簡易檢索 / 詳目顯示

研究生: 詹志凡
chih-fan chan
論文名稱: 多疊圓板具彈簧與厚度失調之振動分析
Vibration Analysis of Stacked Disks with Spring and Thickness Mistunes
指導教授: 黃世欽
Shyh-Chin Huang
口試委員: 呂森林
Sen-Lin Lu
于善淳
Shan-chun Yu
學位類別: 碩士
Master
系所名稱: 工程學院 - 機械工程系
Department of Mechanical Engineering
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 92
中文關鍵詞: 多疊圓板接納法失調振動
外文關鍵詞: stacked, circular plate, receptance method, mistune, vibration
相關次數: 點閱:330下載:1
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報

本研究應用接納法(receptance method)模擬電腦硬碟機之多疊圓板振動特性,將硬碟之多層碟片模擬成多疊圓板,並將讀寫頭與懸臂之特性模擬成單點彈簧耦合圓板。以期探討硬碟機發生碟片厚度失調或讀寫頭懸臂勁度失調所產生之影響。
文中首先探討旋轉單圓板之動態特性,續以接納法求得完美協調多疊旋轉圓板系統之固有模態,最後探討系統圓板厚度失調與彈簧勁度失調,並分析其固有頻率與固有模態。經數值結果得知失調將改變系統之固有頻率與固有模態,並產生模態局部化(mode localization)與模態轉換(mode exchange)之特殊現象,文中探討發生此現象之原因,並對所得結果以物理觀點解釋之。


The purpose of this paper is to study the vibration analysis of stacked disks with spring and thickness mistunes. First, via the principle of energy, we derive the equation of motion of a spinning circular plate. Galerkin’s method is then employed for an approximate solution of the spinning circular plate. The receptance method follows to join the spinning circular plates(discs) and the springs(stiffness of read/write head and cantilever), and obtain the natural frequencies and mode shapes of stacked disks system.
Numerical results for three combine situation, perfect, with spring mistune, with thickness mistune. The results show that mistunes can produce a change in the natural frequencies and natural mode of system. Besides, the natural modes occur mode localization and mode exchange as the system with thickness mistune. These phenomena are illustrated in various figures, and they are explained from both physical and mathematical points of view.

摘要I ABSTRACTII 誌謝III 目錄IV 圖表索引VI 符號索引IX 第一章 緒論1 1.1研究動機與目的1 1.2文獻回顧2 1.3本文架構3 第二章 旋轉圓板之振動分析6 2.1旋轉圓板之運動方程式6 2.2運動方程式之離散化與固有頻率11 2.3旋轉圓板自由振動之數值結果13 2.4受力振動分析15 第三章 多疊圓板系統之振動分析25 3.1接納法理論25 3.2旋轉圓板承受橫向負荷系統之接納度27 3.3 多疊圓板系統之頻率方程式28 3.4 多疊圓板系統之固有模態31 第四章 多疊圓板系統具失調之振動分析38 4.1多疊圓板系統具圓板厚度失調之頻率與模態38 4.1.1 厚度失調之接納度39 4.1.2 厚度失調之頻率方程式40 4.1.3 厚度失調之固有模態40 4.2多疊圓板系統具彈簧勁度失調之頻率與模態42 4.2.1 勁度失調之接納度與頻率方程式42 4.2.2 勁度失調之固有模態43 第五章 數值結果與討論46 5.1多疊圓板系統之頻率與模態46 5.2多疊圓板系統具圓板厚度失調之頻率與模態49 5.3多疊圓板系統具彈簧勁度失調之頻率與模態54 第六章 結論與未來展望85 6.1結論85 6.2未來展望88 參考文獻89 作者簡介92

