臺灣博碩士論文加值系統

在本論文中，利用一包含平衡方程式、柯西方程式、壓電組成方程式和靜電方程式的電彈理論。利用有限元素法模擬壓電元件靜態及動態的響應，以矩形切割使用電腦模擬求解其複雜的偏微分方程式。藉此觀察到陶瓷馬達的位移量與電壓之間的關係，並建立一數學模式，來近似陶瓷馬達的動態行為。由模擬數據利用頻譜分析可得知位移和供應電壓之間的關係後，即可推導其等效電路模型並建立一數學模式，來近似陶瓷馬達及摩擦驅動系統的動態行為。並與理論推導結果做比較。

The electroelasticity theory consists of the dynamic equilibrium equations, the Cauchy equations, the piezoelectricity constitutive equations, and the electrostatic equations. Utilization of the Fourier series can simplify the partial differential equation of the above theory to obtain a general solution related to the external electric field and displacement. Therefore, the mathematical model is built to approximate the dynamic behavior of a ceramic motor and a friction drive system in the Cartesian coordinate system. The relationships between displacements and the external electric field are analyzed to simulate the trajectory of the spacer of the ceramic motor. The available driving force to move the table is the main concern for us in the friction drive system. Then relationships among the displacements, the external electric field, the preload force and the available drive force are obtained in our model. The preload force has a significant influence on the displacement and the available driving force and its effects are also derived for our friction drive system in this thesis.

1.Introduction
2.Ceramic motor
2-1. Characteristics of tha piezoelectricity ceramic
2-2. Structure of the ceramic motor
3.Modeling the ceramic motor
3-1. Basic equation
3-2. Fundamental assumption
3-3. Boundary condition assumption
4.The analysis of piezoelectric ceramic motor
4-1. Voltage distribution in the z-axis
4-2. The different frequencies of the voltage
5.Conclusion and future research

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