請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/79939完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 林太家 (Tai-Chia Lin) | |
| dc.contributor.author | Chi-An Chen | en |
| dc.contributor.author | 陳祁安 | zh_TW |
| dc.date.accessioned | 2022-11-23T09:17:36Z | - |
| dc.date.available | 2021-08-06 | |
| dc.date.available | 2022-11-23T09:17:36Z | - |
| dc.date.copyright | 2021-08-06 | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-07-27 | |
| dc.identifier.citation | [1] Henno Allik and Thomas JR Hughes. Finite element method for piezoelectric vibration. International journal for numerical methods in engineering, 2(2):151-157, 1970. [2] Valentin Bolborici, Francis P Dawson, and Mary C Pugh. Modeling of piezoelectric devices with the finite volume method. IEEE transactions on ultrasonics, ferroelectric, and frequency control, 57(7):1673-1691, 2010. [3] Markys G Cain and Mark Stewart. Piezoelectric resonance. In Characterisation of Ferroelectric Bulk Materials and Thin Films, pages 15-35. Springer, 2014. [4] Shigenobu Itoh. Derivation of chebyshev differentiation matrix. 2019. [5] Reinhard Lerch. Simulation of piezoelectric devices by two-and three-dimensional finite elements. IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 37(3):233-247, 1990. [6] Ralph C Smith. Smart material systems: model development. SIAM, 2005. [7] Henry Frank Tiersten. Linear Piezoelectric Plate Vibrations: Elements of the Linear Theory of Piezoelectricity and the Vibrations Piezoelectric Plates. Springer, 2013. [8] Lloyd N Trefethen. Spectral methods in MATLAB. SIAM, 2000. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/79939 | - |
| dc.description.abstract | 本研究使用張量符號推導壓電本構方程式以及其偏微分方程模型。我們考慮在穩定狀態以及單一震盪頻率下的情形，並透過柴比雪夫擬譜方法來對函數的空間微分進行離散化。透過調整頻率的大小，我們找出材料的共振頻譜。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-23T09:17:36Z (GMT). No. of bitstreams: 1 U0001-2707202111363900.pdf: 7938475 bytes, checksum: e3e692a779c4986c9493e3f9fb025216 (MD5) Previous issue date: 2021 | en |
| dc.description.tableofcontents | Contents Abstract i List of Figures iii List of Tables vi 1 Introduction 1 2 The Piezoelectric Equations 4 2.1 Mechanical Considerations . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.1.1 The Stress Tensor . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.1.2 The Infinitesimal Displacement Field . . . . . . . . . . . . . . . 7 2.2 Electromagnetic Considerations . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Energy Considerations . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3 Numerical Methods 16 3.1 The Chebyshev Differentiation Matrix . . . . . . . . . . . . . . . . . . . 16 3.2 Discretization of Equations . . . . . . . . . . . . . . . . . . . . . . . . . 18 4 Simulation Results 23 4.1 Steady State . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.2 Time-Periodic Fully Developed Type . . . . . . . . . . . . . . . . . . . . 27 4.3 Resonance Spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Conclusion 31 Reference 33 | |
| dc.language.iso | en | |
| dc.subject | 柴比雪夫 | zh_TW |
| dc.subject | 擬譜 | zh_TW |
| dc.subject | 壓電 | zh_TW |
| dc.subject | 共振 | zh_TW |
| dc.subject | 穩態 | zh_TW |
| dc.subject | 偏微分 | zh_TW |
| dc.subject | resonance | en |
| dc.subject | PDE | en |
| dc.subject | piezoelectric | en |
| dc.subject | Chebyshev | en |
| dc.subject | pseudospectral | en |
| dc.subject | steady-state | en |
| dc.subject | fully-developed | en |
| dc.title | 應用柴比雪夫擬譜方法於壓電材料模型 | zh_TW |
| dc.title | Modeling of Piezoelectric Devices with Chebyshev Pseudospectral Method | en |
| dc.date.schoolyear | 109-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.coadvisor | 洪子倫(Tzyy-Leng Horng) | |
| dc.contributor.oralexamcommittee | 陳俊全(Hsin-Tsai Liu),(Chih-Yang Tseng) | |
| dc.subject.keyword | 壓電,偏微分,柴比雪夫,擬譜,穩態,共振, | zh_TW |
| dc.subject.keyword | piezoelectric,PDE,Chebyshev,pseudospectral,steady-state,fully-developed,resonance, | en |
| dc.relation.page | 33 | |
| dc.identifier.doi | 10.6342/NTU202101790 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2021-07-28 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 應用數學科學研究所 | zh_TW |
| 顯示於系所單位： | 應用數學科學研究所 | |
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| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| U0001-2707202111363900.pdf | 7.75 MB | Adobe PDF | 檢視/開啟 |
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