机电集成压电谐波电机传动系统非线性自由振动分析  

Nonlinear free vibration of driving system of an electromechanical integrated harmonic piezoelectric motor

作　　者：李冲[1] 许立忠[1] 高立超[1] 

机构地区：[1]燕山大学机械工程学院,河北秦皇岛066004

出　　处：《振动与冲击》2016年第6期7-12,46,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(51275441);河北省研究生创新资助项目(00302-6370001)

摘　　要：设计集压电驱动、谐波传动及活齿传动为一体的机电集成压电谐波电机,并分析其工作机理。借鉴行星齿轮传动理论,建立传动系统动力学模型。利用Linz Ted-Poincaré法推导传动系统非线性频率特性方程及位移响应方程,分析传动系统的非线性频率变化规律及时域响应特点;通过ANSYS有限元软件对频率进行验证。结果表明,传动系统非线性由啮合齿数变化引起,啮合齿数越少系统非线性越显著;系统位移响应受非线性影响最明显、微弱的分别为波发生器x及u向;利用有限元仿真验证动力学模型的正确性。An electromechanical integrated harmonic piezoelectric motor which integrates piezoelectric driving, harmonic driving and movable tooth driving was designed and the working principle of the motor was discussed. Referencing the theory of planetary gear transmission, a dynamic model for the driving system was set up. Utilizing Linz Ted-Poincare method, the equations of frequency characteristic and displacement response were deduced. The frequency variation and the characteristic of time response were analyzed. The ANSYS finite element software was applied to verify the frequencies provided. The results show, the nonlinearity of the driving system is caused by the changing of meshing teeth number during running conditions, and the fewer the meshing teeth number, the more obvious the nonlinear phenomenon of the driving system. The displacement response in the x direction of harmonic generator is the most affected by nonlinear phenomenon and that in the u direction is the least affected. A finite element simulation verifies the correctness of the dynamic model.

关 键 词：压电谐波电机 传动系统 非线性 自由振动 Linz Ted-Poincaré法 

分 类 号：TH113.1[机械工程—机械设计及理论]