摘要
由于导弹的复杂工作环境,雷达导引头伺服系统对其动力学特性及传动精度有较高要求。为提高其传动精度,一般采用双片齿轮消隙的方式消除回程误差。采用集中质量法建立考虑时变啮合刚度及齿面摩擦的消隙齿轮动力学模型,将消隙齿轮视为两对通过扭簧相互耦合的啮合副,并将齿侧间隙引入作为接触判定条件。通过动力学仿真研究了扭簧预紧力矩和扭簧刚度对消隙齿轮系统动态传动误差及谐振频率的影响。研究表明:扭簧刚度对系统动态传动误差及谐振频率影响较小,而扭簧预紧力矩的增大有利于提高谐振频率和抑制一阶谐振幅值,降低负载波动对系统的影响。由于扭簧作用产生额外的载荷,扭簧预紧力矩的增加会增大系统动态传动误差。
The servo system of radar seeker has a high requirement of dynamic characteristics and transmission accuracy due to the complicated operating environment of the missile. In order to improve transmission accuracy,double-gears anti-backlash method is generally applied to remove hysteresis error. The dynamics model of anti-backlash gears is established by the lumped mass method,which takes the sliding friction,time-varying stiffness into account.The model considers anti-backlash gears as two pairs of gears coupled by torsional springs,and backlash of gears is introduced as a criterion of contact. Effect of pre-tightening torque and stiffness of torsional spring on dynamic transmission error and resonance frequency are studied by dynamic simulation. The research shows that stiffness of torsional spring has little influence on dynamic transmission error and resonance frequency,and higher pre-tightening torque of torsional spring will help to increase resonance frequency as well as restraint vibration amplitude of first order,which reduces the influence of load fluctuation excitation on the system. Higher pre-tightening torque of torsional spring will increase dynamic transmission error due to the additional load produced by the function of the torsional spring.
作者
刘伟平
穆京京
刘宽耀
庄春跃
LIU Weiping;MU Jingjing;LIU Kuanyao;ZHUANG Chunyue(Shanghai Radio Equipment Research Institute,Shanghai 201109,China;Research and Development Department China Aerospace Science and Technology Co.Ltd.Beijing,100048 China)
出处
《上海航天(中英文)》
CSCD
2020年第6期130-136,共7页
Aerospace Shanghai(Chinese&English)
基金
上海市工业强基专项(GYQJ-2019-01-03)。
关键词
消隙齿轮
动力学
谐振频率
扭簧刚度
预紧力矩
anti-backlash gear
dynamics
resonance frequency
stiffness of torsional spring
pre-tightening torque