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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 應用力學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/27875
完整後設資料紀錄
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dc.contributor.advisor吳光鐘(Kuang-Chong Wu)
dc.contributor.authorTing-Wei Hsuen
dc.contributor.author許庭瑋zh_TW
dc.date.accessioned2021-06-12T18:25:22Z-
dc.date.available2007-08-28
dc.date.copyright2007-08-28
dc.date.issued2007
dc.date.submitted2007-08-13
dc.identifier.citation[1]Marx, K. A. (2002) Quartz Crystal Microbalance: A Useful Tool for studying thin polymer films and complex biomolecular systems at the solution- surface interface, Bio-macromolecules, 1009-1120.
[2]Tatsuma, T., Watnaba,Y., Oyana, N. (1999) Multichannel quartz crystal microbalance, Anal. Chem., 71, 3632-3636.
[3]Curie, J., Curie, P. (1880) Comput. Rend. Acad. Sci. Paris, 91, 294-297.
[4]Rayleigh, (1889) L. Proc. Lond. Math Soc., 20, 225-226.
[5]Cady, W. G. (1959) Phys., 155, 206-222.
[6]Lack, F. R., Willard, G. W., Fair, I. E. (1934) Bell Syst. Technol., 13, 453-455.
[7]Mindlin R. D. (1951) Thickness-shear and flexural vibrations of crystal plates, J. Appl. Phys. , Vol. 22, No. 3, 316-323.
[8]Sauerbray (1959) G. Z. Phys., 155, 206-222.
[9]King, W. H. (1964) Jr. Anal. Chem., 36, 1735-1741.
[10]Guilbault, G. G. (1983) Anal. Chem., 55, 1682-1684.
[11]Mindlin, R. D, Lee P. C. Y., (1962) Thickness-shear and flexural vibration of partially plate crystal plates, Int. J. Solid Struct., 2, 125-139.
[12]Nomura, T., Okuhara, M. (1982) Anal. Chem. Acta, 142, 281-284.
[13]Kurosawa, K., Tawara, E., Kamo, N., Kobataka, Y. (1990) Anal. Chem. Acta, 230, 41-49.
[14]Goka, S., Sekimoto, H., Watanabe, Y. (1999) Experimental study of vibration of mesa-shaped AT-cut quartz plates, proc. 1999 IEEE Int. Freq. Contr. Symp., Vol. 1, 441-444.
[15]Tatsuma, T., Watanabe,Y., Oyama, N., Kitakizaki, K., Haba, M. (2001) Multichannel quartz crystal microbalance, Anal. Chem., Vol. 71, No. 17, 3632-3636.
[16] Lu, F., Lee, H. P., Lim, S. P., (2004) Detecting solid–liquid interface properties with mechanical slip modelling for quartz crystal microbalance operating in liquid, J. Phys. D: Appl. Phys. 37, 898–906
[17]Lu, F., Lee, H. P., Lim, S.P. (2005) Energy-trapping analysis for the bi-stepped mesa quartz crystal microbalance using finite element method, Smart Materials and Structures, 14, 272-280.
[18]Shen, F., O’Shea, S. J., Lee,K., Lu,H. P., Ng,T. Y. (2003) Frequency interference between two mesa-shaped quartz crystal microbalances, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 50, No. 6, 668-675.
[19]Lu, F., Lee, H. P., Lu, P., Lim, S. P. (2005) Finite element analysis of interference for the laterally coupled quartz crystal microbalances, Sensor & Actuators, A119, 90-99.
[20] ABAQUS Users Manual (2002) Version 6.3, Hibbit, Karlsson & Sorensen, Inc.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/27875-
dc.description.abstract本文主要分成兩部份,第一部分討論QCM的平台設計(mesa design)的相關研究,第二部份將討論雙電極QCM的設計。
平台設計可增加QCM量測工作上的穩定性和靈敏度,但在特定幾何尺寸下QCM的能量井效應會有大量減少的現象,當此掉落點現象發生時,量測工作會產生頻率漂移與不準確性。我們為了避開掉落點現象出現,利用模擬的方式去找出發生時的QCM幾何尺寸,目前雖還無法找到掉落點現象真正的發生原因和統御方程式,但仍可利用模擬結果推估其發生之規律性和可能發生掉落點的尺寸。
當操作雙電極QCM時,兩電極彼此會相互影響,使得兩者的量測工作會受到干擾,產生其不準確性。本文就是找出其相互影響的頻率漂移量大小,最後再討論如何應用平台設計降低其相互影響的程度,增加量測上的穩定度。
zh_TW
dc.description.abstractWe first discuss the effect of mesa design for QCM system. The energy trapping effect will disappear under the specific geometry of QCM, and we call dropping effect. When this phenomenon occurs, the measurement will generate a lot of frequency drift and decrease the accuracy of QCM.
