
Design method and driving optimization of origami-inspired single-layer truss structures for parabolic cylindrical mesh reflector antennas
Zijie ZENG, Tuanjie LI, Hangjia DONG, Li YANG, Tianming LIU, Xiaofeng CHEN
Front. Mech. Eng. ›› 2025, Vol. 20 ›› Issue (2) : 12.
Design method and driving optimization of origami-inspired single-layer truss structures for parabolic cylindrical mesh reflector antennas
Deployable parabolic cylindrical antennas with lightweight and high deploy/fold ratio are a research hotspot in aerospace. Most of the deployable structures of parabolic cylindrical antennas are double-layer truss structures, which are heavy and oversized in folded volume. The 2D origami-inspired structure is a typical single-layer deployable structure, including multiple origami configurations that provide various strategies for designing single-layer deployable structures. This study proposes a design method for origami-inspired single-layer truss structures applied to deployable parabolic cylindrical mesh reflector antennas. Unlike the widely researched thick-panel origami structure, we adopt the strategy of equating the creases in the origami model as links with constant length, and the vertices are regarded as hinges. The design criteria for an origami-inspired single-layer truss structure are researched and summarized by analyzing the engineering issues during design. Based on this design method, a single-layer deployable truss applied to a parabolic cylindrical antenna is presented. An optimization model of the antenna driving components is established to ensure that the antenna can deploy appropriately on the basis of the co-simulation of MATLAB and finite element software Abaqus. The optimization results are validated through software simulation and prototype test. The work presented in this paper can broaden the application of origami-inspired structures and provide a reference for the design of parabolic cylindrical antennas or curved surface mechanisms.
origami-inspired structure / single-layer truss / structural design criteria / driving components
[1] |
Rahmat-Samii Y, Wang J, Zamora J, Freebury G, Hodges R E, Horst S J A. 7 m × 1.5 m aperture parabolic cylinder deployable mesh reflector antenna for next-generation satellite synthetic aperture radar. IEEE Transactions on Antennas and Propagation, 2023, 71(8): 6378–6389
CrossRef
Google scholar
|
[2] |
SanadM, Hassan N. A sub-6 GHz multi-beam base station antenna for 5G with an arbitrary beam-tilting for each beam. In: 2019 IEEE Radio and Wireless Symposium (RWS). Orlando: IEEE, 2019, 1–4
|
[3] |
Mishra G, Sharma S K, Chieh J C S, Olsen R B. Ku-band dual linear-polarized 1-D beam steering antenna using parabolic-cylindrical reflector fed by a phased array antenna. IEEE Open Journal of Antennas and Propagation, 2020, 1: 57–70
CrossRef
Google scholar
|
[4] |
Lian P Y, Yan Y F, Wang C S, Qin L, Xue S, Wang N, Xu Q, Zhao W L, Zheng Y P. Hybrid-panel-based new design idea for large reflector antenna. Science China Technological Sciences, 2023, 66(1): 115–126
CrossRef
Google scholar
|
[5] |
Guo J, Zhao Y, Xu Y, Li Y, Yao J. Design and analysis of truss deployable antenna mechanism based on a novel symmetric hexagonal profile division method. Chinese Journal of Aeronautics, 2021, 34(8): 87–100
CrossRef
Google scholar
|
[6] |
Zhao P, Liu J, Wu C, Li Y, Chen K. Novel surface design of deployable reflector antenna based on polar scissor structures. Chinese Journal of Mechanical Engineering, 2020, 33(1): 68
CrossRef
Google scholar
|
[7] |
Santiago-Prowald J, Baier H. Advances in deployable structures and surfaces for large apertures in space. CEAS Space Journal, 2013, 5(3–4): 89–115
CrossRef
Google scholar
|
[8] |
Meguro A, Shintate K, Usui M, Tsujihata A. In-orbit deployment characteristics of large deployable antenna reflector onboard Engineering Test Satellite VIII. Acta Astronautica, 2009, 65(9–10): 1306–1316
CrossRef
Google scholar
|
[9] |
Chen Z, Shi C, Guo H, Liu R, Deng Z. Design and accuracy analysis of a new high-rigidity modular planar deployable antenna mechanism. Engineering Structures, 2022, 253: 113770
