As the typical structure of the large satellite antenna, the hoop-truss deployable antenna with large aperture is in urgent need in the new generation of large communication satellite, the relay satellite and the earth observation satellite. At the same time, the requirement of the antenna aperture size tends to become bigger and bigger. However, with the increase of antenna aperture, the driving force required for deployment of antenna is also increasing rapidly, which leads to the reliability problem in the traditional centralized drive mode with the motor and driving cable. The dynamics simulation model of the large Hoop-Truss deployable antenna was established in this paper firstly, and the dynamics simulation of the deployment of the antenna with the motor and driving cable was carried out, respectively. This paper reveals the problem of the asynchronous synchronization of deployment caused by the friction loss of the motor driving force in the load path. The energy consumption during the process of antenna deployment is analyzed, and the growth trend of motor driving force as the antenna aperture increases. The shortcomings of centralized-driving mode with the motor and driving cable are summarized, which mainly caused by the decreasing of driving cable force due to friction. On the basis, a method of distributed drive deployment based on negative stiffness driving device is presented. The design of negative stiffness driving device is given in the paper. The multi-stage non-circular gear device based is used to realize the negative stiffness joints and the design method of key transmission ratio of multi-stage non-circular gear device is also given in the paper. Finally, numerical example of 25?m antenna is demonstrated to verify the effectiveness of the proposed distributed driving method.
国家自然科学基金(1290154)
[1] Feng T, Ji Y Z, Xiao Y, et al. Overview of space-borne perimeter truss antenna and its application (in Chinese). Space Electron Tech, 2015, 12: 25–28 [冯涛, 冀有志, 肖勇, 等. 星载环形天线结构及其应用综述. 空间电子技术, 2015, 12: 25–28]. Google Scholar
[2] Hedgepeth J M. Critical requirements for the design of large space structures. In: Proceedings of 2nd Conference on Large Space Platforms: Toward Permanent Manned Occupancy in Space. San Diego: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1981. Google Scholar
[3] Im E, Durden S. Next-generation spaceborne precipitation radar instrument concepts and technologies. In: Proceedings of 45th AIAA Aerospace Sciences Meeting and Exhibit. Reno: IAAA, 2007. Google Scholar
[4] Li T. Deployment analysis and control of deployable space antenna. Aerospace Sci Tech, 2012, 18: 42-47 CrossRef Google Scholar
[5] Xiao Y, Luo G H, Chen G D, et al. Study of deploy methods and rules of hoop truss deployable satellite antenna (in Chinese). Mach Design Manuf, 2005, 2: 84–86 [肖勇, 罗国华, 陈国定, 等. 大型可展天线展开方式及规律的研究. 机械设计与制造, 2005, 2: 84–86]. Google Scholar
[6] Li Z Y, Chen G D, Wang S M, et al. Simulation of deploy process of hoop truss deployable satellite antenna (in Chinese). Mach Design Manuf, 2006, 7: 67–69 [李洲洋, 陈国定, 王三民, 等. 大型可展开卫星天线的展开过程仿真研究. 机械设计与制造, 2006, 7: 67–69]. Google Scholar
[7] Qi C H, Chang J G, Wang G, et al. Deployment dynamic analysis and control of hoop truss deployable antenna (in Chinese). Acta Astron, 2014, 35: 61–68 [齐朝晖, 常进官, 王刚, 等. 周边桁架式可展开天线展开分析与控制. 宇航学报, 2014, 35: 61–68]. Google Scholar
[8] Zhao M L, Guan F L. Deployment dynamic analysis of circular truss deployable antenna with friction (in Chinese). J Space Sci, 2006, 26: 220–226 [赵孟良, 关富玲. 考虑摩擦的周边桁架式可展天线展开动力学分析. 空间科学学报, 2006, 26: 220–226]. Google Scholar
[9] Yu Y H, Guan F L, Chen X Y. Dynamic simulation of deployable truss (in Chinese). J Comput Mech, 2005, 22: 197–201 [余永辉, 关富玲, 陈向阳. 可展桁架运动过程动力学模拟. 计算力学学报, 2005, 22: 197–201]. Google Scholar
[10] Zhao M L. Dynamic Analysis, Simulation and Experiment of Deployable Space Structures (in Chinese). Dissertation for Doctoral Degree. Zhejiang: Zhejiang University, 2007 [赵孟良. 空间可展结构展开过程动力学理论分析、仿真及试验. 博士学位论文. 浙江: 浙江大学, 2007]. Google Scholar
[11] Li T J, Zhang Y, Li T. Deployment dynamic analysis and control of deployable truss antenna (in Chinese). Aeron J, 2009, 30: 444–449 [李团结, 张琰, 李涛. 周边桁架可展天线展开过程动力学分析及控制. 航空学报, 2009, 30: 444–449]. Google Scholar
[12] Zhan B. Study on the Homologous Deformation Design of Antenna Structures, Experiment and Clearance of Deployable Structures (in Chinese). Dissertation for Doctoral Degree. Zhejiang: Zhejiang University, 2008 [占甫. 天线结构homologous变形设计与可展结构试验及间隙研究. 博士学位论文. 浙江: 浙江大学, 2008]. Google Scholar
[13] Yun P, Zhao Z H, Zhou M, et al. Flexible multibody model and dynamics of deployment of mesh antenna. J Guid Control Dyn, 2017, 40: 1499-1506 CrossRef Google Scholar
