4-RPR平面并联机器人的正运动学及奇异性能
CSTR:
作者:
作者单位:

1.南京林业大学机械电子工程学院,南京 210037;2.重庆大学高端装备机械传动全国重点实验室,重庆 400044;3.常州大学机械与轨道交通学院,常州 213164

作者简介:

通讯作者:

尤晶晶,男,副教授,硕士生导师,E-mail:youjingjing251010@njfu.edu.cn。

中图分类号:

TH112

基金项目:

国家自然科学基金(51405237);江苏省大学生创新创业项目(202410298023Z);高端装备机械传动全国重点实验室开放基金(SKLMT-MSKFKT-202330)。


Forward Kinematics and Singularity of 4-RPR Planar Parallel Robots
Author:
Affiliation:

1.College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China;2.State Key Laboratory of Mechanical Transmission for Advanced Equipment, Chongqing University, Chongqing 400044, China;3.School of Mechanical and Rail Transit, Changzhou University, Changzhou 213164, China

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    冗余驱动能够帮助机器人越过奇异位形,但它能否提高机构的运动/力传递性能,尚无定论。鉴于此,首先,设计了一种冗余驱动4-转动副移动副转动副(Revolute-joint,prismatic-joint,revolute-joint,PRR)平面并联机器人,建立并解析求解了其正运动学方程。其次,根据尺度约束关系,推导并解析求解了杆长协调方程。根据位移求导法,推导了雅可比矩阵并分析了奇异位形。接着,借助于广义逆、分块矩阵等数学工具,求解了机器人的局部条件数指标(Local conditioning index,LCI)。最后,对比分析了4-RPR并联机器人与4种3-RPR并联机器人的正解特性、奇异位形和运动/力传递性能。结果显示,所设计的新型机器人的正运动学方程解的个数减少了一半,奇异位形更少,优质工作空间占比提升了1.15%~16.67%。这表明,4-RPR平面并联机器人更易于运动控制,且具有更优越的奇异性能,适合应用于3D打印、码垛等对灵活性要求较高的场景。

    Abstract:

    Redundant actuation can help robots overcome singular configurations, while there is no consensus on whether it can improve the motion/force transmission performance of the mechanism. In this regard, firstly, a redundant actuated 4-revolute-joint,prismatic-joint,revolute-joint(4-PRR) planar parallel robot is designed, and its forward kinematics equation is established and analytically solved. Secondly, based on the scale constraint relationship, the rod length coordination equation is derived and analytically solved. Then, based on the displacement derivative method, the Jacobian matrix is derived and the singular configuration is analyzed. Thirdly, the local conditioning index (LCI) of the robot is solved by using mathematical tools such as the generalized inverse and the block matrix. Finally, the positive solution characteristics, singular configurations, and motion/force transmission performance of the 4-RPR parallel robot are compared with four types of 3-RPR parallel robots. Results show that the number of solutions to the forward kinematics equations of the newly designed robot is reduced by half, with fewer singular configurations and the proportion of high-quality workspace increased by 1.15% to 16.67%. This indicates that the 4-RPR planar parallel robot is easier to control in motion and has superior singularity performance, making it suitable for applications, such as 3D printing and palletizing, that require high flexibility.

    参考文献
    相似文献
    引证文献
引用本文

李新宇,尤晶晶,华洁,张毅,叶鹏达.4-RPR平面并联机器人的正运动学及奇异性能[J].南京航空航天大学学报,2025,57(3):459-466

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2025-03-14
  • 最后修改日期:2025-04-19
  • 录用日期:
  • 在线发布日期: 2025-06-20
  • 出版日期:
文章二维码
您是第位访问者
网站版权 © 南京航空航天大学学报
技术支持:北京勤云科技发展有限公司