Faceting Deviation Calculation of Cable-Net Reflector Antenna

doi:10.3901/JME.2022.07.176

Abstract

Abstract: The reflection and reception of electromagnetic signals of cable-net reflector antenna are realized by the wire mesh supported by the cable net system. The wire mesh is divided into a series of small facets, which makes it a faceting error between the wire mesh reflector and the ideal one, determining the electromagnetic performance in engineering design stage. The relationship between the axial faceting deviation and the facet size for the paraboloidal reflector is derived by using the area coordinate. The calculation formulas of the faceting deviation are given and verified. Results show that the maximum value and the root mean square value of the faceting deviation can be uniquely determined by the focal length of the reflector and the projection geometry of the facet on the aperture plane. Given the projection side lengths of the facet, the accurate faceting deviation results can be obtained quickly by using the derived formula. The results can provide guidance for the preliminary design of the cable net antenna.

Key words: cable net antenna, faceting error, area coordinate

CLC Number:

TH122

CHEN Congcong, LI Tuanjie, TANG Yaqiong. Faceting Deviation Calculation of Cable-Net Reflector Antenna[J]. Journal of Mechanical Engineering, 2022, 58(7): 176-182.

References

[1] 李团结,马小飞. 大型空间可展开天线技术研究[J]. 空间电子技术,2012,9(3):35-39. LI Tuanjie,MA Xiaofei. Technologies of large deployable space antennas[J]. Space Electronic Technology,2012, 9(3):35-39.
[2] TANG Yangqiong,LI Tuanjie,WANG Zuowei,et al. Surface accuracy analysis of large deployable antennas[J]. Acta Astronautica,2014,104(1):125-133.
[3] LAI C Y,PELLEGRINO S. Umbrella-type furlable reflector based on tension-truss concept[C]//AIAA Applied Aerodynamics Conference. 2013.
[4] TIBERT G. Deployable tensegrity structures for space applications[D]. Stockholm:Royal Institute of Technology,2002.
[5] MEGURO A,SHINTATE K,USUI M,et al. In-orbit deployment characteristics of large deployable antenna reflector onboard Engineering Test Satellite VIII[J]. Acta Astronautica,2009,65(9):1306-1316.
[6] BAARS J W M. The paraboloidal reflector antenna in radio astronomy and communication:theory and practice[M]. New York:Springer,2007.
[7] TANG Yangqiong,LI Tuanjie,MA Xiaofei. Form-finding of cable net reflector antennas considering creep and recovery behaviors[J]. Journal of Spacecraft and Rockets,2016,53(4):610-618.
[8] 陈聪聪,李团结,马小飞. 空间可展开结构静力多稳态分析[J]. 机械工程学报,2020,56(5):72-79. CHEN Congcong,LI Tuanjie,MA Xiaofei. Static multiple-stable-state analysis of deployable structures with clearance joints[J]. Journal of Mechanical Engineering,2020,56(5):72-79.
[9] RUZE J. Antenna tolerance theory-A review[J]. Proc IEEE,1966,54(4):633-640.
[10] RUZE J. The effect of aperture errors on the antenna radiation pattern[J]. Il Nuovo Cimento (1943-1954),1952,9(3):364-380.
[11] RAHMAT-SAMII Y. An efficient computational method for characterizing the effects of random surface errors on the average power pattern of reflectors[J]. IEEE Transactions on Antennas & Propagation,1983,31(1):92-98.
[12] CHEN Congcong,LI Tuanjie,TANG Yangqiong. Mesh generation of elliptical aperture reflectors[J]. Journal of Aerospace Engineering,2019,32(4):04019025.
[13] AGRAWAL P,ANDERSON M,CARD M. Preliminary design of large reflectors with flat facets[J]. Antennas & Propagation IEEE Transactions on,1981,29(4):688-694.
[14] HEDGEPETH J M. Accuracy potentials for large space antenna reflectors with passive structure[J]. Journal of Spacecraft and Rockets,1982,19(3):211-211.
[15] 杨东武,尤国强,保宏. 抛物面索网天线的最佳型面设计方法[J]. 机械工程学报,2011,47(19):123-128. YANG Dongwu,YOU Guoqiang,BAO Hong. Best geometry design method for paraboloid reflectors of mesh antenna[J]. Journal of Mechanical Engineering,2011, 47(19):123-128.
[16] 钟顺时. 天线理论与技术[M]. 北京:电子工业出版社,2015. ZHONG Shunshi. Antenna theory and techniques[M]. Beijing:Publishing House of Electronics Industry,2015.
[17] MERTIE J B. Transformation of trilinear and quadriplanar coordinates to and from Cartesian coordinates[J]. The American Mineralogist,1964,49(7/8):926-936.