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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 張家歐(Chia-Ou Chang) | |
| dc.contributor.author | Po-Chao Chen | en |
| dc.contributor.author | 陳柏超 | zh_TW |
| dc.date.accessioned | 2021-07-11T14:35:44Z | - |
| dc.date.available | 2022-09-04 | |
| dc.date.copyright | 2017-09-04 | |
| dc.date.issued | 2017 | |
| dc.date.submitted | 2017-08-20 | |
| dc.identifier.citation | [1]David M. Rozell, 2009, 'The Hemispherical Resonator Gyro: From Wineglass to the Planets,' Proc. 19th AAS/AIAA Space Flight Mechanics Meeting, pp.1157-1178.
[2]A.D. Meyer and D.M. Rozelle, 2012, “Milli-HRG inertial navigation system,” Position Location and Navigation Symposium (PLANS), IEEE/ION, 23-26 April 2012, pp.24-29. [3]Rayleigh, L, 1881, “On the Infinitesimal Bending of Surfaces of Revolution,” Proc. Math. Soc., London, Vol.13, pp. 4-16. [4]Love, A. E. H., 1888, “On th Small Free Vibrations and Deformation on Thin Elastic Shells,” Phil. Transactions Roy. Soc., A179, pp. 491-546. [5]Washizu, K., 1980, Variational Methods in Elasticity and Plasticit, Pergamon Press Ltd., 3rd. [6]Niordson, F. I., 1985, Shell Theory, North Holland, Amsterdam. [7]Bryan, G. H., 1890, “On the Beats in the Vibrations of a Revolving Cylinder or Bell,” Proc. Cambridge Philos. Soc., Vol. VII, Nov. 24, pp. 101-111. [8]Quick, W. H, 1964, “Theory of the Vibrating String as an Angular Motion Sensor,” Transactions ASME, J. Appl. Mech., pp. 523-534 [9]Friedland, Bernard and Maurice F. Hutton,1978, “Theory and Error Analysis of Vibrating-Member Gyroscope,” IEEE Transactions on Automatic Control, Vol. AC-2345, No. 4, pp. 545-556 [10]Chang, C. O., Hwang , J. J., and Chou, C. S., 1996, “Modal Procession of a Rotating Hemispherical Shell,” International Journal of Solids and Structures, Vol. 33, No. 19, pp. 2739-2757. [11]Chou, C. S., Chang, C. O., and Huang, J. J., 1996, “The Vibration of a Rotating Hemispherical Shell Excited by Electrostatic Field,” International Journal of Applied Electromagnetics in Materials, Vol. 7, No. 2, pp. 21-42. [12]Chou, C. S., and Chang, C. O., 1997, “Modal Precession of a Hemispherical Shell Gyro Excited by Electrostatic Field,” Japanese Journal of Applied Physics, Vol. 36, No. 11, pp. 7073- 7081. [13]Chou, C. S., Chang, C. O., and Huang, J. J., 1999, “Vibration of a Hemispherical Shell Gyro Excited by an Electrostatic Field,” International Journal of Applied Electromagnetics in Materials, Vol. 10, No. 4, pp. 425-49. [14]黃正吉，1993，半圓球殼諧振陀螺儀的動力分析，博士論文，台灣大學應用力學研究所。 [15]謝發華，2001，壓電驅動半圓球殼振動陀螺儀原理與誤差分析，博士論文，台灣大學應用力學研究所。 [16]謝發華，2013，殼振動陀螺儀原理分析，中山科學研究院。 [17]陳劭詮，2014，諧振半球殼缺陷分析與控制，碩士論文，台灣大學應用力學研究所。 [18]王文呈，2014，諧振半球殼質量補償模擬與分析，碩士論文，台灣大學應用力學研究所。 [19]林思嘉，2015，瑕疵諧振半球殼之頻率分析與修正，碩士論文，台灣大學應用力學研究所。 [20]Jae Yoong Cho; Najafi, K., 2015, “A high-q all-fused silica solid-stem wineglass hemispherical resonator formed using micro blow torching and welding, ” Micro Electro Mechanical Systems (MEMS), pp.821,824, 18-22 Jan. [21]Qian Yang; Guoxing Yi; Bochang Shen; Henian Wang, 2006, 'Kinetic model analysis and testing of HRG,' Systems and Control in Aerospace and Astronautics, ., pp.5 pp.,109 [22]Shengli Gao; Jiantong Wu, 2007, 'Theory and Finite Element Analysis of HRG,' International Conference on Mechatronics and Automation, pp.2768,2772. [23]CORNING, “Corning® HPFS® 7979, 7980, 8655 Fused Silica” [24]翁銘宗，2015，諧振半球殼參數設計與質量瑕疵數值模擬，碩士論文，台灣大學應用力學研究所。 [25]簡孟俞，2016，諧振半球殼之電極分析與質量瑕疵修正，碩士論文，台灣大學應用力學研究所。 [26]曾子恒，2016，瑕疵石英諧振半球殼之有限元素法分析與修正，碩士論文，台灣大學應用力學研究所。 [27]Lynch, D. D., 1995, “Vibratory gyro analysis by the method of averaging,” IN proceedings of the 2nd International Conference on Gyroscopic Technology and Navigation, Sant Petersburg, Russia, 24-25 May 1995; pp. 26-34. [28]P. W. Loveday and C. A. Rogers, 1999, “The Influence of Control System Design On The Performance of Vibratory Gyroscopes, ” Journal of Sound and Vibration 2002 255(3), pp. 417-432. [29]Jungshin Lee*, Sung Wook Yun and Jaewook Rhim, 2016,“Design and Verification of a Digital Controller for a 2-Piece Hemispherical Resonator Gyroscope, ” Sensors 2016,16 , 555. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/77836 | - |
| dc.description.abstract | 半圓球殼振動陀螺儀在加工過程中，會造成幾何、材料的不均而產生質量-勁度瑕疵，當半圓球殼具有質量-勁度與阻尼瑕疵時，其自然頻率會產生分歧，對於陀螺儀的使用造成影響，故本研究建立一個修正方法以避免瑕疵的存在造成陀螺儀使用上的問題。
瑕疵半圓球殼實務上是以雷射束去材料的方式進行質量-勁度修正，修正的位置於低頻質量-勁度主軸，因此本文利用強迫振動的方式來找出質量-勁度主軸方向。另外，阻尼瑕疵可於阻尼主軸方向施加外力來消除，而當半圓球殼沒有質量-勁度度瑕疵時，可利用自由振動找出阻尼主軸的方向。 本研究也建立一個在卡氏座標上對半圓球殼振幅的控制器，於球殼上鍍電極，外圍配置驅動電極片，給予適當的電壓會產生靜電吸引力，利用此力來進行比例控制，使振幅達到理想的大小。 | zh_TW |
| dc.description.abstract | Mass-stiffness imperfections will be produced by geometric and material errors which would arise from the manufacturing process of hemispherical resonator gyroscope (HRG). When there exists mass-stiffness and damping imperfections in hemispherical shell, it would make the natural frequency divergent and would have effect on the operation of gyroscope. In consequence, this study establishes a modified method to avoid the existence of imperfections.
In practice, the mass-stiffness of the defective hemispherical shell would be corrected by a laser beams method, which is aimed at reducing materials, and the correction-needed place is in the low-frequency mass-stiffness principal axis. Hence, the article uses the forced vibration method to find the direction of the mass-stiffness principal axis. In addition, damping imperfections can be eliminated by exerting the external force in the direction of the damping principal axis. When there is no mass-stiffness imperfection in the hemispherical shell, the direction of the damping principal axis can be found by free vibration. In the study, we also design a controller to adjust the amplitude of the hemispherical shell in the generalized Cartesian coordinates. We coat the electrode sheets on the shell, configure drive electrode in the periphery and apply the appropriate voltage to bring about electrostatic attraction. Further, we make use of the electrostatic attraction to conduct proportional control to achieve the satisfactory amplitude. | en |
