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  • 學位論文

壓電驅動圓柱薄殼振動陀螺儀之實驗

Experimental Study of Piezoelectrically Actuated Cylinder Shell Resonator Gyro

指導教授 : 周傳心
共同指導教授 : 張家歐(Chia-Ou Chang)

摘要


本實驗研究利用壓電材料的機電轉換特性,將其作為彈性圓柱薄殼振動陀螺儀之致動器與感測器,並研究此陀螺儀之行為。設計一回授激發電路,使圓柱薄殼陀螺儀產生(n=3)模態的共振,將之旋轉後,因科氏力作用而使模態發生漂移的現象,此時原本的節點會產生振幅,利用節點抑制電路將節點振幅歸零,並量測節點抑制振動之訊號與陀螺儀轉動角速度之關係,實驗結果此關係在±1 rpm~ ± 3 rpm的範圍內成線性。

並列摘要


This paper is experimental study of a cylinder shell resonator gyroscope actuated and sensed by piezoelectric material which has electromechanical conversion characteristics. Design a circuit that can drive the gyro vibration in (n=3) modal continuous. When the gyro start to rotate, the node of (n=3) modal has a displacement due to the Coriolis effect, design another circuit to control the gyro stably and measure the signal of control system. Finally, this paper get the relationship between the signal of control system and angular velocity, the result can be used in ±1 rpm~ ± 3 rpm.

參考文獻


1. G. B. Warburton, “Vibration of Thin Cylindrical Shells”, Journal of Mechanical Engineering Science, Vol. 7, pp. 399-407,1965.
2. C. L. DyM, “Some New Results for the Vibrations of Circular Cylinders”, Journal of Sound and Vibration, Vol. 29, pp. 189-205, 1973.
3. G. B. Warburton and J. Higgs, “Natural Frequencies of Thin Cantilever Cylindrical Shells”, Journal of Sound and Vibration, Vol. 11, pp. 335-338, 1970.
4. C. B. Sharma, “Calculation Of Natural Frequencies Of Fixed-Free Circular Cylindrical Shells”, Journal of Sound and Vibration, Vol. 35, pp. 55-76, 1974.
5. C. H. J. Fox and D. J. W. Hardie, “Harmonic Response of Rotating Cylindrical Shells”, Journal of Sound and Vibration, Vol. 101, pp. 495-510, 1985.

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