An Electromagnetic Performance Weighted Tension Design Method of Cable Network for Mesh Reflectors

doi:10.3901/JME.260599

Abstract

Abstract: Tension design of cable network is the key point for mesh reflectors to realize the high surface accuracy and electromagnetic performance. Different from the traditional uniform tension design method, an electromagnetic performance weighted tension design method is proposed. The main innovation lies in the transformation from the objective function of traditional uniform tension distribution to the tension design based on the electromagnetic distribution, namely, the strong tensions appear in the position with high electromagnetic performance requirement. By introducing the aperture field amplitude distribution function defined in electromagnetic design as the tension distribution basis for the tie cables, an optimization model is established with the electromagnetic performance weighted tension design method. Furthermore, both the tension amplitude exerted on the truss and the mean value of electromagnetic performance with structural random errors are chosen as the evaluation functions from both the mechanical and electromagnetic viewpoints. An offset cable mesh reflector is selected in the example, and the results show that, compared with the traditional uniform tension design method and under the same average tie cable tensions, the proposed method can provide a better mechanical and electromagnetic performance.

Key words: mesh reflectors, tension design, electromagnetic performance, weighted, gain

CLC Number:

TN82

ZHANG Shuxin, KOU Danyang, ZHANG Shunji, CHEN Xiaofeng. An Electromagnetic Performance Weighted Tension Design Method of Cable Network for Mesh Reflectors[J]. Journal of Mechanical Engineering, 2026, 62(11): 342-352.

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URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260599

http://www.cjmenet.com.cn/EN/Y2026/V62/I11/342

References

[1] DUAN B. Large spaceborne deployable antennas (LSDAs)-a comprehensive summary[J]. Chinese Journal of Electronics，2020，29(1)：1-15.
[2] 刘荣强，史创，郭宏伟，等. 空间可展开天线机构研究与展望[J]. 机械工程学报，2020，56(5)：1-12. LIU Rongqiang，SHI Chuang，GUO Hongwei，et al. Review of space deployable antenna mechanisms[J]. Journal of Mechanical Engineering，2020，56(5)：1-12.
[3] 陈传志，董家宇，陈金宝，等. 空间大型星载抛物面天线研究进展[J]. 航空学报，2021，42(1)：133-153. CHEN Chuanzhi，DONG Jiayu，CHEN Jinbao，et al. Large spaceborne parabolic antenna: research progress[J]. Acta Aeronautica et Astronautica Sinica, 2021，42(1)：133-153.
[4] 李欢笑, 吕胜男, 马小飞, 等. 在轨组装空间天线模块化单元设计方法[J]. 机械工程学报，2024，60(13)：345-353. LI Huanxiao，LÜ Shengnan，MA Xiaofei，et al. Design method for modular units of space antennas assembled on-orbit[J]. Journal of Mechanical Engineering，2024，60(13)：345-353.
[5] 马小飞，李洋，肖勇，等. 大型空间可展开天线反射器研究现状与展望[J]. 空间电子技术，2018，15(2)：16-26. MA Xiaofei，LI Yang，XIAO Yong，et al. Development and tendency of large space deployable antenna reflector[J]. Space Electronic Technology，2018，15(2)：16-26.
[6] ZHANG S, DU J, DUAN B, et al. Integrated structural-electromagnetic shape control of cable mesh reflector antennas[J]. AIAA Journal，2015，53(5)：1395-1399.
[7] MORTEROLLE S，MAURIN B，QUIRANT J，et al. Numerical form-finding of geotensoid tension truss for mesh reflector[J]. Acta Astronautica，2012，76(4)：154-163.
[8] WANG X，CAI J，YANG R，et al. Form-finding of deployable mesh reflectors using dynamic relaxation method[J]. Acta Astronautica，2018，151：380-388.
[9] YANG D，ZHANG Y，YANG G，et al. Least-squares minimization of boundary cable tension ratios for mesh reflectors[J]. AIAA Journal，2018，56(2)：883-888.
[10] MADDIO P D，MESCHINI A，SINATRA R，et al. An optimized form-finding method of an asymmetric large deployable reflector[J]. Engineering Structures，2019，181：27-34.
[11] NIE R，HE B，YAN S，et al. Optimization design method for mesh reflector antennas considering the truss deformation and thermal effects[J]. Engineering Structures，2020，208：110253.
[12] ZHANG S, ZHANG S, ZHANG Y, et al. Force density sensitivity form-finding design method for cable-mesh reflector antennas considering interactive effects between cable network and supporting truss[J]. Engineering Structures，2021，244(1)：112722.
[13] YUAN P，HE B，ZHANG L，et al. Pretension modeling and form-finding for cable-network antennas with varying topologies and parameters[J]. Aerospace Science and Technology，2021，112(2)：106631.
[14] ZHANG J，HE B，NIE R，et al. High-accuracy design for mesh antennas considering the metallic mesh[J]. Engineering Structures，2022，226：107415.
[15] YUAN P，HE B，ZHANG L，et al. Pretension design for mesh reflector antennas with flexible trusses and hinges based on the equilibrium matrix method[J]. Aerospace Science and Technology，2023，140：108437.
[16] 谷永振，段宝岩，杜敬利，等. 基于改进力密度法和非线性有限元法的索-膜-桁架天线形态优化设计[J]. 机械工程学报，2023，59(9)：252-262. GU Yongzhen，DUAN Baoyan，DU Jingli，et al. Shape-state optimal design of cable-membrane-truss antenna based on improved force density method and nonlinear finite element method[J]. Journal of Mechanical Engineering，2023，59(9)：252-262.
[17] ZHANG S，DUAN B，SONG L，et al. A handy formula for estimating the effects of random surface errors on average power pattern of distorted reflector antennas[J]. IEEE Transactions on Antennas and Propagation，2019，67(1)：649-653.
[18] ZHANG S，DUAN B. Integrated structural- electromagnetic optimization of cable mesh reflectors considering pattern degradation for random structural errors[J]. Structural and Multidisciplinary Optimization，2020，61：1621-1635.