To avoid the phenomenon of dropping effect, we use finite element method and the numerical method to analyze the approximately geometry and the reasons for dropping effect. Until now, we can not find out the real reasons of dropping effect occurs, but we use the solution of simulations and analytic approaches to find out its regularities and possible sizes.
In the model of dual-electrode QCM, one electrode will have influence on the other during operation, further reducing accuracy. Hence, this thesis is to find out the extent of impact and the corresponding relation to minimize it through the mesa design.
en
dc.description.provenanceMade available in DSpace on 2021-06-12T18:25:22Z (GMT). No. of bitstreams: 1
ntu-96-R94543039-1.pdf: 721414 bytes, checksum: a4f7ac9bc2396d2b86ae1d919037cefd (MD5)
Previous issue date: 2007
en
dc.description.tableofcontents致謝 i
摘要 iii
Abstract iv
第一章 導論 1
1-1研究目的與動機 1
1-2文獻回顧 2
第二章 基礎理論 1
2-1壓電材料性質簡介 1
2-1.1位移-應變關係、電位-電場關係 1
2-1.2壓電材料組成律 2
2-2 QCM的基本工作原理 4
2-3 能量井效應(Energy Trapping Effect) 6
2-4平台型設計(mesa design) 8
2-6 2-D 平台設計QCM之振動分析 11
第三章 單電極模擬結果和比較 17
3-2 2-D 2單電極QCM模擬 17
3-2.1 平台尺寸和能量井效應之關係 18
3-2.2 2-D單電極之質量效應比較 19
3-2.3 2-D單電極之能量井效應比較 20
3-3 掉落點產生之討論 25
3-3.1掉落點產生之原因 25
3-3.2 掉落點發生之其他規律性 30
4-1 2-D 雙電極之模擬 33
4-1.1 QCM2吸附物質量對QCM1之影響 36
4-1.2 QCM1吸附物對自身共振頻率之影響 38
4-1.3 電極距離效應 40
4-2 3-D 雙電極QCM之模擬 41
4-2.1 QCM2吸附物質量效應 42
4-2.2 電極距離效應 43
4-2.3電極位置角度效應 45
第五章 結論與未來展望 47
5-1模擬結果討論 47
5-2 掉落點討論 48
5-3未來展望 49
參考文獻 51
附錄A AT-cut石英晶體材料常數 53
dc.language.isozh-TW
dc.subject壓電材料zh_TW
dc.subject雙電極石英晶體微天平zh_TW
dc.subject能量井效應zh_TW
dc.subject平台設計zh_TW
dc.subject有限元素分析模擬zh_TW
dc.subjectmesa designen
dc.subjectpiezoelectric materiaen
dc.subjectmulti-channel quartz crystal microbalanceen
dc.subjectenergy trapping effecten
dc.subjectfinite element method analysisen
dc.title部份電極壓電板之振動分析zh_TW
dc.titleThe vibration analysis of partial electrode piezoelectric plateen
dc.typeThesis
dc.date.schoolyear95-2
dc.description.degree碩士
dc.contributor.oralexamcommittee張正憲(Jeng-Shian Chang),李世光(Chih-Kung Lee)
dc.subject.keyword雙電極石英晶體微天平,壓電材料,能量井效應,平台設計,有限元素分析模擬,zh_TW
dc.subject.keywordmulti-channel quartz crystal microbalance,piezoelectric materia,energy trapping effect,mesa design,finite element method analysis,en
dc.relation.page52
dc.rights.note有償授權
dc.date.accepted2007-08-13
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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