臺灣博碩士論文加值系統

本篇論文採用乙烯醋酸乙烯酯共聚物 （Ethylene Vinyl Acetate，簡稱為EVA） 作為聲子晶體的主體材料，首先分為兩種結構，在基體上挖空氣洞的孔洞型聲子晶體，以及將圓柱作為散射體的圓柱型聲子晶體，分別模擬比較兩者的頻帶結構圖，於後者可產生局域共振型的聲子能隙，逐漸改變圓柱型結構的幾何參數以及改為三角晶格、蜂巢晶格的排列方式，觀察聲子能隙之變化情形。接著將圓柱挖空成環柱型，在原能隙的頻段範圍中多出數條環型的模態，包含耳語迴廊模態以及環柱與底板耦合之模態，逐漸改變環柱結構之幾何參數了解對聲子能隙與耳語迴廊模態之影響。於環柱內填入環氧樹脂，使之成為半圓柱半環柱之結構，成功抑制環柱與底板耦合之模態，使能隙中只留下兩條耳語迴廊模態，藉著調變環氧樹脂填充高度，可預測能隙範圍及耳語迴廊模態之頻率，可以應用於減震抗噪、聲波控制、共振腔或高品質波導等領域。








關鍵字：局域共振型聲子晶體、蘭姆波、耳語迴廊模態

摘要 i
誌謝 ii
目錄 iii
圖目錄 v
表目錄 viii
第一章 緒論 1
第一節 聲子晶體簡介 1
第二節 蘭姆波簡介 6
第三節 研究動機 9
第四節 本文內容 10
第二章 數值分析 12
第一節 週期函數與倒晶格 12
第二節 週期排列 14
第三節 布洛赫定理與布里淵區 17
第四節 頻帶結構 19
第五節 有限元素分析法 20
第三章 分析EVA材料之聲子晶體 21
第一節 孔洞型與圓柱型聲子晶體之比較 21
第二節 與三角、蜂巢晶格之比較 27
第三節 環柱型聲子晶體結構 31
第四節 樣品製作與實驗量測 40
第五節 結論 47
第四章 結論與未來展望 50
參考文獻 51

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