CrossRef
Google scholar
|
[10] |
Nie R, He B, Yan S, Ma X. Design optimization of mesh antennas for on-orbit thermal effects. International Journal of Mechanical Sciences, 2020, 175: 105547
CrossRef
Google scholar
|
[11] |
Dai L, Xiao R. Optimal design and analysis of deployable antenna truss structure based on dynamic characteristics restraints. Aerospace Science and Technology, 2020, 106: 106086
CrossRef
Google scholar
|
[12] |
Song X, Deng Z, Guo H, Liu R, Li L, Liu R. Networking of Bennett linkages and its application on deployable parabolic cylindrical antenna. Mechanism and Machine Theory, 2017, 109: 95–125
CrossRef
Google scholar
|
[13] |
Ma X, Li Y, Li T, Dong H, Wang D, Zhu J. Design and analysis of a novel deployable hexagonal prism module for parabolic cylinder antenna. Mechanical Sciences, 2021, 12(1): 9–18
CrossRef
Google scholar
|
[14] |
Zhang Y, Li M, Chen Y, Peng R, Zhang X. Thick-panel origami-based parabolic cylindrical antenna. Mechanism and Machine Theory, 2023, 182: 105233
CrossRef
Google scholar
|
[15] |
Wang C, Guo H, Liu R, Deng Z. A programmable origami-inspired space deployable structure with curved surfaces. Engineering Structures, 2022, 256: 113934
CrossRef
Google scholar
|
[16] |
Zhang S, Duan B, Zhang S, Wang N. Structural design and model fabrication of cable-rib tensioned deployable parabolic cylindrical antenna. Chinese Journal of Aeronautics, 2023, 36(8): 229–246
CrossRef
Google scholar
|
[17] |
Xiao H, Lyu S, Ding X. Optimizing accuracy of a parabolic cylindrical deployable antenna mechanism based on stiffness analysis. Chinese Journal of Aeronautics, 2020, 33(5): 1562–1572
CrossRef
Google scholar
|
[18] |
Zhu J, Shi C, Fan X, Guo H, Liu R, Deng Z. Optimisation design of a large space cable-pole tensioned parabolic cylindrical antenna mechanism. Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 2024, 238(9): 3689–3709
CrossRef
Google scholar
|
[19] |
Huang L, Zeng P, Yin L, Huang J. Design of an origami-based cylindrical deployable mechanism. Mechanical Sciences, 2022, 13(2): 659–673
CrossRef
Google scholar
|
[20] |
Wang C, Li J, Zhang D. Optimization design method for kirigami-inspired space deployable structures with cylindrical surfaces. Applied Mathematical Modelling, 2021, 89: 1575–1598
CrossRef
Google scholar
|
[21] |
Guo J, Zhao Y, Zhang G, Liu E, Liu B, Xu Y. Configuration synthesis and unfolding stiffness characteristics analysis of a truss antenna connecting mechanism based on URU-RR-URU hexagonal deployable unit. Mechanism and Machine Theory, 2022, 177: 105047
CrossRef
Google scholar
|
[22] |
Zhang W, Lu S, Ding X. Recent development on innovation design of reconfigurable mechanisms in China. Frontiers of Mechanical Engineering, 2019, 14(1): 15–20
CrossRef
Google scholar
|
[23] |
Han B, Yuan Z, Hu X, Xu Y, Yao J, Zhao Y. Design and analysis of a hoop truss deployable antenna mechanism based on convex pentagon polyhedron unit. Mechanism and Machine Theory, 2023, 186: 105365
CrossRef
Google scholar
|
[24] |
Han B, Yuan Z, Zhang J, Xu Y, Yao J, Zhao Y. Design and analysis of modular deployable antenna mechanism based on a class of self-limiting position units. Mechanism and Machine Theory, 2024, 191: 105509
CrossRef
Google scholar
|
[25] |
Mohammadsalehi A, Mostofinejad D. Behavior of high-performance concrete canvas Miura-origami structures under flexural loading. Structures, 2023, 54: 928–945
CrossRef
Google scholar
|
[26] |
Liu Y, Shi W, Chen P, Yu Y, Zhang D, Wang D. Design and experiment of a novel pneumatic soft arm based on a deployable origami exoskeleton. Frontiers of Mechanical Engineering, 2023, 18(4): 54
CrossRef
Google scholar
|
[27] |
KasemA, Ghourabi F, IdaT. Origami axioms and circle extension. In: Proceedings of the 2011 ACM symposium on applied computing. New York: Association for Computing Machinery, 2011, 1106–1111
|
[28] |
Tang J M, Tian M Q, Wang C J, Wang X S, Mao H L. A novel scheme of folding discretized surfaces of revolution inspired by waterbomb origami. Mechanism and Machine Theory, 2021, 165: 104431
