Analysis and Parameter Optimization of Parallel-driven Antenna Pedestals Based on Kinematic Mapping Models

doi:10.3901/JME.260236

Abstract

Abstract: The kinematic characteristics of parallel-driven antenna pedestals are complex, and their constraint conditions are highly coupled, presenting significant challenges in modeling and parameter optimization. This research fully exploits the high consistency between the pitch motion characteristics of the antenna pedestals and the crank-slider mechanism, establishing a kinematic mapping model between the antenna pedestals and the crank-slider mechanism. This approach transforms the study of the antenna pedestals into the study of the crank-slider mechanism. By conducting multiple solution recognition and singular analysis on the crank-slider mechanism, feasible forward and inverse solutions and singular positions of the antenna pedestals are identified. Combined with the kinematic mapping model, the impact of singular configurations outside the workspace on the structural stiffness of the antenna pedestals is explored. Furthermore, a systematic backtracking algorithm suitable for such mechanisms is designed to optimize structural parameters, significantly reducing the weight of the antenna pedestal structure and improving the utilization rate of circular orbits.

Key words: parallel antenna pedestals, crank-slider mechanism, kinematic mapping model, forward/inverse kinematics, singular configuration

CLC Number:

TH112

MENG Xiangfei, TAN Guodong, DUAN Xuechao, XIAO Jiaxuan, YAO Bin. Analysis and Parameter Optimization of Parallel-driven Antenna Pedestals Based on Kinematic Mapping Models[J]. Journal of Mechanical Engineering, 2026, 62(5): 182-191.

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URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260236

http://www.cjmenet.com.cn/EN/Y2026/V62/I5/182

References

[1] WANG N，XU Q，MA J，et al. The Qitai radio telescope[J]. Science China Physics，Mechanics & Astronomy，2023，66(8):289512.
[2] ZHANG B，SHANG W，GAO X，et al. Synthetic design and analysis of the new feed cabin mechanism in the five-hundred-meter aperture spherical radio telescope (FAST)[J]. Mechanism and Machine Theory，2024，191:105507.
[3] MANGLA S，DATTA A. Spectral analysis of ionospheric density variations measured with the large radio telescope in the low-latitude region[J]. Geophysical Research Letters，2023，50(14):e2023GL103305.
[4] WAN Y，LIAO S，CHE W，et al. Heterogeneous beam elements based phased array antenna technology:Theory，analysis，and experiment[J]. IEEE Transactions on Antennas and Propagation，2024，72(6):5033-5046.
[5] HUANG J，YIN J，AN M，et al. Azimuth pointing calibration for rotating phased array radar based on ground clutter correlation[J]. IEEE Transactions on Geoscience and Remote Sensing，2024，63:1000315
[6] LIU Z，DING Y，QUAN C，et al. Optimization of a novel，bidirectional，double-ring，deployable mesh antenna with a super-large aperture[J]. Acta Astronautica，2024，214:202-215.
[7] 冯树飞，段学超，段宝岩. 一种大型全可动反射面天线的轻量化创新设计[J]. 中国科学:物理学力学天文学，2017，47(5):78-90. FENG Shufei，DUAN Xuechao，DUAN Baoyan. An innovative lightweight design of a large fully steerable reflector antenna[J]. Scientia Sinica:Physics，Mechanics & Astronomy，2017，47(5):78-90
[8] TAN G，MENG X，DUAN X，et al. Cable-driven deployment mechanism design and electromechanical coupling modeling for rigid-reflector deployable antenna[J]. Mechanism and Machine Theory，2025，209:106006.
[9] WU J，YE H，TIAN Y. Kinematic calibration of a novel two-axis solar tracker[J]. IEEE Transactions on Automation Science and Engineering，2025，22:9718-9728
[10] DUNLOP G，ELLIS P，AFZULPURKAR N. The satellite tracking keyhole problem:A parallel mechanism mount solution[J]. Transactions of the Institution of Professional Engineers New Zealand:Electrical/Mechanical/Chemical Engineering Section，1993，20(1):1-7.
[11] KOCH P，KESTEVEN M，NISHIOKA H，et al. The AMiBA hexapod telescope mount[J]. The Astrophysical Journal，2009，694(2):1670-1684.
[12] ZHANG G，GUO J，HOU Y，et al. Analysis of the PU-2UPS antenna parallel mechanism[J]. Journal of Mechanical Science and Technology，2021，35:717-728.
[13] ZHANG G，ZHENG D，GUO J，et al. Dynamic modeling and mobility analysis of the 3-R (RRR) R+ R antenna mechanism[J]. Robotica，2021，39(8):1485-1503.
[14] WU G，DONG H，WANG D，et al. A 3-RRR spherical parallel manipulator reconfigured with four-bar linkages[C]//2018 International Conference on Reconfigurable Mechanisms and Robots (ReMAR). IEEE，2018:1-7.
[15] LARYUSHKIN P，ANTONOV A，FOMIN A，et al. Novel reconfigurable spherical parallel mechanisms with a circular rail[J]. Robotics，2022，11(2):30.
[16] KISELEV S，ANTONOV A，FOMIN A. Parallel robots with a circular guide:Systematic review of kinematic schemes and methods of synthesis and analysis[J]. Journal of Machinery Manufacture and Reliability，2022，51(1):20-29.
[17] FOMIN A，ANTONOV A，KISELEV S. A new class of foldable mechanisms with a circular rail—FoldRail mechanisms[J]. Mechanism and Machine Theory，2023，189:105425.
[18] ANTONOV A，FOMIN A，KISELEV S. Inverse and forward kinematic analysis of a 6-DOF foldable mechanism with a circular rail (FoldRail mechanism)[J]. Mechanism and Machine Theory，2025，206:105904.
[19] XU C，XUE C，DUAN X. A novel 2R parallel mechanism for alt-azimuth pedestal[C]//IOP Conference Series:Materials Science and Engineering. IOP Publishing，2018:012053.
[20] HE S，DUAN X，QU X，et al. Kinematic modeling and motion control of a parallel robotic antenna pedestal[J]. Robotica，2023，41(11):3275-3295.
[21] RUSSO M，ZHANG D，LIU X，et al. A review of parallel kinematic machine tools:Design，modeling，and applications[J]. International Journal of Machine Tools and Manufacture，2024，196:104118.
[22] LI C，WANG N，CHEN K，et al. Prescribed flexible orientation workspace and performance comparison of non-redundant 3-DOF planar parallel mechanisms[J]. Mechanism and Machine Theory，2022，168:104602.
[23] BRIOT S，MERLET J. Direct kinematic singularities and stability analysis of sagging cable-driven parallel robots[J]. IEEE Transactions on Robotics，2023，39(3):2240-2254.
[24] WANG Y，JUAN L，NING F，et al. Dynamic analysis of crank slider mechanism considering 3D translational joint clearance based on variable contact area[J]. Mechanics & Industry，2025，26:5.
[25] 刘辛军，谢福贵，汪劲松. 并联机器人机构学基础[M]. 北京:高等教育出版社，2018. LIU Xinjun，XIE Fugui，WANG Jinsong. Fundamentals of parallel robotic mechanisms[M]. Beijing:Higher Education Press，2018.