[14] Yang J G, Xiao Y, Zhao Z H. Deployment optimization of large hoop-truss antenna based on energy distribution design (in Chinese). Space Electron Tech, 2016, 5: 82–87 [杨军刚, 肖勇, 赵治华. 基于能量分布设计的大型环形天线展开过程优化. 空间电子技术, 2016, 5: 82–87]. Google Scholar
[15] Peng Y, Yang J G, Xiao Y, et al. Gravity effect on the deployment dynamics of the astromesh (in Chinese). Eng Mech, 2017, in press [彭云, 杨军刚, 肖勇, 等. 重力对大型环形可展天线展开动力学的影响研究. 工程力学, 2017, in press]. Google Scholar
[16] Li P, Tian Q. Dynamics of a deployable mesh reflector of satellite antenna: Parallel computation and deployment simulation. J Comp Nonlinear Dyn, 2016, 11: 1903–1918. Google Scholar
[17] Simo J C, Vu-Quoc L. A three-dimensional finite-strain rod model. Part II: Computational aspects. Comp Methods Appl Mech Eng, 1986, 58: 79-116 CrossRef Google Scholar
[18] Bauchau O A. Flexible Multibody Dynamics. Dordrecht: Springer Netherlands, 2011. Google Scholar
[19] Banerjee A K. Contributions of multibody dynamics to space flight: A brief review. J Guidance Control Dyn, 2003, 26: 385-394 CrossRef ADS Google Scholar
[20] Goldstein H, Poole C P, Safko J L. Classical Mechanics. San Francisco: Addison Wesley, 2002. Google Scholar
[21] Hairer E, Wanner G. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Berlin: Springer-Verlag, 1996. Google Scholar
[22] Shabana A A. Dynamics of Multibody Systems. Cambridge: Cambridge University, 2005. Google Scholar
[23] Romero I. A comparison of finite elements for nonlinear beams: The absolute nodal coordinate and geometrically exact formulations. Multibody Syst Dyn, 2008, 20: 51-68 CrossRef Google Scholar
[24] Zhao Z H. Research on Modeling and Deployment Dynamics of Flexible Multibody System (in Chinese). Post-Doctoral Report. Beijing: Tsinghua University, 2013 [赵治华. 柔性多体系统建模及展开机构动力学研究. 博士后出站报告. 北京: 清华大学, 2013]. Google Scholar
[25] Fan Y S, Li T J, Ma X F, et al. Form-finding method of equal tension cable networks of space mesh antennas (in Chinese). J Xidian Univ, 2015, 45: 49–54 [范叶森, 李团结, 马小飞, 等. 一种等张力空间索网结构找形方法. 西安电子科技大学学报, 2015, 45: 49–54]. Google Scholar
[26] Zhao Z H, Li M. A passive actuator for deployment of space mesh antenna based on non-circular gears (in Chinese). China Patent, CN201610162013.8, 2016-03-21 [赵治华, 李萌. 一种基于非圆齿轮的空间网状天线被动式展开驱动器. 中国专利, CN201610162013.8, 2016-03-21]. Google Scholar
[27] Yang J G, Xiao Y, Zhao Z H, et al. A nonlinear distributed driving method for deployment of the large aperture reflectors (in Chinese). China Patent, CN201610605499.8, 2016-07-28 [杨军刚, 肖勇, 赵治华, 等. 一种大口径环形反射器分布式非线性驱动展开方法. 中国专利, CN201610605499.8, 2016-07-28]. Google Scholar
Figure 1
(Color online)
Figure 2
(Color online) Centralized-driving mode of hoop-truss antenna.
Figure 3
(Color online) Multibody model of the hoop-truss antenna
Figure 4
(Color online) Simulation result of deployment of 12.5?m hoop-truss antenna.
Figure 5
(Color online) The phenomenon of asynchronous synchronization during deployment in 9 m-astromesh experiment of American
Figure 6
(Color online) Illustration of one by one reduction of driving cable tension.
Figure 7
(Color online) Motor driving force curve of 12.5?m hoop-truss antenna.
Figure 8
(Color online) The potential energy curve during deployment of 12.5?m hoop-truss antenna.
Figure 9
(Color online) Variation tendency of motor driving force as antenna aperture increasing. (a) Variation curve of motor driving force with the antenna aperture increasing (number of truss bays: 30); (b) variation curve of motor driving force with the numbers of the truss bays increasing (antenna aperture: 50?m).
Figure 10
(Color online) Illustration of distributed-driving.
Figure 11
(Color online) Comparison of force-displacement curve between negative stiffness spring and general linear spring.
Figure 12
Illustration of final phase of antenna deploying.
Figure 13
Multi-stage non-circular gear device.
Figure 14
(Color online) Design result of distributed driving torque.
Figure 15
(Color online) Simulation result of distributed-driving deployment of 25?m hoop-truss antenna. (a)
Figure 16
(Color online) Comparison of simulation results between centralized-driving and distributed- driving. (a) Comparison of motor driving force; (b) comparison of load of battens.
Figure 17
(Color online) Simulation result of centralized-driving deployment of 25?m hoop-truss antenna (a)-(d).
Figure18
(Color online) Comparison of total work of joints during deploying between centralized-driving and distributed- driving. (a) Comparison of total work of joints; (b) comparison of effective work ratio of each joints.
Copyright 2019 Science China Press Co., Ltd. 科学大众杂志社有限责任公司 版权所有
京ICP备18024590号-1