%0 Journal Article
%T 压电谐波电机驱动系统非线性主共振分析<br>Non-linear Primary Resonance of Driving System for a Harmonic Piezoelectric Motor
%A 李冲
%A 许立忠
%J 振动.测试与诊断
%D 2016
%R 10.16450/j.cnki.issn.1004-6801.2016.03.027
%X 为了探索压电谐波电机的机械 压电系统的非线性共振特性，设计了一种集压电驱动、谐波传动和活齿传动为一体的机电集成压电谐波电机。在非线性压电和非线性弹性效应的基础上，建立了驱动系统非线性机电耦合动力学方程。利用Linz Ted-Poincaré法推导了驱动系统非线性主共振响应方程，得出了主共振幅频响应曲线，分析了不同非线性效应对主共振响应的影响，最后通过四阶Runge Kutta数值法验证了解析解的正确性。结果表明：在两种非线性效应中，非线性压电效应对主共振响应的影响是主要的；压电堆主共振出现在偏离固有频率较远处，且随着频率改变响应值出现跳跃现象；数值解与解析解响应曲线吻合较好。<br>In order to explore the non-linear resonance characteristics of the mechanical-piezoelectric system of the harmonic piezoelectric motor, an electromechanical integrated harmonic piezoelectric motor is designed that integrates piezoelectric driving, harmonic drive and movable tooth drive.The electromechanical coupling equations of the driving system are set up based on the non-linear piezoelectric effect and non linear elastic effect. The primary resonance equations are deduced using the Linz Ted-Poincaré method. Then, the amplitude frequency curves are obtained, and the impact of different non-linear effects on primary resonance is analyzed. Finally, the accuracy of the analytical solution is verified with the Runge-Kutta numerical method. The results show that the influence of the non-linear piezoelectric effect on primary resonance dominates the non-linear elastic effect. The primary resonance of the piezoelectric stack occurred far from natural frequencies. Moreover, the jumping phenomenon appeared with frequency changes. The numerical response aligns well with the analytical response.
%K 压电电机
%K 谐波电机 非线性
%K 主共振
%K Linz Ted-Poincaré法&lt
%K br&gt
%K piezoelectric motor
%K harmonic motor
%K non-linear
%K primary resonance
%K Linz Ted-Poincaré method
%U http://zdcs.nuaa.edu.cn/ch/reader/view_abstract.aspx?file_no=201603027&flag=1