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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 | Chi-Hsin Wang | en |
dc.contributor.author | 王祈欣 | zh_TW |
dc.date.accessioned | 2021-06-15T04:28:44Z | - |
dc.date.available | 2012-08-21 | |
dc.date.copyright | 2009-08-21 | |
dc.date.issued | 2009 | |
dc.date.submitted | 2009-08-20 | |
dc.identifier.citation | [1]
H. Kando, and Ritto, Boundary Acoustic Wave Filter, U. S. Patent No. 7310027, 2007. [2] L. Rayleigh, “On Waves Propagated along the Plane Surface of an Elastic Solid,” Proc. London Math. Soc., 17, 4-11, 1885. [3] A. E. H. Love, Some Problems of Geodynamics, Cambridge University Press, London, Chap. XI, p.160, 1911. [4] R. Stoneley, “Elastic Waves at the Surface of Separation of Two Solids,” Proc. R. Soc. Lond., A, 106, 416-428, 1924 [5] K. Sezawa & K. Kanai, “The Range of Possible Existence of Stoneley-waves,and Some Related Problems,” Bull. Earthq. Res. Inst. Tokyo Univ., 17, 1-8, 1938 [6] J. G. Scholte, “The Range of Existence of Rayleigh and Stoneley Waves,” Mon. Not. R. Astr. Soc. Geophys. Suppl., 5, 120-126, 1942 [7] Cagniard, Reflection and Refraction of Progressive Seismic Waves, trans. Flinn, E.A. & Dix. C.H., McGraw-Hill, New York, 1957. [8] T.E. Owen, “Surface Wave Phenomena in Utrasonics,” Prog. Appl. Mater. Res. 6, 69-86, 1964. [9] T. C. Lim, and M. J. P. Musgrave, “Stoneley Waves in Anisotropic Media,” Nat., 225, 372, 1970. [10] D. M. Barnett, J. Lothe., S. D. Gavazza, and M. J. P. Musgave, “Considerations of the Existence of Interfacial (Stoneley) Waves in Bonded Anisotropic Elastic Half-spaces,” Proc. R. Soc. Lond., A, 402, 153-166, 1985. [11] A. N. Stroh, “Dislocations and Cracks in Anisotropic Elasticity,” Philo. Mag., 5, 625-646, 1958. [12] M. Abbudi, and D. M. Barnett, “On the Existence of Interfacial (Stoneley) Waves in Bonded Piezoelectric Half-spaces,” Proc. R. Soc. Lond., A, 429, 587-611, 1990. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45585 | - |
dc.description.abstract | 本文為探討介面波的存在範圍,提出一套以拉普拉斯轉換求解半無窮域波傳問題的方法,將問題簡化為只有一個特徵值問題,降低以電腦進行數值運算上的難度。
首先對於兩個半無窮域的統御方程式對深度方向進行拉普拉斯轉換,再以介面上的邊界條件作為待定係數代入,在兩個材料間建立起關係,並分別求得兩材料內轉換後的位移場及電位場,以拉普拉斯反轉換將其轉換為空間的位移場及電位場,最終由判斷位移場及電位場是否會發散來取得介面波存在的條件而得出介面波問題的速度方程式。 為證明此法的適用性,首先以前述方法求得等向性材料的介面波速度方程式,其結果與前人所得相同無誤。再以拉普拉斯轉換法求取立方晶系材料間及鋰酸鈮壓電晶體與等向性材料間的介面波存在範圍,以討論材料參數對於存再犯為的影響。 | zh_TW |
dc.description.abstract | This thesis brings up a method to solve the wave propagating problem in semi-infinite medium based on Laplace transform. The treatment simplifies the problem, and become a single eigen-value problem to lower the difficulty on numerical processes.
The Laplace transform in thickness direction coordinate is applied to the governing equation at both sides of the interface firstly. Then substitute the boundary conditions which relate the two semi-infinite mediums as undetermined coefficients in the transformed governing equation. The displacement field and electrical potential field in transformed domain in both side of interface are them obtained, an inverse transform applied to which after that result in the displacement field and electrical potential field in the untransformed space. Afterward, a judgment of whether the field convergence at infinite, which is the existence condition of the interfacial wave is executed, deriving the velocity function of the interfacial wave propagating problem. To verify the validity of this process, the method above is used to compute the velocity function of interfacial wave for isotropic material. It comes out to be identical with that already done by other scholars. The Laplace transform method is then carried out to solve the existence range of interfacial wave among cubic cubic interface and isotropic interface to discuss the influence of material constants on the existence range of interfacial wave. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T04:28:44Z (GMT). No. of bitstreams: 1 ntu-98-R96522519-1.pdf: 2499996 bytes, checksum: 0d27a1610fe95bdd70a1f15250cded5e (MD5) Previous issue date: 2009 | en |
dc.description.tableofcontents | 中文摘要 I
Abstract II 目錄 III 圖目錄 V 符號表 VIII 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 3 第二章 以拉普拉斯轉換求取介面波存在範圍 4 2.1. 等向性彈性材料之統御方程式 4 2.2. In-plane系統的介面波 6 2.3. 介面波存在的條件 13 2.4. In-plane系統下介面波存在範圍 17 2.5. SH系統的介面波 19 第三章 立方晶系材料的介面波存在範圍 23 3.1. 統御方程式 23 3.2. In-plane系統的介面波 24 3.3. 介面波存在的條件 32 3.4. In-plane系統下介面波存在的範圍 35 3.4.1. 介面波存在的範圍 35 3.4.2. 材料參數對介面波存在範圍的影響 36 第四章 鋰酸鈮的介面波存在範圍 38 4.1. 統御方程式 38 4.1.1. 壓電統御方程式 38 4.1.2. 128° Y-X 鋰酸鈮的統御方程式 39 4.2. 128° Y-X 鋰酸鈮與等向性材料間的介面波 40 4.3. 介面波存在的條件 46 4.4. 128° Y-X 鋰酸鈮與等向性材料間介面波存在範圍 48 4.4.1. 介面波存在範圍 48 4.4.2. 材料參數對介面波存在範圍的影響 49 4.4.3. 介面波求解方法比較 50 第五章 結論與建議 52 參考文獻 53 附表 54 附圖 55 附錄 79 | |
dc.language.iso | zh-TW | |
dc.title | 鋰酸鈮與等向性材料介面波之研究 | zh_TW |
dc.title | Research on Interfacial Wave of Lithium Niobate and Isotropic Media | en |
dc.type | Thesis | |
dc.date.schoolyear | 97-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 盧中仁,楊哲化 | |
dc.subject.keyword | 介面波,拉普拉斯,鋰酸鈮, | zh_TW |
dc.subject.keyword | interfacial wave,sroneley wave,laplace,lithium niobate, | en |
dc.relation.page | 81 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2009-08-20 | |
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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