crystal（AlAs/GaAs） the influence of filling rate. For two-dimensional anisotropicphononic crystal, no matter when the filling rate changes cannot obtain completeband gap. In-plane mode filling rate impact on the frequency band gap larger.Out-of-plane modes filling rate on the low frequency direction gap influence.However, when the filling rate was f≤0.3, filling rate effects on highfrequency directional band gap is very unstable.

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CLC: > Mathematical sciences and chemical > Crystallography > Crystal physics > The acoustic properties of the crystal
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