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研究生:陳佳堃
研究生(外文):Jia-Kun Chen
論文名稱:U型振動管式液體密度計之研究
論文名稱(外文):Study of a U-Tube Vibration Liquid Densitometer
指導教授:蔣小偉蔣小偉引用關係
指導教授(外文):Hsiao-Wei Chiang
學位類別:碩士
校院名稱:國立清華大學
系所名稱:動力機械工程學系
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2003
畢業學年度:91
語文別:中文
論文頁數:91
中文關鍵詞:振動密度計共振頻率ANSYSMATLABU型管石英玻璃半導體設備液體
外文關鍵詞:densitometervibrationdensityANSYSMATLABU-type pipesiliconsemiconductorliquid
相關次數:
  • 被引用被引用:2
  • 點閱點閱:502
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  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:0
隨著時代進步,科學技術的發展,密度測量在水質分析檢測、石油化學工業、食品工業、製酒工業、製藥工業、航空飛行器和現今熱門的半導體工業…等,眾多領域得到了日益廣泛的應用。
然而,縱觀國內使用振動管式液體密度計的相關工業,其密度計的來源,皆由國外進口,而國內仍在代理進口的階段,用於半導體製程中的密度計,其價格約相當貴,無疑是增加相關工業的成本負擔,國內如能自行開發密度計,便可降低生產成本、不用受制於國外,並且可以更進一步發展出展新的經濟商機。
以U型振動管式液體密度計為主,建立相關的理論分析與實驗流程,其中包括:利用激振器(exciter)將U型管維持在諧振狀態,當被測液體進入U型管後,振動管的共振頻率立即發生變化;當液體密度增加使其總質量增加,導致振動頻率降低,諧振頻率與管內液體密度之間存在著一定關係,經由方程式之推導,建立密度與振動頻率之數學關係式;大致而言,共振頻率與液體密度的平方根成反比。本計畫將規劃一連串的實驗、分析與理論推導,建立密度計整體分析之學理,以供其後工業界設計密度計之依據。

As the scientific development advances, the measurements of density have been widely used in the water quality industry, the petroleum industry, the food industry, the wine industry, the pharmaceutical industry, the aerospace industry, and the semiconductor industry. However, most of densitometers used by industry in Taiwan are imported from foreign countries. In addition, densitometers used in the semiconductor industry are expensive. Consequently, this will add to the cost of related industries. By developing densitometers domestically, we can decrease the cost of production, and create new opportunities for our related industries.
The theory and testing of a U-type vibration densitometer will be studied. The exciter will drive the U-type tube and keep it on a vibration state. When the tested fluid flows into the tube, the frequency of the vibration tube will be changed. The total mass will be increased when the fluid density increases and the frequency will be decreased. With calibration, the frequency and the density of the fluid can be correlated by some fixed relationship function. The vibration function will be the mathematical relationship between the density and the frequency. By measuring the frequency of the U-type tube, we will get the density of the tested liquid fluid. Generally, the frequency of the tested liquid is inversely proportional to the density. Experiments, analysis, and theories will be used to study densitometers in this paper.

中文摘要 I
Abstract II
符號說明 III
目錄 IV
圖目錄 VII
第一章 緒論 1
1.1 前言 1
1.2 研究目的 2
1.3 文獻回顧 4
1.4 研究方法 6
第二章 數學模型 7
2.1 密度計之工作原理 7
2.2 U型管數學模型之建立 9
2.3 共振機制模型之建立 13
2.3.1 激振結構機理與應用 16
2.3.2 控制系統原理與模擬 18
第三章 實驗設計與分析 20
3.1 實驗設備 20
3.1.1 U型管材料的選擇 20
3.1.2 頻譜分析實驗與儀器架設 22
3.2 實驗設計 23
3.2.1 重複性實驗 23
3.2.2 密度計標定校正曲線 24
第四章 誤差分析 30
4.1 系統誤差 30
4.1.1 傳感器系統誤差 30
4.1.2 測試電路誤差 30
4.1.3 安裝誤差 31
4.2 測量方法誤差 32
4.3 環境因素誤差 32
4.3.1 溫度影響 33
4.3.2 壓力影響 36
4.3.3 黏度影響 37
4.4 人為誤差 37
第五章 結果與討論 38
參考文獻 40
計畫成果自評 42
附件 59
一Bernoulli-Euler Theory 59
二振動方程式 64

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