臺灣博碩士論文加值系統

當一導體線圈在磁場中運動，依據電磁學理論，會產生感應電流，此感應電流會形成與運動方向相反之勞倫茲力，控制線圈移動。利用此原理，製作出一電磁阻尼器，將阻尼器安裝於振動系統上，以有效減緩系統振動的振幅。在本文中，先進行單自由度的被動式與主動式控制實驗的數值模擬，之後以未外加任何感測元件與外加能量，將阻尼器應用在懸臂梁的振動控制上進行被動式控制實驗，改變影響控制效果的各個參數(頻率、線圈匝數)，並與模擬結果相互印證，發現振動的振幅確實能夠有效降低。在主動式控制實驗中，則是利用外加電子電路，放大感應電流與勞倫茲力，更進一步改善被動控制效果。最後，以噪音訊號(noise)輸入系統激振，亦有良好的減振效果。

In accordance with electromagnetic theory, when a conductive wire moves in a uniform magnetic field. It will generate an inductive current. And the charges of this induced current under the action of applied magnetic field experience a Lorentz force, and pass this Lorentz force whose direction is opposite to the moving direction of the wire, to the wire. According to this counteracting phenomenon, we make an electromagnetic damper and apply it to vibration control of cantilever beam. In this thesis, we first establish equations of vibration and simulate numerical active and passive. Next, we perform experimental test of passive vibration control and study the effect of system parameters on the alleviating the vibration amplitude. This agrees will with simulation results. In the active vibration control experiment, we add an electric circuit which can amplifier Lorentz force and therefore improve the control result. Finally, we also perform the experimental test of noise control and find that the result of amplitude reducing is very good.

口試委員會審定書..............................I
誌謝.........................................II
中文摘要....................................III
英文摘要.....................................IV
目錄..........................................V
圖目錄......................................VII
表目錄.....................................XIII
第一章 導論.................................1
1-1 前言.................................1
1-2 文獻回顧.............................2
第二章 電磁阻尼器原理.......................4
2-1 被動式阻尼器之原理....................4
2-2 控制電路..............................7
2-3 單自由度電磁阻尼器之運動方程式.......10
2-4 被動式電磁阻尼器之控制效果探討.......13
2-5 主動式電磁阻尼器之控制效果探討.......32
第三章 電磁阻尼器之設計......................43
3-1 實驗設備與元件.......................43
3-2 被動式電磁阻尼器實驗架構與步驟.......53
3-3主動式電磁阻尼器實驗架構與步驟........55
第四章 實驗結果分析與探討....................58
4-1 被動式振動控制實驗...................58
4-2 主動式振動控制實驗.......................66
第五章 結論..................................82
參考文獻.....................................83
附錄A........................................85
附錄B........................................88

[1] Eiji Nakamoto,“Electromagnetic and structural coupled finite element analysis of active control in an anti-vibration device.”,IEEE Transaction on magnetic. VOL. 33. NO. 2. March 1997.

[2] T.Y. Chung,“Active control on the structural ibration under base excitations using a linear oscillatory actuator.”,Int. J. of Applied Electromagnetics and Mechanics 10 (1999) 203-214.

[3] Takeshi MIZUNO, Takefumi TOUMIYA and Masaya TAKASAKI “Vibration Isolation System Using Negative Stiffness.”,JSME International Journal Series C, Vol. 46, No. 3, 2003.

[4] Andrew J. Fleming, Sam Behrens and S. O. Reza Moheimani“Active LQR and H2 shunt control of electromagnetic transducers”,Proceedings of the 42nd IEEE. Conference on Decision and Control. Maui, Hawali USA, December 2003

[5] Henry A. Sodano, Jae-Sung Bae, Daniel J. Inman and W. Keith Belvin,“Improved Concept and Model of Eddy Current Damper.”,ASME Vol.128, JUNE 2006.

[6] Rogelio Palomera-Arias, Jerome J. Connor, John A. Ochsendorf,“Feasibility Study of Passive Electromagneitc Damping Sysetems.”,Journal of structural engineering. ASCE/ January 2008.

[7] Andrew J. Fleming, S. O. Reza Moheimani, “Inertial Vibration Control Using a Shunted Electromagnetic Transducer. ” IEEE/ASME Transactions on Mechatoronics,
Vol. 11, No.1, Feb. 2006, pp. 84-92.

[8] Takeshi Mizuno, “Analysis on the Fundamental Properties of Active Magnetic Bearing Control Systems by a Transfer Function Approach.”, JSME, Vol. 44, No. 2.
pp. 807-812. 2003.

[9]Zoya Popovic, Branko D. Popovic, “Introductiory Electromagnetics.”, Prentice Hall.

[10]金重勳,“磁性技術手冊”,中華民國磁性技術協會.

[11]Rizzoni, “Principles and Applications of Electrical Engineering.”, Mc Graw Hill.

[12]Rolf Schaumann, Van Valkenburg, “Design of Analog Filters.”, Oxford.

[13]Meirovitch, “Elements of Vibration Analysis.”, McGraw Hill.

[14]洪維恩, “Mathematica 5.”, �眳p資訊.

[15]Dennis G. Zill, Michael R. Cullen, “Advanced Engineering Mathematics.”, Jones and Bartlett.

[16] David J. Griffiths, “Introduction to Electrodynamics.”, Third Edition, Prentice Hall.

[17]張碩,“自動控制系統”,鼎茂.

[18]王柏村,“振動學”,全華.

[19]郭正融,“被動式電磁感應減振器之設計與研究”,國立台灣大學應用力學研究所碩士論文,2006.

[20]李奕德, “壓電分流電路應用於主被動振動控制”, 國立台灣
大學應用力學研究所碩士論文,2001.