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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/25619完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 周元昉 | |
| dc.contributor.author | Kuan-Yu Chen | en |
| dc.contributor.author | 陳冠宇 | zh_TW |
| dc.date.accessioned | 2021-06-08T06:21:32Z | - |
| dc.date.copyright | 2006-08-09 | |
| dc.date.issued | 2006 | |
| dc.date.submitted | 2006-07-31 | |
| dc.identifier.citation | [1] K. F. Graff, Wave Motion in Elastic Solids, Chapter 8, Dover Publication, New York, 1991.
[2] H. Ekstein, “High Frequency Vibrations of Thin Crystal Plates”, Physical Review, Vol. 68, No. 1 and 2, pp. 11-23, 1945. [3] R. D. Mindlin, “Waves and Vibrations in Isotropic, Elastic Plates”, Structural Mechanics, Eds. J. N. Goodier and N. J. Hoff, Pergamon Press., 1960. [4] H. F. Tiersten, “Thickness Vibrations of Piezoelectric Plates”, The Journal of the Acoustical Society of America, Vol. 35, No. 1, pp. 53-58, 1963. [5] H. F. Tiersten, “Wave Propagation in an Infinite Piezoelectric Plate”, The Journal of the Acoustical Society of America, Vol. 35, No. 2, pp. 234-239, 1963. [6] R. D. Mindlin, “Thickness-Twist Vibrations of an Infinite Monoclinic, Crystal Plate”, International Journal of Solids and Structures, Vol. 1, pp. 141-145, 1965. [7] H. S. Paul, ”Vibrational Waves in a Thick Infinite Plate of Piezoelectric Crystal”, The Journal of the Acoustical Society of America, Vol. 44, No. 2, pp. 478-482, 1968. [8] J. L. Bleustein, “Some Simple Modes of Wave Propagation in an Infinite Piezoelectric Plate”, The Journal of the Acoustical Society of America, Vol. 45, No. 3, pp. 614-620,1969. [9] S. Syngellakis and P. C. Y. Lee, “Piezoelectric Wave Dispersion Curves for Ininite Anisotropic Plates”, Journal of Applied Physics, Vol. 73, No. 11, pp. 7152-7161, 1993. [10] D. C. Gazis and R. D. Mindlin, “Extensional Vibrations and Waves in a Circular Disk and a Semi-Infinite Plate”, Journal of Applied Mechanics, Vol. 27, pp. 541-547, 1960. [11] Seiji Ikegami, Ichiro Ueda, and Shigeru Kobayashi, “Frequency Spectra of Resonant Vibration in Disk Plates of PbTiO3 Piezoelectric Ceramics”, The Journal of the Acoustical Society of America, Vol. 55, No. 2, pp. 339-344, 1974. [12] J. R. Hutchinson, “Axisymmetric Flexural Vibrations of a Thick Free Circular Plate”, Journal of Applied Mechanics, Vol. 46, pp. 139-144, 1979. [13] R. L. Weaver and Y. H. Pao, “Axisymmetric Elastic Waves Excited by a Point Source in a Plate”, Journal of Applied Mechanics, Vol. 49, pp. 821-836, 1982. [14] C. P. Lusher and W. N. Hardy, “Axisymmetric Free Vibrations of a Transversely Isotropic Finite Cylindrical Rod”, Journal of Applied Mechanics, Vol. 55, pp. 855-862, 1988. [15] H. S. Paul and K. Natarajan, “Flexural Vibration in a Finite Piezoelectric Circular Cylinder of Crystal Class 6mm”, International Journal of Engineering Science, Vol. 32, No. 8, pp. 1303-1314,1994 [16] S. H. Chang, B. C. Du and J. F. Lin, “Electro-Elastic Modeling of Annular Piezoceramic Actuating Disk Transducers”, Journal of Intelligent Material Systems and Structures, Vol. 10, pp. 410-421, 1999. [17] C. H. Huang, C. C. Ma and Y. C. Lin, “Theoretical, Numerical, and Experimental Investigation on Resonant Vibrations of Piezoceramic Annular Disks”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 52, No. 8, pp. 1204-1216, 2005. [18] Daniel Royer, Eugene Dieulesaint, Elastic Waves in Solids, Springer,1999 [19] Ian N. Sneddon, Fourier Transforms, McGraw-Hill, 1951 [20] Ian N. Sneddon, The Use of Integral Transforms, McGraw-Hill, 1972 [21] 林新峰，無限大PZT平板之波動研究，國立台灣大學機械工程研所 碩士論文 [22] B.Jaffe, H. Cook, H. Jaffe, Piezoelectric Ceramics, Academic Press, 1971. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/25619 | - |
| dc.description.abstract | 利用壓電材料之壓電效應與諧振特性設計壓電元件，其中頻譜圖為重要依據。由壓電波傳的頻譜關係，可以了解不同模態之頻率與波數的關係，並可得到介質中位移與電位的場形，藉此設計壓電元件。因此，本文將分析無限大壓電平板軸對稱波傳行為，求得平板之波傳頻譜；進而探討壓電圓板與壓電圓環內各物理量之場形。
本文首先將分析無限大壓電平板，在上下表面為皆有電極與皆無電極之軸對稱波傳頻譜，求解過程中利用Hankel轉換將微分方程式轉為代數式，求得板內位移與電位之正解，進而求得軸對稱波傳頻譜；而對於壓電圓板與壓電圓環之邊界，則考慮徑向機械邊界條件為混合型邊界條件，求出符合此邊界條件之正解，進而求得板內與環內各物理量場形。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2021-06-08T06:21:32Z (GMT). No. of bitstreams: 1 ntu-95-R93522512-1.pdf: 6308268 bytes, checksum: 3f37ef202ddbab1aa575a660d0b445af (MD5) Previous issue date: 2006 | en |
| dc.description.tableofcontents | 中文摘要 i
英文摘要 ii 目錄 iii 表目錄 v 圖目錄 viii 符號表 xxiii 第一章 緒論 1 1.1 研究動機 1 1.2 文獻回顧 1 1.3本文目的與內容簡介 4 第二章 無限大PZT平板之軸對稱波傳 6 2.1 PZT壓電材料簡介 6 2.2無限大PZT平板內的軸對稱波傳 7 2.2.1統御方程式 7 2.2.2 Hankel轉換 9 2.3 邊界條件的影響 13 2.3.1 上下表面皆有電極 13 2.3.2 上下表面皆無電極 16 2.4 厚度振動 18 2.4.1上下表面皆有電極 20 2.4.2上下表面皆無電極 23 2.5 無限大PZT平板之頻譜 25 第三章 PZT圓板之軸對稱波傳 27 3.1 上下表面皆有電極之PZT圓板 28 3.1.1 r方向場形 28 3.1.2 z方向場形 29 3.2上下表面皆無電極之PZT圓板 31 3.2.1 r方向場形 31 3.2.2 z方向場形 31 3.3 上下表面電性邊界條件的影響 32 第四章 PZT圓環之軸對稱波傳 34 4.1上下表面皆有電極之PZT圓環 38 4.1.1 r方向場形 40 4.1.2 z方向場形 41 4.2上下表面皆無電極之PZT圓環 42 4.2.1 r方向場形 44 4.2.2 z方向場形 45 4.3 壓電圓環與壓電圓板之比較 46 第五章 結論與建議 48 參考文獻 50 附表 53 附圖 69 附錄A 223 附錄B 225 附錄C 226 | |
| dc.language.iso | zh-TW | |
| dc.subject | 圓環 | zh_TW |
| dc.subject | 軸對稱 | zh_TW |
| dc.subject | Hankel轉換 | zh_TW |
| dc.subject | 圓板 | zh_TW |
| dc.subject | disk | en |
| dc.subject | annular disk | en |
| dc.subject | Hankel transform | en |
| dc.subject | axisymmetric | en |
| dc.title | 壓電圓板的軸對稱波傳研究 | zh_TW |
| dc.title | Axisymmetric Wave Propagation in Circular Piezoelectric Plate | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 94-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 郭茂坤,盧中仁 | |
| dc.subject.keyword | 軸對稱,Hankel轉換,圓板,圓環, | zh_TW |
| dc.subject.keyword | axisymmetric,Hankel transform,disk,annular disk, | en |
| dc.relation.page | 230 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2006-08-01 | |
| 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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