两自由度微型超声波电机的数学模型  

Theoretical Modeling of a Micro 2 Degree-of-Freedom Ultrasonic Motor

作　　者：白洋[1] 王剑[1] 郭吉丰[1] 

机构地区：[1]浙江大学电气工程学院,杭州310027

出　　处：《振动．测试与诊断》2013年第S2期5-8,213,共5页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(51107111);中国博士后科学基金资助项目(20110491767)

摘　　要：首先,介绍了一种两自由度微型超声波电机结构,并利用Rayleigh理论和Saint-Venant理论建立了该电机的定子数学模型;然后,在引入复压电损耗因子和复金属损耗因子的基础上推导了纵振和扭振模态下定子端面最大纵向位移和最大扭转角度的表达式;最后,利用ANSYS有限元分析软件对比验证了数学模型。研究结果表明,数学模型的预测与有限元仿真结果基本吻合,数学模型对超声波电机的性能优化具有指导作用。The ultrasonic motor(USM)is a new realization of mechanical and electrical energy conversion device,by taking advantage of the inverse piezoelectric effect of piezoelectric materials.Recently,they have been widely used in the field of actuators and transducers.A micro 2degree-of-freedom(DOF)USM was discussed in this work.The analytical model based on Rayleigh theory and Saint-Venant's theory was established.An exact analysis for the maximum longitudinal and angular displacement at resonance by the help of the loss coefficients was also presented.Model calculations were compared with ANSYS finite element analysis simulation results and good agreements were found.The model can be utilized for the optimization of the motor performance.

关 键 词：两自由度 超声波电机 数学模型 复损耗 有限元仿真 

分 类 号：TM359.9[电气工程—电机]