Novel Computational Method for Evaluation of the Effects of Random Rib Assemblage Errors on the Performance of Umbrella Antennas
Publication: Journal of Aerospace Engineering
Volume 35, Issue 3
Abstract
To reveal the effects of random rib assemblage errors caused by misalignment on the performance of umbrella antennas, a novel computational method is proposed to evaluate the effects of random rib assemblage errors on surface accuracy, and is further extended to assess the gain loss of electromagnetic performance. Based on the assumption of equilibrium equation of cable-nets and small amplitude deformation, the computational formula of surface accuracy with respect to random rib assemblage errors is derived. With the help of Ruze’s formula, the computational formula of gain loss with respect to random rib assemblage errors is obtained. Taking a typical umbrella antenna as a simulation example, the effects of random rib assemblage errors on antenna performance are investigated and verified by the Monte Carlo method. Simulation shows that the proposed method can predict the degradation of both structural and electromagnetic performance for umbrella antennas accurately with small amplitude deformation, and improve the computational efficiency with satisfactory accuracy, which will benefit the design of umbrella antennas.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The authors would like to thank the reviewers for their very beneficial comments and suggestions, which helped a lot in improving this paper.
References
Agrawal, P. K., M. S. Anderson, and M. F. Card. 1981. “Preliminary design of large reflectors with flat facets.” IEEE Trans. Antennas Propag. 29 (4): 688–694. https://doi.org/10.1109/TAP.1981.1142631.
Bahadori, K., and Y. Rahmat-Samii. 2005. “Characterization of effects of periodic and aperiodic surface distortions on membrane reflector antennas.” IEEE Trans. Antennas Propag. 53 (9): 2782–2791. https://doi.org/10.1109/TAP.2005.854529.
Cheng, J., Z. Liu, Y. Qian, Z. Zhou, and J. Tan. 2020. “Non-probabilistic robust equilibrium optimization of complex uncertain structures.” ASME J. Mech. Des. 142 (2): 021405. https://doi.org/10.1115/1.4044322.
Cheng, J., Z. Liu, M. Tang, and J. Tan. 2017. “Robust optimization of uncertain structures based on normalized violation degree of interval constraint.” Comput. Struct. 182 (Apr): 41–54. https://doi.org/10.1016/j.compstruc.2016.10.010.
Cheng, J., Z. Liu, Z. Wu, M. Tang, and J. Tan. 2016. “Direct optimization of uncertain structures based on degree of interval constraint violation.” Comput. Struct. 164 (Feb): 83–94. https://doi.org/10.1016/j.compstruc.2015.11.006.
Deng, H., T. Li, and Z. Wang. 2015a. “Pretension design for space deployable mesh reflectors under multi-uncertainty.” Acta Astronaut. 115 (Oct): 270–276. https://doi.org/10.1016/j.actaastro.2015.05.038.
Deng, H., T. Li, Z. Wang, and X. Ma. 2015b. “Pretension design of space mesh reflector antennas based on projection principle.” J. Aerosp. Eng. 28 (6): 04014142. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000483.
Du, J., H. Bao, and C. Cui. 2014. “Shape adjustment of cable mesh reflector antennas considering modeling uncertainties.” Acta Astronaut. 97 (Apr): 164–171. https://doi.org/10.1016/j.actaastro.2014.01.001.
Du, J., Y. Zhang, C. Wang, and Y. Zhang. 2021. “Robust optimal design for surface accuracy of mesh reflectors considering cable length inaccuracy.” J. Aerosp. Eng. 34 (1): 04020090. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001207.
Duan, B. 2020. “Large spaceborne deployable antennas (LSDAs)—A comprehensive summary.” Chin. J. Electron. 29 (1): 1–15. https://doi.org/10.1049/cje.2019.09.001.
Fu, K., J. Du, J. Li, and Z. Zhao. 2018. “Robust design of tension truss antennas against variation in tension truss.” AIAA J. 56 (8): 3374–3381. https://doi.org/10.2514/1.J056461.
Fu, W., and S. Nelaturi. 2017. “Automatic tolerance analysis for assessing manufacturing errors in machining plans.” ASME J. Mech. Des. 139 (4): 041701. https://doi.org/10.1115/1.4035826.
Hedgepeth, J. M. 1982. “Accuracy potentials for large space antenna reflectors with passive structure.” J. Spacecraft Rockets 19 (3): 211–217. https://doi.org/10.2514/3.62239.
Jo, S. J., J. Y. Lee, S. S. Yoon, T.-K. Lee, and J. W. Lee. 2018. “Performance degradation of deployable antenna from panel misalignment with random surface errors.” In Proc., Int. Symp. on Antennas and Propagation (ISAP), 1–2. New York: IEEE.
Lee, J. Y., S. S. Yoon, S. H. Kim, T.-K. Lee, J. W. Lee, J. H. Roh, and D. W. Yi. 2016. “Performance of solid deployable antenna for panel misalignment.” In Proc., URSI Asia-Pacific Radio Science Conf., 877–879. New York: IEEE.
Liu, R., H. Guo, R. Liu, D. Tang, H. Wang, and Z. Deng. 2019. “Design and form finding of cable net for a large cable-rib tension antenna with flexible deployable structures.” Eng. Struct. 199 (Nov): 109662. https://doi.org/10.1016/j.engstruct.2019.109662.
