大型椭圆环形可展开天线展开过程动力学数值仿真
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摘要
大型椭圆环形桁架式天线以其在偏馈型高精度网状天线应用上独特优势,吸引众多学者关注.大型椭圆环形天线展开过程复杂,在轨展开有一定风险,而天线在轨能否成功展开是决定卫星任务成败的关键.为了提高展开可靠性和部件受载安全性,必须借助仿真手段全面识别天线展开动力学特性,获取展开过程部件受载特性.大型椭圆环形天线属于典型柔性多体系统,采用几何精确梁实现对变形较大横杆、纵杆建模,并基于一维移动介质动力学理论对柔性绳索建模,结合对变形极小的铰链、斜杆等部件做刚性假设,实现其展开过程动力学建模及仿真.在此基础上,对天线展开不同步性现象及原因进行分析,得到部件柔性及绳子经铰链摩擦损耗是其重要内因;此外,从能量角度对展开进行分析,得到摩擦损耗及网面张力是影响驱动绳受力及杆件受力最重要因素.最后,为提高展开可靠度,给出了设计优化建议.
With the unique advantages in the application of bias-feed high-precision mesh antennas, the large elliptical truss antenna(LETA) attracts attention of many scholars. Due to the complexity of the LETA deployment process, there are some potential risks in orbit development. The successful deployment of antenna on orbit is the key to determine the success or failure of satellite missions. In order to improve the deployment reliability and the load safety of the components of the antennas, the dynamic characteristics of the LETA must be fully identified by the means of simulation, and the load characteristics of the components during the deploying process must be obtained. As a typical flexible multi-body system, a geometric precise beam is used to model bars with large deformation in the LETA and the flexible driving cable is modeled based on one-dimensional dynamic medium dynamics theory. The dynamic modeling and numerical simulation of the deploying process are presented in the paper. On this basis, the unsynchronized phenomenon is analyzed, which is caused mainly by the flexibility of components and the friction loss of driving cable through the hinges. In addition, from the perspective of energy, it shows that friction loss and mesh tension are the most important factors affecting the loads of driving cable and truss. Finally, the design optimization suggestions are given to improve the reliability.
With the unique advantages in the application of bias-feed high-precision mesh antennas, the large elliptical truss antenna(LETA) attracts attention of many scholars. Due to the complexity of the LETA deployment process, there are some potential risks in orbit development. The successful deployment of antenna on orbit is the key to determine the success or failure of satellite missions. In order to improve the deployment reliability and the load safety of the components of the antennas, the dynamic characteristics of the LETA must be fully identified by the means of simulation, and the load characteristics of the components during the deploying process must be obtained. As a typical flexible multi-body system, a geometric precise beam is used to model bars with large deformation in the LETA and the flexible driving cable is modeled based on one-dimensional dynamic medium dynamics theory. The dynamic modeling and numerical simulation of the deploying process are presented in the paper. On this basis, the unsynchronized phenomenon is analyzed, which is caused mainly by the flexibility of components and the friction loss of driving cable through the hinges. In addition, from the perspective of energy, it shows that friction loss and mesh tension are the most important factors affecting the loads of driving cable and truss. Finally, the design optimization suggestions are given to improve the reliability.
引文
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16 Peng Y,Zhao Z H,Zhou M,et al.Flexible multibody model and dynamicsof deployment of mesh antenna.J Guidance Control Dyn,2017,40:1-8
17 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,2016,13:82-87[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,2016,13:82-87]
18 Peng Y,Yang J G,Xiao Y,et al.Gravity effect on the deployment dynamics of the astromesh(in Chinese).Eng Mech,2018,35:226-234[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,2018,35:226-234]
19 Yang J G,Xiao Y,Zhao Z H,et al.Distributed driving method and numerical analysis of large hoop-truss deployable antenna(in Chinese).Sci Sin-Phys Meach Astron,2017,47:104604[杨军刚,肖勇,赵治华,等.大型环形桁架天线分布式驱动展开方法与数值分析.中国科学:物理学力学天文学,2017,47:104604]
20 Li P,Tian Q.Dynamics of a deployable mesh reflector of satellite antenna:Parallel computation and deployment simulation.J Comput Nonlinear Dyn,2016,11:1903-1918
21 Simo J C,Vu-Quoc L.A three-dimensional finite-strain rod model.Part II:Computational aspects.Comput Methods Appl Mech Eng,1986,58:79-116
22 Bauchau O A.Flexible Multibody Dynamics.Dordrecht:Springer Netherlands,2011
23 Banerjee A K.Contributions of multibody dynamics to space flight:A brief review.J Guidance Control Dyn,2003,26:385-394
24 Hu J F,Xiao Y,Yang J G,et al.Sensitivity analysis of dynamic parameters of antenna deployment(in Chinese).Space Electron Tech,2017,14:58-63[胡建峰,肖勇,杨军刚,等.天线展开过程动力学参数敏感性分析.空间电子技术,2017,14:58-63]
