盆架型压电平面电机响应面法动力学特性优化  

Optimization of a Basin-shaped Piezoelectric Planar Motor Using Stator Response Surface Methodology

作　　者：王哲逸 李冀 李晨捷 龙玉繁[1] 贺红林[1] WANG Zheyi;LI Ji;LI Chenjie;LONG Yufan;HE Honglin(School of Aeronautical Manufacturing,Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌航空大学航空制造工程学院,南昌330063

出　　处：《噪声与振动控制》2022年第4期38-45,共8页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(52165008);江西省自然科学基金重点资助项目(20202ACB202003);南昌航空大学研究生创新专项基金资助项目(YC2020-029)。

摘　　要：为解决压电电机定子在设计过程中存在的定子结构尺寸难以拟定、驱动足激励变形难以最大化以及进行多目标设计时难以求得全局最优解等问题,以盆架型压电电机定子为研究对象,在以有限元法构造定子参数化模型的基础上,利用模态置信准则(modal Assurance Criterion,MAC)进行定子工作模态的筛选与捕获,采用中心复合设计法(Central Composite Design,CCD)生成采样计算点,结合克里金法(Kriging Method)搭建相关特征结构尺寸参数的响应面优化模型,并运用多目标遗传优化算法(Non-dominated Sorting Genetic Algorithm-Ⅱ,NSGA-Ⅱ)在基于响应面模型所得的设计空间内进行最优解的全局搜索。通过定子谐响应分析得到弯-纵振频差相对于“试凑法”所得结果下降30%,且无明显干扰模态,由此验证了优化模型的正确性。瞬态分析结果表明定子驱动足的x方向位移为6.4μm,y方向位移为5.48μm,z方向位移为6.16μm,各相位移均有明显增长。说明根据优化设计得到的定子驱动足位移更大,三相工作模态更接近,电机运行更加平稳。The problems in the design process of the stator of the ultrasonic motor,such as the difficulty in drawing up the stator structure size,the difficulty in maximizing the deformation of the driving foot and the difficulty in obtaining the global optimal solution in the multi-objective design are studied.With a basin type ultrasonic motor stator as the research object,the stator structure parametric model is established by means of finite element method.The modal assurance criterion(MAC)is used to select and capture the working mode of the stator.The central composite design(CCD)method is used to generate the sampling calculation points.Combined with the feature of Kriging method,the related structure size parameters of the response surface optimization model are set up.The non-dominated sorting genetic algorithm-II(NSGA-Ⅱ)are used to global searching of the optimal solution within the design space of the response surface model.The results of stator harmonic response analysis show that the bending-longitudinal frequency difference decreases by 30%compared with the results obtained by"trial and error"method,and there is no obvious interference mode,which verifies the correctness of the optimization model.The results of transient analysis show that the displacement of the stator driving foot in the x direction is 6.4μm,in y direction is 5.48μm,and in z direction is 6.16μm.And the displacement of each phase is increased obviously.It shows that the stator driving foot displacement obtained by the optimized design is larger,the three-phase working modes are closer,and the motor operates more smoothly.

关 键 词：振动与波 压电平面电机 响应面模型 多目标遗传优化算法 结构动力学优化 

分 类 号：TM3[电气工程—电机]