Mobrem M. 2003. “Methods of analyzing surface accuracy of large antenna structures due to manufacturing tolerances.” In Proc., 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf. Reston, VA: American Institute of Aeronautics and Astronautics.
Rahmat-Samii, Y., V. Manohar, J. M. Kovitz, R. E. Hodges, G. Freebury, and E. Peral. 2019. “Development of highly constrained 1 m Ka-band mesh deployable offset reflector antenna for next generation CubeSat radars.” IEEE Trans. Antennas Propag. 67 (10): 6254–6266. https://doi.org/10.1109/TAP.2019.2920223.
Sa, G., Z. Liu, C. Qiu, X. Peng, and J. Tan. 2021. “Novel performance-oriented tolerance design method based on locally inferred sensitivity analysis and improved polynomial chaos expansion.” ASME J. Mech. Des. 143 (2): 022001. https://doi.org/10.1115/1.4047683.
Sa, G., Z. Liu, C. Qiu, and J. Tan. 2019. “A novel region-division-based tolerance design method for a large number of discrete element distributed on a large surface.” ASME J. Mech. Des. 141 (4): 041701. https://doi.org/10.1115/1.4041573.
Sa, G., Z. Liu, C. Qiu, and J. Tan. 2020. “A hybrid tolerance design method for the active phased-array antenna.” Appl. Sci. 10 (4): 1435. https://doi.org/10.3390/app10041435.
Tang, Y., Z. Shi, T. Li, and Z. Wang. 2019. “Double-layer cable-net structures for deployable umbrella reflectors.” J. Aerosp. Eng. 32 (5): 04019068. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001072.
Yoon, S. S., J. W. Lee, T.-K. Lee, and J. H. Roh. 2018. “Insensitivity characteristics in the dual polarization of deployable CFRP reflector antennas for SAR.” IEEE Trans. Antennas Propag. 66 (1): 88–95. https://doi.org/10.1109/TAP.2017.2772315.
Yuan, S., and W. Jing. 2021. “Optimal shape adjustment of large high-precision cable network structures.” AIAA J. 59 (4): 1441–1456. https://doi.org/10.2514/1.J059989.
Yuan, S., and B. Yang. 2021. “Shape adjustment of large deployable mesh reflectors under thermal strain.” In Proc., AIAA SciTech Forum. Reston, VA: American Institute of Aeronautics and Astronautics.
Yuan, S., B. Yang, and H. Fang. 2018a. “Form-finding of large deployable mesh reflectors with elastic deformation of supporting structures.” In Proc., AIAA SciTech Forum. Reston, VA: American Institute of Aeronautics and Astronautics.
Yuan, S., B. Yang, and H. Fang. 2018b. “The projecting surface method for improvement of surface accuracy of large deployable mesh reflectors.” Acta Astronaut. 151 (Oct): 678–690. https://doi.org/10.1016/j.actaastro.2018.07.005.
Yuan, S., B. Yang, and H. Fang. 2019a. “Enhancement of large deployable mesh reflectors by the self-standing truss with hard points.” In Proc., AIAA SciTech Forum. Reston, VA: American Institute of Aeronautics and Astronautics.
Yuan, S., B. Yang, and H. Fang. 2019b. “Self-standing truss with hard-point-enhanced large deployable mesh reflectors.” AIAA J. 57 (11): 5014–5026. https://doi.org/10.2514/1.J058446.
Yuan, S., B. Yang, and H. Fang. 2020. “Direct root-mean-square error for surface accuracy evaluation of large deployable mesh reflectors.” In Proc., AIAA Scitech Forum. Reston, VA: American Institute of Aeronautics and Astronautics.
Yuan, S., and W. Zhu. 2021. “Optimal self-stress determination of tensegrity structures.” Eng. Struct. 238 (Jul): 112003. https://doi.org/10.1016/j.engstruct.2021.112003.
Zhang, S., and B. Duan. 2020. “Integrated structural-electromagnetic optimization of cable mesh reflectors considering pattern degradation for random structural errors.” Struct. Multidiscip. Optim. 61 (Jan): 1621–1635. https://doi.org/10.1007/s00158-019-02439-9.
Zhang, S., and B. Duan. 2021. “Random error characterization of non-smooth parabolic reflector antennas with gore-faceted or discontinuous surface.” IEEE Trans. Antennas Propag. 69 (4): 1922–1930. https://doi.org/10.1109/TAP.2020.3026870.
Zhang, S., B. Duan, J. Huang, and Y. Gu. 2018. “Fast pattern calculation of rib reflectors with varying surface distortions.” IEEE Trans. Antennas Propag. 66 (3): 1198–1207. https://doi.org/10.1109/TAP.2018.2794360.
Zong, Y., N. Hu, B. Duan, J. Du, W. Xu, and G. Yang. 2016. “Robust design of cable-network antennas with imperfect cable lengths.” J. Aerosp. Eng. 29 (2): 04015034. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000523.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 35 • Issue 3 • May 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Sep 29, 2021
Accepted: Dec 9, 2021
Published online: Jan 31, 2022
Published in print: May 1, 2022
Discussion open until: Jun 30, 2022
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.