低頻率振動彈簧鐵球系統非線性磁力控制之研究

NONLINEAR MAGNETIC CONTROL SYSTEM FOR LOW-NATURAL-FREQUENCY SPRING IRONBALL VIBRATIONS

王培錡(Pei-Chi Wang)

指導教授 ： 史耀東

大同大學/工程學院/機械工程學系所/碩士(2004年)

摘要

本文主要是在討論一個低頻率振動的的運動系統，而本系統為一個高度不穩定的非線性系統。利用改變電磁鐵中的電流，來控制導磁性運動物體的位置。如今,設計一個彈簧繫於物體的上方，電磁鐵置於下方，分析其運動狀態。將輸入的電壓的改變以兩個不同的係數分別乘上物體的位置和速度的和來表示，作為系統的回饋。採用4階的藍吉-庫塔法來求解磁性物體在不同 下的位置和運動狀態。最後以電流 ， < ，作為收斂準則，並討論系統在低頻率 的狀況下 值的收斂情形。

關鍵字

彈簧 ； 震動

並列摘要

This thesis present a low-natural-frequency motion system, and it is a highly unstable nonlinear system. The variation of the current in the electromagnet controls the position of magnetic object during motion process. At present, we set a spring with a magnetic object to suspend on ceiling and fix the electromagnet on the ground. Then, we can analyze the motioned situation of the system. The input voltage is the combination of position and velocity as the system feedback controller. Using the fourth-order Runge-Kutta method solve the position and motion of the magnetic object under the different . Finally, it is the convergent standard by value of , < , and discusses the convergent situation of .

並列關鍵字

spring ； vibration

參考文獻

[1]. Jayawant, B.V.; Sinha, P.K.; Wheeler, A.R. ; Whorlow, R.J. and Whillser, J. , “Development of 1-ton Magnetically Suspended Vehicle Using Controlled D.C. Electromagnets” Proc. IEEE, Vol. 123, No. 9, 1976, pp. 941~ 948

[2]. Sakae Yamamura and Hitoshi Yamaguchi, “Electromagnetic Levitation System by Means of Salient- Pole Type Magnets Coupled with Laminated Slotless Rails” IEEE Transactions on Vehicular Technology, Vol. 39, No. 1, 1990, pp. 83~87

[5]. Laithwaite, E.R., “Electromagnetic Levitation” Proc. IEEE, Vol. 122, No. 12, 1965, pp. 2361~2375

[7]. O. Tsukamoto, K. Yasuda and J. Z. Chen, “A New Magnetic Levitation System With AC Magnets” IEEE Transactions on Magnet, Vol. 24, No. 2, March 1988, pp. 1497~1500

[8]. C. S. Lin, Y. L. Lay, P. W. Chen, Y. J. Jain and S.W. Chen, “The Laser Displacement Measurement with Feedback Control in a Magnetic Levitation and Suspension System” Compute. Methods Appl. Engrg. 190, 2000, pp.25~34