二維複合式亥姆霍茲共振器陣列之聲波相位共振研究

Acoustic Transmission Properties with Phase Resonance of Two-Dimensional Compound Helmholtz Resonator Array

陳培倫(Pei-Lun Chen)

指導教授 ： 蕭輔力

國立彰化師範大學/理學院/光電科技研究所/碩士(2020年)

摘要

本研究嘗試利用亥姆霍茲共振器之特性設計二維複合式聲柵型聲子晶體，使用有限元素分析法進行模擬，分析聲波穿透水中複合式聲柵結構的穿透特性。
本文透過彈簧質量模型找出雙開口圓盤狀共振器的幾何參數，設計複合式聲柵型聲子晶體，此結構的穿透頻譜中呈現了原應發生異常聲波穿透的頻率因相位共振而出現一窄且深的谷值，並由結構中聲波壓力之分布解析相位共振成因。本文藉由複合式聲柵孔洞的大小搭配整理出幾何參數改變對相位共振發生頻率的位移趨勢，達成相位共振頻率可調的想法。最後也透過實驗證實相位共振的出現會使原異常穿透高峰分裂為二，品質因子因而提高，盼望未來能以此研究為立基發展濾波器或頻率選擇器等應用。

關鍵字

聲子晶體 ； 異常聲波穿透 ； 相位共振 ； 複合式光柵 ； 彈簧質量模型

並列摘要

In this study, we use the finite element method to analyze the transmission characteristics of sound waves through the phononic crystal underwater. And using the spring-mass model to find the geometric parameters of the both-sides-open disk resonator for designing a two-dimensional compound acoustic grating. The peak of extraordinary acoustic transmission splits when the phase resonance phenomenon appears. We demonstrate that trend of the frequency shift is generated by adjusting the structure parameters. Finally, it is also confirmed through experiments that the appearance of phase resonance will split the original peak into two peaks, and the quality factor will be improved. I hope that this research can be used as a basis for the development of filters or frequency selectors in the future.

並列關鍵字

phononic crystal ； extraordinary acoustic transmission ； phase resonance ； compound grating ； spring mass model

參考文獻

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