| Research Article |
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Dynamic modeling of a cable-driven parallel robot with a Stewart platform for use in FAST |
| YIN Jianing1,2, JIANG Peng1, CHEN Ming3, YAO Rui1 |
1. Key Laboratory of FAST, National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100101, China;
2. School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 100049, China;
3. Unit 32011, Chinese People's Liberation Army, Beijing 100094, China |
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Abstract Five-hundred-meter aperture spherical radio telescope (FAST) uses a cable-driven parallel robot with a Stewart platform for precision positioning at the millimeter level. This paper presents a dynamic modeling method for this type of rigid-flexible mechanism which accurately models the cable and the Stewart platform and eliminates system vibrations by iterating the Newton-Euler equations of the intermediate structure between the two models. The nature of the coupled system vibrations is also analyzed to explain the impact of the Stewart platform's error compensation on the system motion with the error composition modeled numerically. This research will improve the FAST observation accuracy and provides a theoretical basis for control algorithms for this type of rigid-flexible mechanisms.
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| Keywords
cable-driven parallel robot
Stewart platform
FAST
system control
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Issue Date: 19 October 2022
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[1] NAN R D. Five-hundred-meter aperture spherical radio telescope (FAST)[J]. Science in China Series G:Physics, Mechanics & Astronomy, 2006, 49(2):129-148.
[2] JIANG P, YUE Y L, GAN H Q, et al. Commissioning progress of the FAST[J]. Science China Physics, Mechanics & Astronomy, 2019, 62(5):959502.
[3] JIANG P, TANG N Y, HOU L G, et al. The fundamental performance of FAST with 19-beam receiver at L band[J]. Research in Astronomy and Astrophysics, 2020, 20(5):64.
[4] QIAN L, YAO R, SUN J H, et al. FAST:Its scientific achievements and prospects[J]. The Innovation, 2020, 1(3):100053.
[5] QIU Y Y, DUAN B Y, WEI Q, et al. Elimination of force singularity of the cable and cabin structure for the next generation large radio telescope[J]. Mechatronics, 2002, 12(7):905-918.
[6] LU Y J, ZHU W B, REN G X. Feedback control of a cable-driven Gough-Stewart platform[J]. IEEE Transactions on Robotics, 2006, 22(1):198-202.
[7] REN G X, ZHU W B, ZHANG H, et al. Test study of the feed-support system for a large radio telescope[C]//IUTAM Symposium on Mechanics and Reliability of Actuating Materials. Beijing, China:Springer, 2006:261-270.
[8] SUN J H, NAN R D, ZHU W B, et al. Simulation model of FAST focus cabin for pointing accuracy analysis[C]//Proceedings Volume 7017, Modeling, Systems Engineering, and Project Management for Astronomy III. Marseille, France:SPIE, 2008:70171L.
[9] DUAN X C, MI J W, ZHAO Z. Vibration isolation and trajectory following control of a cable suspended Stewart platform[J]. Machines, 2016, 4(4):20.
[10] 汤奥斐, 李言, 仇原鹰, 等. 大跨度柔索驱动并联机构逆动力学研究[J]. 机械科学与技术, 2010, 29(4):435-440. TANG A F, LI Y, QIU Y Y, et al. Inverse dynamics of a long-span wire driven parallel robot[J]. Mechanical Science and Technology for Aerospace Engineering, 2010, 29(4):435-440. (in Chinese)
[11] SHAO Z F, TANG X Q, WANG L P, et al. Dynamic modeling and wind vibration control of the feed support system in FAST[J]. Nonlinear Dynamics, 2012, 67(2):965-985.
[12] IRVINE H M. Cable structures[M]. Cambridge:MIT Press, 1981.
[13] DASGUPTA B, MRUTHYUNJAYA T S. A Newton-Euler formulation for the inverse dynamics of the Stewart platform manipulator[J]. Mechanism and Machine Theory, 1998, 33(8):1135-1152.
[14] 何兆麒, 薛冬新, 张娟, 等. 一种改进的Stewart平台Newton-Euler动力学模型[J]. 振动与冲击, 2018, 37(9):221-229. HE Z Q, XUE D X, ZHANG J, et al. Improved Newton-Euler dynamic models for a Stewart platform[J]. Journal of Vibration and Shock, 2018, 37(9):221-229. (in Chinese) |
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2022,
Vol. 62
