行波型球形超声电机定子的优化设计

Optimization Design of Stator for Traveling Wave Spherical Ultrasonic Motor

提出了一种具有同步调心结构的球形超声电机,建立了电机驱动力矩的数学模型,重点对行波型定子进行结构优化设计。利用ANSYS对定子进行模态分析和谐响应分析;通过灵敏度分析确定结构参数优化变量,以最大干扰模态与工作模态频率差和最大定子表面振幅为优化目标,建立设计空间的响应面模型,采用多目标遗传算法(MOGA)进行优化求解得到Pareto前沿,最终确定结构参数并对定子试制件进行定扫频实验。测试结果表明,优化后的定子工作模态频率±2 kHz内无干扰模态产生,且定子两相驻波表面质点具有较大振幅,满足使用要求。

A spherical ultrasonic motor with synchronous centering structure was proposed,and the mathematical model of driving moment of the motor is established.The emphasis was focused on the structural optimization design of the traveling wave type stator.The modal analysis and harmonic response analysis of the stator were carried out by ANSYS.The optimization variables of structural parameters were determined through the sensitivity analysis.The response surface model of design space was established by taking the maximum frequency difference between the working mode and the disturbing mode and the maximum stator surface amplitude of the stator surface as the optimization target.The multi-objective genetic algorithm(MOGA)was used to optimize the solution to obtain the Pareto frontier,and the final structural parameters were determined and the fabricated stator was tested through the fixed and swept frequency experiments.The test results showed that no disturbing mode was generated within the range of ±2 kHz of the working mode frequency of the optimized stator,and the points on the surface of stator under the two phase standing waves had high vibration amplitude,which met the operating requirements.