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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 張家歐 | |
dc.contributor.author | Chia-Hui Kon | en |
dc.contributor.author | 龔家輝 | zh_TW |
dc.date.accessioned | 2021-06-08T02:45:40Z | - |
dc.date.copyright | 2018-03-01 | |
dc.date.issued | 2017 | |
dc.date.submitted | 2017-11-13 | |
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dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/20340 | - |
dc.description.abstract | 本文主要研究對象為Z-cut單端固定音叉式石英振盪器,分析石英音叉之特徵頻率,並在單端長樑末端外加線性外力,觀察其對於石英振盪器共振頻率的影響,並利用有限元素法模擬石英音叉振盪器的振盪模態。
本文針對異相振盪行為進行分析,兩音叉樑視為尤拉樑,而質量塊則依據音叉樑異相振盪對質量塊所造成的力矩來建立翹曲形變的模型;施加外力時,則另外考慮質量塊的彎曲形變。耦合部分,假設其結構為彈性體,分別討論各自結構自由振動行為,再利用漢米頓定理推導出運動統御方程式及邊界條件,用以耦合機械與電性質之連續關係。 為瞭解製程誤差對於共振頻率的影響,本文將套用不同的外在因素進行模擬,並分析在不同尺寸以及外力作用下,對共振頻率的影響,以作為製程誤差分析設計之參考,於頻率準確度與製程難度中取得平衡,以達到良率提升之目的。 | zh_TW |
dc.description.abstract | The thesis mainly studied about single-ended tuning fork quartz resonator, and analyzed the natural frequency of Quartz tuning fork (QTF) resonator, and the effect of resonant frequencies of the quartz tuning fork by linear external force, and simulated the vibration mode of Quartz tuning fork by Finite Element Method.
Focusing on the analysis of the anti-phase mode, the study regards a central tuning fork as the Euler beam, and two ends of the proof masses built the warping model according to the moment caused by the anti-phase mode from the tuning fork to the proof masses. Assuming the coupling structure as an elastic body, and discussing the free vibration to each structure; using the Hamilton's principle to derive the governing equation and the boundary condition for coupling the continuous mechanical relationship. For understanding the impact of the process error to the resonant frequency and the convenience for designing, the study has analyzed the impact of the dimension to the sensitivity of the resonant frequency for being the references of the process error analysis and the design of the mask; in order to improve the yield, it must get the balance between the frequency accuracy and the difficulty during the process. | en |
dc.description.provenance | Made available in DSpace on 2021-06-08T02:45:40Z (GMT). No. of bitstreams: 1 ntu-106-R04543035-1.pdf: 5226264 bytes, checksum: fae1dc644e77790eeed02c27b809a52f (MD5) Previous issue date: 2017 | en |
dc.description.tableofcontents | 口試委員審定書 i
誌謝 ii 中文摘要 iii 英文摘要 iv 目錄 v 圖目錄 viii 表目錄 xiii 符號說明 xiv 第一章 導論 1 1.1 前言 1 1.2 石英音叉振盪器 2 1.3 文獻回顧 10 1.4 研究目的與各章節摘要 14 第二章 石英晶體特性 17 2.1 晶格對稱性 17 2.2 石英晶體結構 17 2.3 切角特性 19 2.4 壓電效應 22 2.5 石英材料參數[67] 25 第三章 單端固定石英音叉振盪器理論分析 29 3.1 石英樑側向振動分析 30 3.1.1 座標系統 30 3.1.2 石英樑變形假設 30 3.1.3 石英樑之動能、彈性位能及非保守力作功 33 3.1.4 石英樑之統御方程式 35 3.1.5 石英樑特徵值與位移解模型 37 3.2 質量塊振動分析 38 3.2.1質量塊變形假設 39 3.2.2質量塊之動能 41 3.2.3質量塊之彈性位能 42 3.2.4 質量塊統御方程式 44 3.2.5 質量塊特徵值與位移解模型 45 3.3石英振盪器異相振盪模態分析 46 3.3.1 石英振盪器邊界耦合 47 第四章 單端固定石英音叉振盪器模擬分析 53 4.1 有限元素法分析 53 4.1.1 有限元素法基本概念 53 4.1.2 有限元素網格規劃 54 4.1.3 有限元素軟體 54 4.2 單端固定石英音叉振盪分析 55 4.2.1 石英音叉網格收斂性 55 4.2.2 石英音叉模擬結果 57 4.2.3 微型石英音叉模擬結果 61 4.3 單端固定石英音叉結果討論 64 第五章 石英音叉振盪體受線性外力影響 65 5.1 單石英樑受外力影響之側向振動分析 66 5.1.1 座標系統 66 5.1.2 石英樑變形假設 66 5.1.3 石英樑之動能、彈性位能及非保守力作功 68 5.1.4 石英樑受外力影響之統御方程式 71 5.1.5 石英樑特徵值與位移解模型 72 5.2 單石英樑受外力影響之質量塊振動分析 74 5.2.1質量塊變形假設 75 5.2.2質量塊之動能 80 5.2.3質量塊之彈性位能 81 5.2.4 質量塊統御方程式 84 5.2.5 質量塊特徵值與位移解模型 87 5.2.6 質量塊振盪模態 89 5.2.7 質量塊統御方程式 94 5.3線性外力作用下單端音叉式石英振盪器振盪模態分析 96 5.3.1 受外力作用之石英振盪器位移假設 97 5.3.2 受外力作用之石英振盪器邊界耦合 100 第六章 石英音叉振盪器受外力之模擬分析 108 6.1 單端固定石英音叉受外力之振盪分析 108 6.1.1 石英音叉外加線性外力 109 6.1.2 微型石英音叉外加線性外力 118 6.2 單端固定石英音叉受外力作用之結果討論 128 第七章 結論 129 參考文獻 131 附錄A 石英音叉模擬結果 139 附錄B 微型石英音叉模擬結果 142 作者簡歷 144 | |
dc.language.iso | zh-TW | |
dc.title | 單端固定石英音叉的振動模態與頻率分析 | zh_TW |
dc.title | Modal and Natural Frequency Analysis of a Single-End Fixed Quartz Tuning-Fork Resonator | en |
dc.type | Thesis | |
dc.date.schoolyear | 106-1 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 周傳心,陳柏志 | |
dc.subject.keyword | 音叉振盪器,石英,共振頻率,漢米頓定理,尤拉樑, | zh_TW |
dc.subject.keyword | Tuning fork resonator,Quartz,Natural frequency,Euler beam, | en |
dc.relation.page | 144 | |
dc.identifier.doi | 10.6342/NTU201704370 | |
dc.rights.note | 未授權 | |
dc.date.accepted | 2017-11-14 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 應用力學研究所 | zh_TW |
顯示於系所單位: | 應用力學研究所 |
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