旋转行波型超声电机定子的非线性动力学分析  

Nonlinear Dynamic Behavior of Rotating Traveling Wave Ultrasonic Motor Stator

作　　者：陶征[1] 赵丹[1] 高建设[1] TAO Zheng;ZHAO Dan;GAO Jian-she(School of Mechanical and Power Engineering Zhengzhou University,He’nan Zhengzhou 450001,China)

机构地区：[1]郑州大学机械与动力工程学院,河南郑州450001

出　　处：《机械设计与制造》2024年第2期210-213,共4页Machinery Design & Manufacture

基　　金：国家重点研发计划项目—高安全长寿命客车动力电池系统关键技术研究及应用(2018YFB0104100)。

摘　　要：超声电机作为一种新型电机,独特的性能使其在如太空探索、精密仪器等一些特殊领域有着广阔的应用前景。然而,超声电机的强机电耦合非线性特性使其在工作过程中往往会产生频率漂移、跳跃等非线性现象,从而影响电机工作的稳定性。用四阶Runge-Kutta法、Lyapunov指数、Poincaré截面等方法获得了旋转行波超声电机定子在单相激励下的非线性振动响应特性,研究了定子振动响应的Hopf分岔以及由Hopf分岔通向周期解的变化过程,该结果对进一步改善行波型超声电机输出特性的研究具有一定的参考意义。As a new type of motor,the ultrasonic motor has a broad application prospect in some special fields such as space exploration and precision instruments with its unique performance.However,the strong electromechanical coupling nonlinear characteristics of the ultrasonic motor make it often produce nonlinear paper phenomena such as frequency drift and jump during the working process,which affects the stability of the motor.In this,based on fourth-order Runge-Kutta method,Lyapunov exponent,Poincarécross section and other methods,the nonlinear vibration response characteristics of the stator of rotating traveling wave ultrasonic motor under single-phase excitation were obtained.The Hopf bifurcation of the stator vibration response and the change process from the Hopf bifurcation to the periodic solution are further studied.The results have certain reference significance for further improving the output characteristics of the traveling-wave ultrasonic motor.

关 键 词：超声电机 非线性动力学 HOPF分岔 POINCARÉ截面 

分 类 号：TH16[机械工程—机械制造及自动化]