行波型杆式超声电机定子的参数化有限元法优化设计

摘要：利用参数化有限元优化方法，对行波型杆式超声电机定子进行优化设计。首先，在确定电机定子初始结构的基础上，建立其参数化有限元模型。其次，对定子有限元模型进行模态分析，求解工作模态频率对各结构参数的灵敏度，选取灵敏度高的结构参数为设计变量，并以反映电机输出性能的重要参数作为目标函数。同时，设计了定子结构的优化方案，采用了零阶优化方法，对其结构进行优化设计。最后，根据优化结果，制作了定子样机。试验表明：定子工作模态和端面质点的振幅都满足了预期的设计要求，试验结果与优化设计结果相符。研究表明，利用该优化设计方法能有效地缩短超声电机设计周期。

FEM-based parametric optimum design of a traveling-wave type bar-like ultrasonic motor stator

The optimum design of a bar-like ultrasonic motor (USM) stator using finite element (FE) parametric optimum method was presented. Firstly, the parameterized FE model of the stator was created on the basis of its initial configuration. Then, the modal frequency sensitivities of the stator to the structural parameters were investigated by modal analysis. The structural parameters which had an important effect on the working modal frequency were chosen as design variables. The important judgment parameter of the motor output properties was selected as the objective functions. The zero-order optimization method was chosen as the basic tool of the structural updating of the stator. A structural optimiza- tion scheme was applied to the optimum design of the stator. Finally, a prototype USM was fabricated using the optimum design results. The experimental results showed that the working mode of the prototype and the amplitude of the driving points on the stator meet the design requirements. Moreover, the test results were consistent with the optimized results. The optimization method proposed could shorten the USM design period and allow one to explore a new way in the optimi- zation of the USM.