多自由度固面天线反射面展开动力学分析  

Dynamic Analysis of Reflection Surface Deployment of Multi-degree of Freedom Solid Antenna

作　　者：杨全欧 秦远田[1] 陈金宝[1] 李波 YANG Quanou;QIN Yuantian;CHEN Jinbao;LI Bo(College of Astronautics,Nanjing University of Aeronautics and Astronautics Nanjing,210016,China;Shanghai Institute of Aerospace System Engineering Shanghai,201109,China)

机构地区：[1]南京航空航天大学航天学院,南京210016 [2]上海宇航系统工程研究所,上海201109

出　　处：《振动．测试与诊断》2022年第6期1122-1127,1243,共7页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金面上资助项目(12172168)。

摘　　要：某大型6自由度固面天线反射面在展开过程中存在自由摆动的问题,为减小主动控制的难度,需合理设计各关节处的动力,即扭簧的扭矩大小。针对该动力学问题,采用Lagrange第2类方程进行动力学模型推导,从1自由度递推至n自由度,利用Matlab对模型进行数值求解,研究6自由度情形下扭簧扭矩与展开过程的关系,并使用Adams进行辅助验证。通过动力学模型的计算,获得了一组合理的扭簧扭矩初值,在没有外力约束下,可以使得各个反射面能以相互协调的速度与规定的趋势进行展开。结果表明,该研究方法可获得特定条件下扭簧扭矩的控制方案,降低天线反射面展开过程中主动控制的难度。The reflective surface of a large 6-degree of freedom(DOF)solid-surface antenna has a problem of free swing during deployment.In order to reduce the difficulty of active control,the torque of the torsion spring at each joint needs to be designed reasonably.For this dynamic problem,the second Lagrange equation is used to derive the dynamic model from 1-DOF to n-DOF.Matlab is used to solve the model numerically,and the re⁃lationship between the torque of the torsion spring and the expansion process in the case of 6-DOF is studied and assisted verification through Adams.The calculation of the dynamic model has obtained a set of reasonable tor⁃sion spring torque values.Without external force constraints,each reflecting surface can be deployed at a coordi⁃nated speed and a prescribed trend.This research method can obtain the design scheme of the torque of the tor⁃sion spring under specific conditions,and reduce the difficulty of active control during the deployment of the an⁃tenna reflector.

关 键 词：天线反射面 LAGRANGE方程 动力学 扭簧 

分 类 号：TH113.2[机械工程—机械设计及理论] V416.2[航空宇航科学与技术—航空宇航推进理论与工程]