臺灣博碩士論文加值系統

本論文主要目的在於探討以QCM量測具黏彈性之生醫介質，以TWSF等效電路的方式去分析QCM負載複雜黏彈性物質時的頻率與阻抗響應，由TWSF等效電路進行簡化而得到快速求解共振頻率飄移與阻抗變化的近似公式。
現今模擬分析QCM振盪器的等效電路有TLM等效電路、BVD等效電路、TWSF等效電路等。三種方法中以TLM等效電路求得的結果最為精確，但其求解最為複雜。BVD等效電路分析比較簡單，但其精確度較低。因此我們使用TWSF等效電路的方式，進行各種黏彈性流體、黏彈性薄膜，以及雙層黏彈性介質之分析，並與TLM等效電路、BVD等效電路分析的結果作比較。其後，再由TWSF負載黏彈性生醫介質的等效電路去進行簡化分析，找出影響介質振動行為的黏彈性因子，以期能找出快速分析複雜黏彈性負載的簡化公式。

The main purpose of this thesis is to study the determination of viscoelastic properties of biomedical media by QCM and analyze QCM by TWSF equivalent circuit and simplify TWSF equivalent circuit to find the shift of frequency and impedance.
The equivalent circuits of TLM、BVD、TWSF have been applied to QCM at present.The most accurate and complicated is TLM equivalent circuit .The simplest is BVD equivalent circuit,but it is not very accuracy.Thus,we analyze viscoelastic fluid、viscoelastic thin film and double layer of viscoelastic media by TWSF equivalent circuit and compare with the result of the equivalent circuit of TLM and BVD.We expect to simplify the analysis of QCM, find out the viscoelastic factor of media and simplify formula by TWSF equivalent circuit.

中文摘要…………………………………………………………………i
目錄……………………………………………………………………ii
表目錄…………………………………………………………………v
圖目錄………………………………………………………………vi
符號表……………………………………………………………xi

第一章 緒論………………………………………………………1
1-1 背景與動機……………………………………………………1
1-2 文獻探討………………………………………………………3
1-3 論文架構………………………………………………………5
第二章 QCM振盪器模擬感測原理……………………………7
2-1 石英振動的控制方程式………………………………………7
2-2 等效電路理論…………………………………………………9
2-2-1 TLM等效電路……………………………………………9
2-2-2 BVD等效電路…………………………………………11
2-2-2-1 BVD簡化具負載之共振頻率………………14
2-3 表面負載效應…………………………………………………14
2-3-1 理想質量層之負載……………………………………15
2-3-2 牛頓流體之負載………………………………………16
2-3-3 非牛頓流體之負載……………………………………17
2-3-4 薄膜之負載………………………………………………18
2-3-5 薄膜吸附待測物之負載…………………………………20
第三章 TWSF模式分析………………………………………22
3-1 TWSF模式…………………………………………………22
3-2 QCM於TWSF模式分析……………………………………25
3-2-1 QCM於TWSF模式響應之量測………………………26
3-2-2 TWSF模式之簡化………………………………………27
3-3 負載效應………………………………………………28
3-3-1 無質量負載……………………………………………28
3-3-2 牛頓流體負載…………………………………………29
3-3-3 De Kee流體負載……………………………………30
3-3-4 Rouse流體負載………………………………………33
3-3-5 薄膜負載………………………………………………34
3-3-6 薄膜負載之簡化………………………………………36
3-3-7 薄膜吸附待測物之負載………………………………37
第四章 模擬分析與比較………………………………………………38
4-1 無負載響應……………………………………………………38
4-2 牛頓流體負載響應……………………………………………39
4-3 De Kee流體負載響應………………………………………40
4-3-1 馬克斯威廉流體………………………………………40
4-3-2 三參數流體……………………………………………41
4-4 Rouse流體負載響應…………………………………42
4-5 薄膜負載響應…………………………………………44
4-6 薄膜吸附待測物負載響應…………………………46
第五章 結論與展望……………………………………………………49
5.1 結論……………………………………………………………49
5-2 未來研究方向………………………………………………50
參考文獻………………………………………………………………52

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