Analysis of active process of vibratory coupler type ultrasonic motor
Date Issued
2005
Date
2005
Author(s)
Lin, Chin-Tei
DOI
zh-TW
Abstract
本研究分析於振動子與滑動子的振動模型，研究振動子與滑動子在分離與接觸的運動情況。利用動量守恆原理推導運動方程式，對於由接觸至分離的過程，引入接觸面間之正向力為零作為開始接觸之條件；又以振動子與滑動子碰撞後保持接觸做為由分離後開始接觸之條件。利用上述的現象與假設，求取振動子與滑動子的運動情況，以及振動子與滑動子接觸面間的正向力變化。在振動子的推動方向上，假設振動子不受滑動子影響，而保有原有的運動型態，並且以正向力推導滑動子的速度。數值方法是採用有限差分法，並且建構數值程式與設定收斂條件，獲得超音波馬達細微的運動特性，包含詳盡的振動子與滑動子在各時間點精確的位移與速度之運動情況、兩者接觸情況，超音波馬達之推力、速度與參數間的關係等。
This study analyzes the motion characteristics of the vibrator and the slider of ultrasonic motor by using the vibrating model of the slider and the vibrator. The principle of impulse and momentum is used to derive the governing equations. During the process from separation to contact, the normal force between the contact surfaces equal to zero is used as the initial condition of separation. During the process from contact to separation, the vibrator impacting and then keeping contact with the slider is used as the initial condition of contact. Based on assumptions and phenomenon, the motion characteristics of the vibrator and the slider, and the normal force between the contact surfaces of the vibrator and the slider can be obtained. In the motion direction of the slider, the slider does not affect the motion of the vibrator, and the velocity of the slider can be obtained from the normal force. The finite difference method is used and the convergence conditions are set to obtain the detail characteristics of the ultrasonic motor, the displacement, the velocity, and the motion of the vibrator and the slider, the relation between the thrust, the velocity, and the parameters of the ultrasonic motors.
Subjects
超音波馬達
不連續
振動
ultrasonic motor
discontinuity
vibration
Type
thesis
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