Inverse finite element-based shape reconstruction method for large-scale space antenna

Inverse finite element-based shape reconstruction method for large-scale space antenna

Tianxiang Huang, Tianyu Dong, Shenfang Yuan

download PDF

Abstract. Large-scale space antennas will experience rapid temperature changes and non-uniform temperature distribution during orbit operation. These thermal excitations will lead to unpredictable deformation of the antenna. To ensure its normal operation, real-time and reliable shape monitoring of the antenna is necessary for further array correction and compensation. The structural shape reconstruction method based on strain information and fiber Bragg grating sensors is one of the most potent methods. This paper proposed an inverse finite element-based shape reconstruction method with variable element size for a honeycomb sandwich antenna panel under changing and non-uniform temperature environment. The size of the inverse finite element is optimized by the displacement gradient, which reduces the total number of elements and improves the efficiency of the shape reconstruction algorithm. The proposed method is validated with a honeycomb sandwich antenna panel numerically and experimentally.

Keywords
Large Scale Space Antenna, Thermal Deformation, Shape Reconstruction, Inverse Finite Element, Element Optimization

Published online 3/30/2023, 8 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Tianxiang Huang, Tianyu Dong, Shenfang Yuan, Inverse finite element-based shape reconstruction method for large-scale space antenna, Materials Research Proceedings, Vol. 27, pp 207-214, 2023

DOI: https://doi.org/10.21741/9781644902455-26

The article was published as article 26 of the book Structural Health Monitoring

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] William A. Imbriale, et al., Space Antenna Handbook, Wiley, 2012.
[2] Guang-Yu Lu, Ji-Yang Zhou and Guo-Ping Cai, et al., Studies of thermal deformation and shape control of a space planar phased array antenna, Aerospace Science and Technology, 2019, 93, 105311.
[3] Jason P. Moore and Matthew D. Rogge, Shape sensing using multi-core fiber optic cable and parametric curve solutions, Optics express, 2012, 20, 2967–2973.
[4] William L. Ko, W. L. Richards and t. van Tran, Displacement theories for in-flight deformed shape predictions of aerospace structures, NASA Technical Reports 214612, Hampton, Virginia, 2007.
[5] G. C. Foss and E. D. Haugse, Using modal test results to develop strain to displacement transformations, Proceedings of the 13th International Modal Analysis Conference, 1995, 2460, 112.
[6] Zhang H, Zhu X, Gao Z, et al. Fiber Bragg grating plate structure shape reconstruction algorithm based on orthogonal curve net. Journal of Intelligent Material Systems and Structures, 2016, 27(17): 2416-2425.
[7] Alexander Tessler and Jan L. Spangler, A least-squares variational method for full-field reconstruction of elastic deformations in shear-deformable plates and shells, Computer methods in applied mechanics and engineering, 2005, 194, 327–339.
[8] Kefal, I. E. Tabrizi, M. Tansan, E. Kisa and M. Yildiz, An experimental implementation of inverse finite element method for real-time shape and strain sensing of composite and sandwich structures, Composite Structures, 2021, 258, 113431.