FAST索驱动并联机器人与Stewart平台结合的动力学建模方法

殷家宁; 姜鹏; 陈明; 姚蕊

doi:10.16511/j.cnki.qhdxxb.2021.26.039

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清华大学学报（自然科学版） ›› 2022, Vol. 62 ›› Issue (11) : 1764-1771. DOI: 10.16511/j.cnki.qhdxxb.2021.26.039

论文

FAST索驱动并联机器人与Stewart平台结合的动力学建模方法

殷家宁^1,2, 姜鹏¹, 陈明³, 姚蕊¹

作者信息 +

Dynamic modeling of a cable-driven parallel robot with a Stewart platform for use in FAST

YIN Jianing^1,2, JIANG Peng¹, CHEN Ming³, YAO Rui¹

Author information +

文章历史 +

摘要

500 m口径球面射电望远镜（FAST）采用索驱动并联机器人与Stewart平台组合实现馈源在百米工作空间内的毫米高定位精度。该文提出了该类刚柔结合机构的动力学建模方法，分别对绳索和Stewart平台进行精确建模，通过两级机构模型的联立对中间结构的Newton-Euler方程迭代来求解系统的振动，探讨系统耦合振动的本质，从原理上说明了Stewart平台补偿误差对系统造成的具体影响并以数值形式表达。研究结果为FAST提高观测精度提供了必要条件，也为这类刚柔结合机构的控制算法提供了重要理论基础。

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.

导出引用

殷家宁, 姜鹏, 陈明, 姚蕊. FAST索驱动并联机器人与Stewart平台结合的动力学建模方法[J]. 清华大学学报（自然科学版）. 2022, 62(11): 1764-1771 https://doi.org/10.16511/j.cnki.qhdxxb.2021.26.039

YIN Jianing, JIANG Peng, CHEN Ming, YAO Rui. Dynamic modeling of a cable-driven parallel robot with a Stewart platform for use in FAST[J]. Journal of Tsinghua University(Science and Technology). 2022, 62(11): 1764-1771 https://doi.org/10.16511/j.cnki.qhdxxb.2021.26.039

参考文献

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