應用觀測器於光碟機自動平衡器減振控制 之實驗驗證

Experiment Validation of an Observer-based Reducing Vibration for an Auto-Balancer System of CD-ROM

陳泓霖(Hong-Lin Chen)

指導教授 ： 黃健生 ； 趙昌博

中原大學/工學院/機械工程研究所/碩士(2005年)

https://doi.org/10.6840/cycu200500770

摘要

目前設計的滾珠型自動平衡裝置是針對使用在CD/DVD-ROM。主要是針對主軸馬達之轉速控制，藉由改變轉速以改變滾珠之位置，使其滾珠落於所推測出之穩定位置並達成振動抑制。首先經由適當的假設，建立加裝自動平衡裝置後之系統數學模型，並透過Lagrange Equation的推導方式，推導出整個系統及自動平衡裝置中滾珠之動態方程式。在實驗裡，是透過頻率－電壓F/V轉換器作馬達轉速之感測器，由感測器所得之速度的回授訊號作為觀測器的輸入。在觀測器的設計上，設計一個非線性的滑動觀察器來估測自動平衡器中之滾珠位置與速度，並當作滾珠重新定位之參考值。在滾珠重新定位控制方面，以觀測器所估測之滾珠位置為輸入，而改變滾珠之位置方法，是改變主軸馬達之轉速。最後，將觀測器與dSPACE作結合，使平衡裝置中的滾珠能重新定位於180度附近並降低光碟片以及主軸馬達晃動時所造成之振動。

關鍵字

滾珠自動平衡裝置 ； 滾動摩擦 ； 滑動觀測器

並列摘要

This study is dedicated to first design a CD/DVD ROM spindle speed-regulation scheme that is used to actively move the balls of an automatic ball balancer system (ABB) to reside at the desired angular position to achieve a better radial vibration reduction in the presence of rolling friction. By the Lagrange Equation, the mathematical models of a rotor-balancer system are established first for the dynamic analysis. A sliding-mode observer is designed and utilized to estimate the on-line position and velocity of the ball. A balancing ball re-positioning method is used by varying the rotor speed such that the balancing ball is re-positioned via angular momentum generated to the desired position. Finally, the dSpace real-time control interface to combine the sliding-mode observer is used in experiments that are the balancing ball re-positioning around 180 degree and reducing the vibration caused by the spindle motor and the disc are conducted to test and verify effectiveness of the observing position from the sliding-mode observer.

並列關鍵字

automatic ball balancer ； sliding mode observer ； rolling resistance

參考文獻

[4] P. Bövik and C. Högfors, "Autobalancing of rotors," J. Sound Vibration, vol. 111, pp. 429-440, 1986.

[5] Y. Jinnouchi, Y. Araki, J. Inoue, Y. Ohtsuka, and C. Tan, "Automatic balancer (Static balancing and transient response of a multi-ball balancer)," Trans. the JSME, Part C, vol. 59, pp. 79-84, 1993.

[6] T. Majewski, "Position errors occurrence in self balancers used on rigid rotors of rotating machinery," Mechanism and Machine Theory, vol. 23, pp. 71-78, 1988.

[7] C. Rajalingham and S. Rakheja, "Whirl suppression in hand-held power tool rotors using guided rolling balancers," J. Sound Vibration, vol. 217, pp. 453-466, 1998.

[8] W. Y. Huang, C. P. Chao, J. R. Kang and C. K. Sung, "The application of ball-type balancers on radial vibration reduction of high-speed optic disk drives," J. Sound Vibration, vol. 250, no. 3, pp. 415-430, 2002.