25 Goldstein H,Poole C P,Safko J L.Classical Mechanics.3rd ed.San Francisco:Addison Wesley,2002
26 Hairer E,Wanner G.Solving Ordinary Differential Equations II:Stiff and Differential-Algebraic Problems.2nd ed.Berlin:Springer-Verlag,1996
27 Zhao Z H.Research on Modeling and Deployment Dynamics of Flexible Multibody System(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]
28 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]
29 Wu T H,Hong J Z,Liu Z Y.Advances of geometrically exact 3D beam theory(in Chinese).China Science Paper,2013,11:1126-1130[吴坛辉,洪嘉振,刘铸永.非线性几何精确梁理论研究综述.中国科技论文,2013,11:1126-1130]
2 Takano T,Miura K,Natori M,et al.Deployable antenna with 10-m maximum diameter for space use.IEEE Trans Antennas Propagat,2004,52:2-11
3 Zhang H Z,Ma X F,Song Y P,et al.Design method of high precision perimeter truss antenna on board(in Chinese).Chin Space Sci Tech,2013,V33:1-6[张华振,马小飞,宋燕平,等.星载高精度环形网状天线设计方法.中国空间科学技术,2013,V33:1-6]
4 Veruttipong T,Galindo-Israel V,Imbriale W A.Low-loss offset feeds for electrically large symmetric dual-reflector antennas.IEEE Trans Antennas Propagat,1987,35:745-755
5 Sharma S B,Pujara D,Chakrabarty S B.Cross-polarization cancellation in an offset parabolic reflector antenna using a corrugated matched feed.IEEE Trans Anten Propagat,2009,8:861-864
6 Mizusawa M,Urasaki S,Betsudan S I,et al.A dual doubly curved reflector antenna having good circular polarization characteristics.IEEE Trans Antennas Propagat,1978,26:455-458
7 Li T.Deployment analysis and control of deployable space antenna.Aerospace Sci Tech,2012,18:42-47
8 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 Manufact,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]
9 Li Y Z,Chen G D,Wang S M,et al.Simulation of deploy process of hoop truss deployable satellite antenna(in Chinese).Mach Design Manufact,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]
10 Qi C H,Chang J G,Wang G,et al.Deployment dynamic analysis and control of hoop truss deployable antenna(in Chinese).Acta Astronaut,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]
11 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]
12 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]
13 Zhao M L.Dynamic Analysis,Simulation and Experiment of Deployable Space Structures(in Chinese).Dissertation for Doctoral Degree.Hangzhou: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.杭州:浙江大学,2007]
14 Li T J,Zhang Y,Li T.Deployment dynamic analysis and control of deployable truss antenna(in Chinese).Aeronaut 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]
15 Zhan F.Study on the Homologous Deformation Design of Antenna Structures,Experiment and Clearance of Deployable Structures(in Chinese).Dissertation for Doctoral Degree.Hangzhou: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.杭州:浙江大学,2008]
16 Peng Y,Zhao Z H,Zhou M,et al.Flexible multibody model and dynamicsof deployment of mesh antenna.J Guidance Control Dyn,2017,40:1-8
17 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,2016,13:82-87[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,2016,13:82-87]
18 Peng Y,Yang J G,Xiao Y,et al.Gravity effect on the deployment dynamics of the astromesh(in Chinese).Eng Mech,2018,35:226-234[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,2018,35:226-234]
19 Yang J G,Xiao Y,Zhao Z H,et al.Distributed driving method and numerical analysis of large hoop-truss deployable antenna(in Chinese).Sci Sin-Phys Meach Astron,2017,47:104604[杨军刚,肖勇,赵治华,等.大型环形桁架天线分布式驱动展开方法与数值分析.中国科学:物理学力学天文学,2017,47:104604]
20 Li P,Tian Q.Dynamics of a deployable mesh reflector of satellite antenna:Parallel computation and deployment simulation.J Comput Nonlinear Dyn,2016,11:1903-1918
21 Simo J C,Vu-Quoc L.A three-dimensional finite-strain rod model.Part II:Computational aspects.Comput Methods Appl Mech Eng,1986,58:79-116
22 Bauchau O A.Flexible Multibody Dynamics.Dordrecht:Springer Netherlands,2011
23 Banerjee A K.Contributions of multibody dynamics to space flight:A brief review.J Guidance Control Dyn,2003,26:385-394
24 Hu J F,Xiao Y,Yang J G,et al.Sensitivity analysis of dynamic parameters of antenna deployment(in Chinese).Space Electron Tech,2017,14:58-63[胡建峰,肖勇,杨军刚,等.天线展开过程动力学参数敏感性分析.空间电子技术,2017,14:58-63]
25 Goldstein H,Poole C P,Safko J L.Classical Mechanics.3rd ed.San Francisco:Addison Wesley,2002
26 Hairer E,Wanner G.Solving Ordinary Differential Equations II:Stiff and Differential-Algebraic Problems.2nd ed.Berlin:Springer-Verlag,1996
27 Zhao Z H.Research on Modeling and Deployment Dynamics of Flexible Multibody System(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]
28 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]
29 Wu T H,Hong J Z,Liu Z Y.Advances of geometrically exact 3D beam theory(in Chinese).China Science Paper,2013,11:1126-1130[吴坛辉,洪嘉振,刘铸永.非线性几何精确梁理论研究综述.中国科技论文,2013,11:1126-1130]