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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 周元昉 | |
dc.contributor.author | Yi-I-Che Tseng | en |
dc.contributor.author | 曾一哲 | zh_TW |
dc.date.accessioned | 2021-06-15T02:32:36Z | - |
dc.date.available | 2009-08-17 | |
dc.date.copyright | 2009-08-17 | |
dc.date.issued | 2009 | |
dc.date.submitted | 2009-08-14 | |
dc.identifier.citation | [1]
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Barnett, “On the existence of surface wave solutions in piezoelectric crystals: An example of nonexistence,” Wave Motion, Vol. 1, pp. 107-112, 1979. [15] J. Lothe, and D. M. Barnett, “Further development of the theory for surface waves in piezoelectric crytals,” Physica Norvegica, Vol. 8, pp. 239-254, 1977. [16] G. G. Kessenikh, V. N. Lyubimov, and L. A. Shuvalov, “Love surface waves in piezoelectrics,” Soviet Physics, Crystallography, Vol. 27, pp. 267–270, 1982. [17] F. Hanhua, and L. Xingjiao, “Shear-horizontal surface waves in a layered structure of piezoelectric ceramics,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 40, pp. 167–170, 1993. [18] E. L. Adler, “SAW and pseudo-SAW properties using matrix methods,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 41, pp. 699-705, 1994. [19] E. L. Adler, and L. Solie, “ZnO on diamond: SAWs and pseudo-SAWs,” IEEE Ultrasonics Symposium, Vol. 1, pp. 341-344, 1995. 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Skeie, “A method for analyzing waves in structures consisting of metal strips on dispersive media,” IEEE Transactions on Electron Devices, Vol. 20, pp. 1133-1138, 1973. [26] K. Blotekjar, K. A. Ingebrigtsen, and H. Skeie, “Acoustic surface waves in piezoelectric materials with periodic metal strips on the surface,” IEEE Transactions on Electron Devices, Vol. 20, pp. 1139-1146, 1973. [27] P. Ventura, J. Desbois, and L. Boyer, “A mixed FEM/analytical model of the electrode mechanical perturbation for SAW and PSAW propagation,” IEEE Ultrasonics Symposium, Vol. 1, pp.205-208, 1993. [28] K. Hashimoto, G. Q. Zheng, and M. Yamaguchi, “Fast analysis of SAW propagation under multi-electrode-type gratings with finite thickness,” IEEE Ultrasonics Symposium, Vol. 1, pp.279-284, 1997. [29] S. Datta, and B. J. Hunsinger, “First-order reflection coefficient of surface acoustic waves from thin-strip overlays,” Journal of Applied Physics, Vol. 50, pp. 5661-5665, 1979. [30] B. A. Auld, “Acoustic fields and waves in solids,” Wiley, New York, 1973. [31] J. D. Achenbach, “Wave propagation in elastic solids,” North Holland Pub. Co., Amsterdam, 1973. [32] A. H. Nayfeh, “Wave propagation in layered anisotropic media with applications to composites,” Elsevier, Amsterdam, 1995. [33] T. C. T. Ting, “Anisotropic elasticity: theory and applications,” Oxford University Press, New York, 1996. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43914 | - |
dc.description.abstract | 本文提出一套矩陣架構的理論來解決具週期性電極的壓電波傳行為,其概念結合了平面波展開法與Stroh法兩種,並假設系統在電性準靜態的情形下作用,首先由壓電本構方程式出發並配合牛頓運動定律與高斯定律即可推得壓電統御方程式,再由Floquet定理將位移及電位假設為週期函數展開的形式來滿足週期性邊界,並將位移及電位假設代入壓電統御方程式中則可推得一特徵值問題,將所求的特徵值與特徵向量以不同待定係數疊加則可求得壓電材料的通解,而在邊界條件方面則利用一次近似法來考慮週期性電極厚度所造成的影響,並求得電極在開路與短路兩種情形下之頻散關係式,此外亦討論指叉電極的阻抗與角頻率關係,在數值方面本文詳細介紹了壓電波傳的無因次化方法,並介紹頻散關係函數的連續化方法,如此則可快速的求得頻散曲線,而本文還利用慢度與特徵值的關係來判別在不同情形下的波傳特性。 | zh_TW |
