In order to make a high precision electrostatically controlled deployable membrane antenna (ECDMA), the first thing was to do a layout optimization for all electrodes using the two level optimization method of the genetic algorithm and the gradient method. Based on the optimization idea, shape parameters of an initial membrane surface were solved with given voltage, cable tension and ideal membrane surface to get an initial membrane surface with no stress. The cutting analysis was done for the initial membrane surface with no stress. Pieces of the surface were flatted to get flat cut pieces using the method of equivalent mechanics. Based on the finite element idea, flat cut pieces were spliced to obtain the initial membrane surface state. After static electric force and cable tension were exerted on, the final forming state of the theoretical spliced reflector was gained. Based on the theory mentioned above, a 0.55m long ECDMA model was designed, a camera measurement system was built based on the software Digimetric. The shape surface precision measurement was done for the ECDMA model. It was shown that after repeated measurement and profile adjustment, its membrane surface precision reaches 0.13mm; the realizability of a high precision making is verified.
[1] DUAN Bao-yan, GAO Feng, Du Jing-li, et al. Optimization and experiment of electrostatic forming membrane reflector in space[J].Journal of Mechanical Science an Technology,April 2015,29(4):1355-1360.
[2] LIU Chao, YANG Gui-geng, ZHANG Yi-qun. Optimization design combined with coupled structural–electrostatic analysis for the electrostatically controlled deployable membrane reflector [J].Acta Astronautica,2015,106: 90–100.
[3] GAO Feng, ZHANG Yi-qun, LIU Chao, et al. Shape control of membrane reflector with electrostatic forming[C]. Mechatronic Sciences, Electric Engineering and Computer (MEC), Proceedings 2013 International Conference on. IEEE, 2013, 2888-2892.
[4] Gu Yong-zhen, Du Jing-li, JIANG Wen-ming,, et al. Initial shape optimization for ECDMA based on coupled structural-electrostatic theory [C].Fifth Asia International Symposium on Mechatronics,2015.
[5] A.E. P. Ground-based optical observation of orbital debris: Areview[J]. Advanced in Space Research, 1995, 16(11): 35-45.
[6] Dennis J, Peter J. Electrostatically formed antennas [R].AIAA, 1979.
[7] Dennis J. Test progress on the electrostatic membrane mirror[R].NASA, 1981.
[8] B. P, J. M, S. C. Final Testing and Evaluation of a Meter-Class Actively Controlled Membrane Mirror [C]. 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Con. Newport, 2006: 1901.
[9] 徐彦,关富玲,马燕红.充气可展开天线的反射面设计及 精度测量[J].浙江大学学报(工学版),2007,41(11)： 1921-1926.
XU Yan, GUAN Fu-ling, MA Yan-hong. Reflector design and precision measurement of inflatable antennas[J]. Journal of Zhejiang University (Enginnering Science), 2007, 41(11): 1921-1926.
[10] 高峰.静电成形薄膜反射面天线形面综合优化设计及实 验研究[D].西安:西安电子科技大学,2013.
GAO Feng. Integrated optimization design and experimental study for the electrostatic forming membrane reflector[D]. Xi’an: Xidian University, 2013.
[11] Bouzidi R, Lecieux Y. A numerical method to optimize the design of a space inflatable membrane reflector[J]. Acta Astronautica, 2012, 74:69-78.
[12] 刘超.静电成形薄膜反射面可展开形面分析理论与制 作方法研究[D].西安:西安电子科技大学,2013.
LIU Chao. Study on the method of surface analysis and fabrication of the electrostatic forming membrane deployable antenna[D]. Xi’an: Xidian University, 2013.
[13] SAN Bing-bing, WU Yue, SUN Xiao-ying. Shape error study of inflatable antennas using a numerical model[J]. Acta Astronautica, 2014, 104:11-25.
