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中文摘要：
利用有限元理论建立了具有复杂外形的杆式超声电机定子的机电耦合动力学模型。利用该模型对定子的动力学特性进行了求解，一阶弯曲模态频率的理论计算结果与样机定子的模态测试实验的结果相差3．9％。提出杆式超声电机工作对定子模态的要求，推导了这些设计要求的数学表达形式。结合模式搜索算法，建立了定子结构参数的优化设计模型来解决这一多目标的优化问题。算例分析的结果表明，该优化模型可以在满足对模态频率、振型、压电陶瓷安放位置、避免干扰模态等要求的前提下，确定定子的相关几何参数，从而提高电机结构设计的效率。
英文摘要：
The finite element method was used to derive the electromechanical coupled dynamics model of the stator of a rod-shape ultrasonic motor due to the complexity of its geometric shape. The dynamic behavior of the stator was analyzed via this model and the numerical result of the first bending mode frequency is 3.9% of error compared with the experimental result of the prototype stator. Both the structural design principles and the approaches to meet the modal requirements for the stator were proposed and a mathematical optimal model was established based on the pattern search algorithm to solve this multi-objective optimization problem. The numerical simulation results show that this efficient optimal model can quantify the structural parameters of the stator and also meet the stator＇s design requirements for the modal frequency,the ramics and the interference mode at the same time. mode shape,the location of the piezoelectric ceramics and the interference mode at the same time.
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