dc.description.abstract | This thesis bring up with a matrix-structured theorem to solve the wave propagation problem in piezoelectric material with periodic electrode distribution which combines plane wave expansion method and Stroh formalism. Starting with piezoelectric constitutive equation, governing equation can be derived from Newton’s motion equation and Gauss’s law. Then presuming that displacement and electrical potential are periodic function with the concept of Floquet theory. An eigen-value problem is obtained after substituting the assumed field into governing equation. Summing all eigen-vector of corresponding eigen-value with different coefficient to be determined to fulfill the general solution in the piezoelectric domain. The boundary condition of the electrode patch is represented by first order approximation of the electrode thickness. The dispersion relation of both open and short circuit is presented. The relation between impedance and frequency is also discussed. On the numerical, this thesis introduces a non-dimensionlize to the detail. And a quick approach to the dispersion relation using a method to continualize the dispersion function is introduced. Besides, this thesis differentiate the wave-propagate property of different situation with slowness and eigen-value. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T02:32:36Z (GMT). No. of bitstreams: 1 ntu-98-R94522526-1.pdf: 5185345 bytes, checksum: d7108cc9cfa17e02474482107e3031c8 (MD5) Previous issue date: 2009 | en |
dc.description.tableofcontents | 口試委員會審定書 I
致謝 II 摘要 III Abstract IV 目錄 V 表目錄 VII 圖目錄 VIII 符號表 XI 第一章 緒論 1 1.1. 研究動機 1 1.2. 文獻回顧 2 1.3. 研究目的與內容簡介 5 第二章 壓電材料之二維穩態波傳理論 7 2.1. 準靜態下之壓電統御方程式 7 2.2. 位移及電位之週期函數展開 11 2.3. 壓電材料穩態波傳之通解 15 2.4. 特徵值與慢度曲線 27 2.5. 材料對稱性與波傳形式 31 2.5.1. 偶數次特徵方程式 31 2.5.2. 解耦之處理 37 第三章 頻散曲線及阻抗分析 42 3.1. 各層材料之通解 42 3.1.1. 氧化鋅材薄膜 43 3.1.2. 玻璃基板 52 3.1.3. 空氣 57 3.2. 具週期性電極之邊界條件 60 3.2.1. 半無限域之機械及電邊界條件 60 3.2.2. 下邊界之機械及電邊界條件 60 3.2.3. 上邊界週期性機械邊界條件 63 3.2.4. 上週期性邊界之電邊界條件 66 3.2.5. 邊界條件之正交性積分 69 3.3. 頻散關係式與指叉電極阻抗分析 71 3.3.1. 週期性短路電極之頻散關係 73 3.3.2. 週期性開路電極之頻散關係 73 3.3.3. 指叉電極之電阻抗分析 75 第四章 數值計算 77 4.1. 無因次化係數 77 4.2. 頻散關係式的函數連續化 80 4.3. 數值方法 82 4.3.1. 特徵值與特徵向量之數值方法 82 4.3.2. 非線性方程式之數值方法 82 4.3.3. 頻散關係式之數值方法 84 4.4. 收歛性分析 86 4.5. 退化矩陣與奇異點 88 4.6. 結果討論 90 第五章 結論與建議 95 參考文獻 97 附表 100 附圖 102 | |
dc.language.iso | zh-TW | |
dc.title | 具週期性電極之壓電薄膜阻抗分析 | zh_TW |
dc.title | Impedance Analysis of Piezoelectric Film with Periodic Electrodes | en |
dc.type | Thesis | |
dc.date.schoolyear | 97-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 張家歐,盧中仁 | |
dc.subject.keyword | Floquet定理,平面波展開法,Stroh法,頻散曲線,阻抗分析,慢度關係式, | zh_TW |
dc.subject.keyword | Floquet theory,plane wave expansion method,Stroh formalism,dispersion relation,impedance analysis,slowness relation, | en |
dc.relation.page | 135 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2009-08-14 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
顯示於系所單位: | 機械工程學系 |
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