三自由度超声电机定子的优化设计

研制了一种基于两个弯振模态和一个纵振模态 ,可分别绕 x,y,z轴转动的圆柱 -球体三自由度超声电机。从电机设计的角度讲 ,使电机的定子具有合适的工作模态是至关重要的。在通常情况下 ,人们往往采用试凑的办法来满足其工作模态的要求。但“试凑法”是经验性的 ,不仅耗时多 ,效率低 ,而且有可能得不到满意的结果。为此 ,本文建立了定子的优化设计数学模型 ,在 MATLAB环境下编写了相应的优化设计程序 ,并根据其优化设计结果 ,设计和制造了定子和电机的原型样机 ,其外径为 2 0 mm,长度为 67mm,重量为 1 5 7g。实验结果表明 :电机定子的模态频率和振型满足设计要求 ,并与优化结果相吻合。故本文提出的优化设计方法是可行和有效的 ,并可大大提高设计效率

OPTIMAL DESIGN FOR STATOR OF THREE-DOF ULTRASONIC MOTOR

A 3-DOF ultrasonic motor with a cylinder-shaped stator and a spherical rotor is developed. The motor provides 3-DOF rotation around x, y, and z-axes implemented by two second order bending modes with orthogonality and one first order longitudinal mode of the stator. The three modes must satisfy some conditions. In our previous research, in order to satisfy these conditions, a parameter fitting design method is used. However, it is an experiential design method with low efficiency and costs much time, sometimes it even cannot find a desired solution. This paper puts forward an optimal design method for the stator. Based on the method, an optimization program is developed in MATLAB environment. Using the program, a new prototype of 3-DOF ultrasonic motor is designed. Its stator has diameter of 20 mm, height of 67 mm, and mass of 157 g. Experimental results show that the measured stators′ modal frequencies and modal shapes are in good consistent agreement with the results obtained by the optimal design program.