导引头伺服机构消隙齿轮系统动力学特性分析  

Dynamic Characteristics Analysis of Anti-backlash Gear Systems with Seeker Servo Mechanisms

作　　者：郑田泽 李超 朱骏 刘伟平 徐逸宇 赵倩 袁静 ZHENG Tianze;LI Chao;ZHU Jun;LIU Weiping;XU Yiyu;ZHAO Qian;YUAN Jing(School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;Shanghai Radio Equipment Research Institute,Shanghai 201109,China)

机构地区：[1]上海理工大学机械工程学院,上海200093 [2]上海无线电设备研究所,上海201109

出　　处：《上海航天（中英文）》2023年第2期41-50,共10页Aerospace Shanghai（Chinese&English）

基　　金：国家自然科学基金(51975377、52205113、52005335);上海航天科技创新基金(SAST2020-052);上海市青年科技英才扬帆计划(21YF1430600)。

摘　　要：消隙齿轮广泛应用于导引头伺服机构惯性稳定平台传动系统中,用于消除回程误差,提高传动精度。目前,对消隙齿轮传动系统的动力学分析大多采用数值方法,然而在求解含时变啮合刚度和间隙的强非线性系统时耗时较长。本文利用集中质量法建立考虑时变啮合刚度的消隙齿轮系统动力学模型,通过对模型的无量纲及归一化处理,运用分段的增量谐波平衡法对消隙齿轮传动系统进行分析,并利用四阶Runge-Kutta法进行数值验证,研究了不同参数对消隙齿轮系统动力学特性的影响规律。结果表明:随扭簧刚度的提高,系统谐振频率也提高,且共振幅值降低;随内部激励的增加、阻尼比的减小,系统由周期运动逐渐变为混沌运动,且共振幅值增大。Anti-backlash gears are widely used in the transmission systems of inertially stabilized platforms with seeker servo mechanisms to eliminate the return error and improve transmission accuracy.At present,the dynamic analyses of anti-backlash gear systems are mostly carried out by numerical methods.However,it is time-consuming to solve strong nonlinear systems with time-varying mesh stiffness and backlash.In this paper,the lumped mass method is used to establish a dynamic model for the anti-backlash gear system,in which the time-varying mesh stiffness is considered.Based on the dimensionless and normalized processing of the model,the segmental incremental harmonic balance method is used to analyze the anti-backlash gear system,and the fourth-order Runge-Kutta method is used for numerical verification.The effects of different parameters on the dynamic characteristics of the anti-backlash gear system are investigated.The results show that when the torsion spring stiffness increases,the resonance frequency of the system increases,while the amplitude value decreases;when the internal excitation increases and the damping ratio decreases,the system gradually changes from periodic motion to chaotic motion,and the amplitude value increases.

关 键 词：消隙齿轮 等效刚度 增量谐波平衡法 伺服机构 动力学特性 

分 类 号：TH113.1[机械工程—机械设计及理论]