摘要
500m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。
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.
作者
殷家宁
姜鹏
陈明
姚蕊
YIN Jianing;JIANG Peng;CHEN Ming;YAO Rui(Key Laboratory of FAST,National Astronomical Observatories,Chinese Academy of Sciences,Beijing 100101,China;School of Astronomy and Space Science,University of Chinese Academy of Sciences,Beijing 100049,China;Unit 32011,Chinese People's Liberation Army,Beijing 100094,China)
出处
《清华大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2022年第11期1764-1771,共8页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金资助项目(11973062)
中国科学院青年创新促进会项目
科技部重点研发项目(2018YFE0202900)。