[1]Bishop, R. E. D. and Johnson, D. C., The Mechanics of Vibration, Cambridge University Press, London(1960).
[2]Lamb, H. and Southwell, R. V., The Vibration of a Spinning Disk, Proceedings of the Royal Society, London, 99, pp. 272-280(1921).
[3]Southwell, R. V., On the Free Transverse Vibration of a Uniform Circular Disk at Its Center and on the Effects of Rotating, Proc-eedings of the Royal Society, London, 101, pp. 133-153(1921).
[4]Vogel, S. M. and Skinner, D. W., Natural Frequencies of Transversely Vibrating Uniform Annular Plates, Transaction ASME, Journal of Applied Mechanics, 32, pp. 926-931(1965).
[5]Mote, C. D. Jr., Free Vibrations of Initially Stressed Circular Disks, Journal of Eng. Ind., 87(2), pp. 258-264(1965).
[6]Benson, R. C. and Bogy, D. B., Deflection of a Very Flexible Spinning Disk Due to a Stationary Transverse Load, Transaction ASME, Journal of Applied Mechanics, 45, pp. 636-642(1978)
[7]Iwan, W. D. and Stahl, K. J., Response of an Elastic Disk With a Moving Mass System, Transaction ASME, Journal of Mechanical Engineering, 40(2), pp. 445-451(1973).
[8]Chen, J. S. and Bogy, D. B., Effects of Load Parameters on the Natural Frequencies and Stability of a Flexible Spinning Disk With a Stationary Load System, Transaction ASME, Journal of Applied Mechanics, 59, pp. 230-235(1992).
[9]Chen, J. S. and Bogy, D. B., Natural Frequencies and Stability of a Flexible Spinning Disk-Stationary Load System With Rigid-Body Tilting, Transaction ASME, Journal of Applied Mechanics, 60, pp. 470-477(1993).
[10]Huang, S. C. and Chiou, W. J., Modeling and Vibration Analysis ofSpinning-Disk and Moving-Head Assembly in Computer Storage System, Transaction of the ASME, Journal of Vibration and Acoustics, 119(2), pp. 185-191(1997).
[11]Huang, S. C. and Yu, S. C., On the Free Vibration of Rotating Annular Plates Elastically Restrained at Discrete Locations, Journal of the Chinese Society of Mechanical Engineers, 11(6), pp. 488-498(1990).
[12]Huang, S. C. and Hsu, B. S., Resonant Phenomena of a RotatingCylindrical Shell Subjected to a Harmonic Moving Load, Journal of Sound and Vibration, 136(2), pp. 215-228(1990).
[13]Huang, S. C. and Hsu, B. S., Theory of Receptance Applied to Modal Analysis of a Spinning Disk With Interior Multi-Point Supports, Transaction of the ASME, Journal of Vibration and Acoustics, 114, pp. 468-476(1992).
[14]Huang, S. C. and Hsu, B. S., Vibrations of a Spinning Annular Plate With Multi-Circular Line Guides, Journal of Sound and Vibration, 164(3), pp. 535-547(1993).
[15]Chiou, W. J. and Huang, S. C., Modeling and Vibration Simulation of a Spinning PC Hard Disk, Proceedings of the 10th National Conference of the CSME, pp. 667-677 (1993).
[16]Shen, I. Y. and Ku, C. P. R., A Nonclassic Vibration Analysis of a Multiple Rotating Disk and Spindle Assembly, Transaction ASME, Journal of Applied Mechanics, 64, pp. 165-174(1997).
[17]Shen, I. Y., Closed-Form Forced Response of a Damped, Rotaing, Multiple Disks/Spindle Assembly, Transaction ASME, Journal of Applied Mechanics, 64, pp. 343-352(1997).
[18]Orgun, C. O. and Tongue, B. H., Mode Localization in Coupled Circular Plates, Transaction of the ASME, Journal of Vibration and Acoustics, 116, pp. 555-561(1994).
[19]Orgun, C. O. and Tongue, B. H., On Localization in Coupled Spinning, Circular Plates, Transaction of the ASME, Journal of Vibration and Acoustics, 116, pp. 555-561(1994).
[20]陳學穎,電腦多層疊碟片之模擬與振動分析,國立台灣科技大學機械工程研究所碩士學位論文(2004)。
[21]Leissa, A. W., Vibration of Plates, Scientific and Technical Information Division National Aeronautics and Space Administration(1969).

QR CODE