Abstract

Cable length adjustment is a critical step to minimize the shape error of cable-net reflectors. The adjustment requires tedious repetitive work, but the surface accuracy is often unsatisfactory because of inevitable operating error and modeling inaccuracy. To solve this problem, this work proposes a target-approaching and procedural-learning method. At the initial stage of the adjustment process, the target-approaching method is proposed to ensure the shape error is improved and that adjustment data are generated. Then an online prediction model is built by sensitivity analysis and least-squares support vector machine. On this basis, a multidimensional forward-backward algorithm is applied to calculate the optimal adjustment amounts in order to achieve fast convergence of adjustment accuracy. Finally, the proposed method is verified by both numerical simulation and prototype experimentation. The results show that the proposed method can well reflect the adjustment characteristics of cable-net reflectors, effectively improve shape accuracy, and greatly shorten adjustment time.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This project is supported by the National Natural Science Foundation of China (Grant Nos. 51775403 and 51905401).

References

Belvin, W. K., H. H. Edighoffer, and C. L. Herstrom. 1989. “Quasistatic shape adjustment of a 15-meter-diameter space antenna.” J. Spacecraft Rockets 26 (3): 129–136. https://doi.org/10.2514/3.26044.
Chen, C. C., T. J. Li, and Y. Q. Tang. 2019. “Mesh generation of elliptical aperture reflectors.” J. Aerosp. Eng. 32 (4): 04019025. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001014.
Gong, Y., Y. Zhang, S. Lan, and H. Wang. 2016. “A comparative study of artificial neural networks, support vector machines and adaptive neuro fuzzy inference system for forecasting groundwater levels near Lake Okeechobee, Florida.” Water Resour. Manage. 30 (1): 375–391. https://doi.org/10.1007/s11269-015-1167-8.
Li, T. J., J. C. Shi, and Y. Q. Tang. 2018. “Influence of surface error on electromagnetic performance of reflectors based on Zernike polynomials.” Acta Astronaut. 145 (Apr): 396–407. https://doi.org/10.1016/j.actaastro.2018.01.063.
Li, T. J., Y. Q. Tang, and T. Zhang. 2016. “Surface adjustment method for cable net structures considering measurement uncertainties.” Aerosp. Sci. Technol. 59 (Dec): 52–56. https://doi.org/10.1016/j.ast.2016.10.012.
Meguro, A., S. Harada, and M. Watanabe. 2003. “Key technologies for high-accuracy large mesh antenna reflectors.” Acta Astronaut. 53 (11): 899–908. https://doi.org/10.1016/S0094-5765(02)00211-4.
Meloni, M., J. Cai, Q. Zhang, D. Sang-Hoon Lee, M. Li, R. Ma, T. E. Parashkevov, and J. Feng. 2021. “Engineering origami: A comprehensive review of recent applications, design methods, and tools.” Adv. Sci. 8 (13): 2000636. https://doi.org/10.1002/advs.202000636.
Miyasaka, A., Y. Takano, N. Yasui, and T. Nakagawa. 2018. “Surface design method incorporating compression members for cable-mesh reflectors.” J. Spacecraft Rockets 55 (1): 214–222. https://doi.org/10.2514/1.A33875.
Morterolle, S., B. Maurin, J. Quirant, and C. Dupuy. 2012. “Numerical form-finding of geotensoid tension truss for mesh reflector.” Acta Astronaut. 76 (Jul): 154–163. https://doi.org/10.1016/j.actaastro.2012.02.025.
Muller, K. R., S. Mika, G. Ratsch, K. Tsuda, and B. Scholkopf. 2001. “An introduction to kernel-based learning algorithms.” IEEE Trans. Neural Networks 12 (2): 181–201. https://doi.org/10.1109/72.914517.
Scialino, L., A. Ihle, M. Migliorelli, N. Gatti, L. Datashvili, K. van‘t Klooster, and J. S. Prowald. 2013. “Large deployable reflectors for telecom and earth observation applications.” CEAS Space J. 5 (3): 125–146. https://doi.org/10.1007/s12567-013-0044-7.
Suykens, J. A., and J. Vandewalle. 1999. “Least squares support vector machine classifiers.” Neural Process. Lett. 9 (3): 293–300. https://doi.org/10.1023/A:1018628609742.
Tanaka, H., and M. C. Natori. 2006. “Shape control of cable-network structures based on concept of self-equilibrated stresses.” JSME Int J. Ser. C 49 (4): 1067–1072. https://doi.org/10.1299/jsmec.49.1067.
Tang, Y., and T. Li. 2017. “Equivalent-force density method as a shape-finding tool for cable-membrane structures.” Eng. Struct. 151 (Nov): 11–19. https://doi.org/10.1016/j.engstruct.2017.08.010.
Tang, Y. Q., T. J. Li, Y. Liu, and Z. W. Wang. 2019a. “Minimization of cable-net reflector shape error by machine learning.” J. Spacecraft Rockets 56 (6): 1757–1764. https://doi.org/10.2514/1.A34464.
Tang, Y. Q., Z. Y. Shi, T. J. Li, and Z. W. Wang. 2019b. “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.
Wang, X., J. Cai, D. S.-H. Lee, Y. Xu, and J. Feng. 2021. “Numerical form-finding of multi-order tensegrity structures by grouping elements.” Steel Compos. Struct. 41 (2): 267–277. https://doi.org/10.12989/scs.2021.41.2.267.
Wang, X., J. Cai, R. Yang, and J. Feng. 2018. “Form-finding of deployable mesh reflectors using dynamic relaxation method.” Acta Astronaut. 151 (Oct): 380–388. https://doi.org/10.1016/j.actaastro.2018.06.017.
Yang, Y., S. Xie, W. Zhang, J. Luo, and H. Li. 2016. “Accuracy model, analysis, and adjustment in the context of multi-closed-loop planar deployable mechanisms.” Adv. Mech. Eng. 8 (3): 1–15. https://doi.org/10.1177/1687814016641836.
Zegnini, B., A. H. Mahdjoubi, and M. Belkheiri. 2011. “A least squares support vector machines (LS-SVM) approach for predicting critical flashover voltage of polluted insulators.” In Proc., 2011 Annual Report Conf. on Electrical Insulation and Dielectric Phenomena, 403–406. New York: IEEE.

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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 35Issue 3May 2022

History

Received: Oct 18, 2021
Accepted: Dec 28, 2021
Published online: Feb 10, 2022
Published in print: May 1, 2022
Discussion open until: Jul 10, 2022

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Zhiyang Shi [email protected]
Ph.D. Candidate, School of Mechano-Electronic Engineering, Xidian Univ., P.O. Box 188, Xi’an 710071, China. Email: [email protected]
Professor, School of Mechano-Electronic Engineering, Xidian Univ., P.O. Box 188, Xi’an 710071, China (corresponding author). ORCID: https://orcid.org/0000-0002-5426-8120. Email: [email protected]
Lecturer, School of Mechano-Electronic Engineering, Xidian Univ., P.O. Box 188, Xi’an 710071, China. ORCID: https://orcid.org/0000-0001-9725-0839. Email: [email protected]
Xiaofeng Chen [email protected]
Research Fellow, Eighth Research Dept., Aerospace System Engineering Shanghai, Shanghai 201109, China. Email: [email protected]
Engineer, Eighth Research Dept., Aerospace System Engineering Shanghai, Shanghai 201109, China. Email: [email protected]
Associate Professor, School of Mechano-Electronic Engineering, Xidian Univ., P.O. Box 188, Xi’an 710071, China. ORCID: https://orcid.org/0000-0001-9602-7344. Email: [email protected]

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