消隙齿轮伺服系统动力学建模与频率特性
收稿日期: 2014-05-12
修回日期: 2014-06-23
网络出版日期: 2015-03-31
基金资助
国家自然科学基金 (51135009)
Dynamics modeling and frequency characteristic of anti-backlash gear servo system
Received date: 2014-05-12
Revised date: 2014-06-23
Online published: 2015-03-31
Supported by
National Natural Science Foundation of China (51135009)
廖洪波 , 范大鹏 , 范世珣 . 消隙齿轮伺服系统动力学建模与频率特性[J]. 航空学报, 2015 , 36(3) : 987 -994 . DOI: 10.7527/S1000-6893.2014.0127
Anti-backlash gear is widely used in the aerospace precision servo mechanism, which has the requirements of high precision, high response speed and high stability, so it is important to research its frequency characteristic. Based on the method of modeling of two-mass system, the dynamics model which includes the linear and nonlinear parts of anti-backlash gear servo system is built. The segment dead zone model of anti-backlash gear is established based on the segment dead zone model of spur gear. The formula which can calculate the equivalent stiffness of anti-backlash gear is deduced, especially including the formula of stiffness of anti-backlash spring. The influences of shaft stiffness, static backlash and anti-backlash spring stiffness on response frequency are analyzed by the method of numerical simulation. The results show that static backlash and anti-backlash spring stiffness are important factors.
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