CrossRef
Google scholar
|
[29] |
Srinivas V, Harne R L. Directing acoustic energy by flasher-based origami inspired arrays. Journal of the Acoustical Society of America, 2020, 148(5): 2935–2944
CrossRef
Google scholar
|
[30] |
YaoS, LiuX, GeorgakopoulosS V. A mode reconfigurable Nojima origami antenna. In: 2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. Vancouver: IEEE, 2015: 2237–2238
|
[31] |
Chen Y, Peng R, You Z. Origami of thick panels. Science, 2015, 349(6246): 396–400
CrossRef
Google scholar
|
[32] |
TachiT. Geometric considerations for the design of rigid origami structures. In: Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium. IASS, 2010, 458–460
|
[33] |
Zhang Z, Li J, Wang C, Guang C, Ni Y, Zhang D. Design and optimization of kirigami-inspired rotational parabolic deployable structures. International Journal of Mechanical Sciences, 2024, 263: 108788
CrossRef
Google scholar
|
[34] |
Lv Y, Zhang Y, Gong N, Li Z, Lu G, Xiang X. On the out-of-plane compression of a Miura-ori patterned sheet. International Journal of Mechanical Sciences, 2019, 161–162: 105022
CrossRef
Google scholar
|
[35] |
Cai J, Deng X, Zhou Y, Feng J, Tu Y. Bistable behavior of the cylindrical origami structure with Kresling pattern. Journal of Mechanical Design, 2015, 137(6): 061406
CrossRef
Google scholar
|
[36] |
Du Y, Keller T, Song C, Xiao Z, Wu L, Xiong J. Design and foldability of Miura-based cylindrical origami structures. Thin-walled Structures, 2021, 159: 107311
CrossRef
Google scholar
|
[37] |
Melancon D, Gorissen B, García-Mora C J, Hoberman C, Bertoldi K. Multistable inflatable origami structures at the metre scale. Nature, 2021, 592(7855): 545–550
CrossRef
Google scholar
|
[38] |
Ma J, Song J, Chen Y. An origami-inspired structure with graded stiffness. International Journal of Mechanical Sciences, 2018, 136: 134–142
CrossRef
Google scholar
|
[39] |
Peng R, Chirikjian G S. A methodology for thick-panel origami pattern design. Mechanism and Machine Theory, 2023, 189: 105423
CrossRef
Google scholar
|
[40] |
Wang C, Zhang D, Li J, Li Y, Zhang X. Deployment dynamics of thick panel Miura-origami. Aerospace Science and Technology, 2024, 144: 108795
CrossRef
Google scholar
|
[41] |
Meng Q, Xie F, Tang R, Liu X J. Novel closed-loop deployable mechanisms and integrated support trusses for planar antennas of synthetic aperture radar. Aerospace Science and Technology, 2022, 129: 107819
CrossRef
Google scholar
|
[42] |
Shafei A M, Sadeghi Z. The kinematics and kinetics of multi-closed-chain mechanisms in the impact and non-impact stages. Meccanica, 2022, 57(10): 2591–2608
CrossRef
Google scholar
|
[43] |
Zhang J, He B, Nie R, Wang G, Zhang L, Ma X. Optimal self-stress determination for high-accuracy mesh reflectors design considering the pillow distortion. Structures, 2024, 59: 105736
CrossRef
Google scholar
|
[44] |
HuangZ, Li Q, DingH. Theory of Parallel Mechanisms. Dordrecht: Springer Science & Business Media, 2012, 49–57
|
[45] |
LiuR, TianD, DengZ. Research actuality and prospect of structure for space deployable antenna. Journal of Machine Design, 2010, 27(9): 1–10 (in Chinese)
|
[46] |
Nabagło T, Jurkiewicz A, Kowal J. Modeling verification of an advanced torsional spring for tracked vehicle suspension in 2S1 vehicle model. Engineering Structures, 2021, 229: 111623
CrossRef
Google scholar
|
[47] |
Chen J S, Chen I S. Deformation and vibration of a spiral spring. International Journal of Solids and Structures, 2015, 64–65: 166–175
CrossRef
Google scholar
|
[48] |
Xu T, Zhang S, Liu J, Wang X. Design method of concrete filled thin-walled steel tube column-foundation connections. Engineering Structures, 2021, 246: 113033
CrossRef
Google scholar
|
[49] |
Su L, Zhang Y, Sun B. Multi-objective optimization of deployable composite cylindrical thin-walled hinges with progressive damage. Structural and Multidisciplinary Optimization, 2020, 61(2): 803–817
CrossRef
Google scholar
|
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〈 |
|
〉 |