| dc.description.provenance | Made available in DSpace on 2021-07-11T14:35:44Z (GMT). No. of bitstreams: 1 ntu-106-R04543011-1.pdf: 4866646 bytes, checksum: 68d51c21ddf846e552e5a1e7a102a245 (MD5) Previous issue date: 2017 | en |
| dc.description.tableofcontents | 口試委員會審定書 i
誌謝 ii 中文摘要 iii ABSTRACT iv 目錄 v 表目錄 viii 圖目錄 ix 第一章 緒論 1 1.1 前言 1 1.2 文獻回顧 3 1.3 論文架構 5 第二章 半圓球殼振動陀螺儀運動方程式 6 2.1 座標系統 6 2.1.1卡氏座標與拉格朗日曲線座標系統 6 2.1.2球座標系統 7 2.2 半圓球殼之運動方程式 8 2.2.1 雷利近似解特徵模態展開法 8 2.3 半圓球殼振動陀螺儀之結構模型與數值模擬設定 13 2.3.1 半圓球殼振動陀螺儀結構模型 13 2.3.2 半圓球殼的幾何參數與材料參數 15 2.3.3 無瑕疵半圓球殼的模態與頻率 16 第三章 瑕疵半球殼之質量-勁度主軸角度分析 17 3.1 瑕疵半圓球殼振動陀螺儀運動方程式[27] 17 3.1.1 以物理模型建立含質量-勁度瑕疵的運動方程式 17 3.1.2 以物理模型建立含阻尼瑕疵的運動方程式 23 3.1.3 瑕疵半圓球殼振動陀螺儀運動方程式 27 3.2 質量-勁度主軸的角位置分析 28 3.2.1 存在質量-勁度瑕疵半圓球殼之自由振動 28 3.2.2 同時存在質量-勁度與阻尼瑕疵半圓球殼之自由振動 32 3.2.3 同時存在質量-勁度與阻尼瑕疵半圓球殼之強迫振動 40 3.3 實際參數下之質量-勁度主軸角位置分析 44 第四章 瑕疵半圓球殼之阻尼主軸角度分析 51 4.1 無質量-勁度瑕疵之瑕疵半圓球殼運動方程式 51 4.2 阻尼主軸的角位置分析 54 4.2.1 存在阻尼瑕疵半圓球殼之自由振動 54 4.3 阻尼係數分析 57 第五章 瑕疵半圓球殼在卡氏座標上之振幅控制 62 5.1 驅動軸與感測軸位移之慢變數方程式[28] 62 5.1.1半圓球殼運動方程式之降階 62 5.1.2 平均化方法(Method of Averaging) 66 5.2 控制系統在廣義卡氏座標的分析 66 5.2.1 無瑕疵無角速度 67 5.2.2 無瑕疵有角速度 70 5.2.3 有瑕疵有角速度 73 5.3 比例控制(Proportional Control) 75 5.3.1 改變比例增益值之比較 77 5.3.2 不同角速度之比較 80 5.3.3 不同頻率分歧率之比較 82 5.4 電場驅動力控制 85 5.4.1 電場驅動力 85 5.4.2 兩組四電極控制 86 5.4.3 控制電壓計算 88 第六章 結論 95 參考文獻 96 附錄A 99 | |
| dc.language.iso | zh-TW | |
| dc.subject | 電極控制 | zh_TW |
| dc.subject | 半圓球殼 | zh_TW |
| dc.subject | 陀螺儀 | zh_TW |
| dc.subject | HRG | zh_TW |
| dc.subject | 瑕疵 | zh_TW |
| dc.subject | 頻率分歧 | zh_TW |
| dc.subject | gyroscope | en |
| dc.subject | hemispherical shell | en |
| dc.subject | bifurcate frequency | en |
| dc.subject | electrode control | en |
| dc.subject | HRG | en |
| dc.subject | imperfections | en |
| dc.title | 在廣義卡氏座標下分析石英半球殼振子的瑕疵與控制器 | zh_TW |
| dc.title | Analysis on the Imperfaction and Controller of a Fused Quartz Hemispherical Shell Resonator in terms of Generalized Cartesian Coordinates | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 105-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.coadvisor | 張簡文添(Wen-Tien Chang-Chien) | |
| dc.contributor.oralexamcommittee | 謝發華,周傳心,陳柏志 | |
| dc.subject.keyword | 半圓球殼,陀螺儀,HRG,瑕疵,頻率分歧,電極控制, | zh_TW |
| dc.subject.keyword | hemispherical shell,gyroscope,HRG,imperfections,bifurcate frequency,electrode control, | en |
| dc.relation.page | 104 | |
| dc.identifier.doi | 10.6342/NTU201703909 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2017-08-20 | |
| 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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