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研究生:高尚浩
研究生(外文):shan-hau kao
論文名稱:超音波馬達於非線性接觸力之動態特性分析與最佳化設計
論文名稱(外文):Dynamic Analysis and Optimal Design of an Ultrasonic Motor Subjected to Nonlinear Contact Forces
指導教授:蕭庭郎
指導教授(外文):Ting-Nung Shiau
學位類別:碩士
校院名稱:國立中正大學
系所名稱:機械系
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2001
畢業學年度:89
語文別:中文
論文頁數:65
中文關鍵詞:超音波馬達非線性接觸力最佳化設計
外文關鍵詞:Optimal DesignUltrasonic MotorNonlinear Contact Forces
相關次數:
  • 被引用被引用:3
  • 點閱點閱:266
  • 評分評分:
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:1
摘要
超音波馬達是一種在小尺寸作動為目的所發展的新型式馬達,其主要構造包括壓電陶瓷與金屬彈性體黏貼組成定子,與轉子構成馬達本體。本文根據漢米爾頓(Hamilton)原理推導超音波馬達運動方程式,利用模態假設法(assumed mode method)描述定子的振態,應用阮奇庫塔(Runge-kutta)數值積分方法求得系統動態響應,並利用兩種最佳化的方法(1)序列二次規劃法(sequential quadratic programming)與(2)目標逼近法(goal attainment method)對馬達的效率作最佳化設計,其中雖然以目標逼近法花費較長的計算時間但得到較佳的結果。
ABSTRACT
An ultrasonic motor is a type of actuator that uses mechanical vibrations in the ultrasonic range as its drive source. Human ears are capable of detecting sound waves from 50 Hz to 20kHz.This is called the audible frequency range. Ultrasonic waves are sound waves or mechanical vibrations with frequencies above 20kHz.The use of ultrasonic waves is a direct outcome of using piezo-electric ceramics, which expand or contract in accordance with an applied electric field, as the vibration source. In the ultrasonic motor, a voltage is applied to the piezoelectric ceramic element to generate alternating expansions and contractions, either in the ceramic body itself or in an attached metal piece. The magnitude of these oscillations is extremely small, of the order of 1µm. In order to obtain a higher gain, the resonance effect of the ceramics in the ultrasonic range is utilized.
The oscillations are mechanically rectified in the motor to obtain unidirectional movement. Although the magnitude of an individual cycle of the movement is of the order of mircometres, it is possible to obtain high speeds, owing to the high frequency(tens of kilohertz).
In office equipment such as printers and floppy disk drives, market research indicates that tiny motors smaller than 1cm would be in large demand over the next ten years, however using the conventional electromagnetic motor structure, it is rather difficult to produce a motor with sufficient energy efficiency. Piezoelectric ultrasonic motors, whose efficiency is insensitive to size, are superior in the mm-size motor area.
目錄
頁次
摘要 i
ABSTRACT ii
目錄 iii
圖表目錄 v
符號說明 vii
第一章 緒論 1
1-1 背景說明 1
1-2 文獻回顧 4
第二章 動作原理 7
2-1 超音波馬達構造及動作原理 8
2-2 壓電特性 8
2-2-1 壓電效應 9
2-2-2 壓電組成方程式 9
2-2-3 壓電材料 13
第三章 數學模型 17
3-1 定子模型 17
3-2 接觸面模型 22
3-3 轉子模型 24
第四章超音波馬達之動態特性分析與最佳化設計 27
4-1 定子的振動模態 27
4-2 超音波馬達的動態特性分析 27
4-3超音波馬達效率最佳化設計 29
4-3-1 序列二次規劃法 29
4-3-2 目標趨近法 31
4-3-3 靈敏度分析 33
4-4 結果與討論 34
第五章 結論與未來研究方向
5-1 結論 60
5-2 未來研究方向 61
參考文獻 62
參考文獻
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