• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2016, Vol. 52 ›› Issue (19): 9-17.doi: 10.3901/JME.2016.19.009

• 机械学及机器人学 • 上一篇    下一篇

扫码分享

三自由度Delta并联机械手轨迹规划方法*

梅江平1, 臧家炜1, 乔正宇1, 刘松涛2, 宋涛2   

  1. 1. 天津大学机械工程学院 天津 300072;
    2. 辰星(天津)自动化设备有限公司技术部 天津 301701
  • 出版日期:2016-10-05 发布日期:2016-10-05
  • 作者简介:作者简介:梅江平,男,1969年出生,博士,副教授,博士研究生导师。主要研究方向为机器人控制及自动化生产线。E-mail:ppm@tju.edu.cnE-mail:jjangzjw@126.comE-mail:qzy_0107@126.com刘松涛(通信作者),男,1987年出生,硕士。主要研究方向为机器人机构设计。E-mail:st2060@126.comE-mail:songtao_cxauto@126.com
  • 基金资助:
    * 国家自然科学基金(51475320)和天津市科技型中小企业技术创新项目(14C26211200362)资助项目; 20151101收到初稿,20160527收到修改稿;

Trajectory Planning of 3-DOF Delta Parallel Manipulator

MEI Jiangping1, ZANG Jiawei1, QIAO Zhengyu1, LIU Songtao2, SONG Tao2   

  1. 1. School of Mechanical Engineering, Tianjin University, Tianjin 300072
    , 2. Technical Department, Chenxing (Tianjin) Automation Equipment Co., Ltd, Tianjin 301701);
  • Online:2016-10-05 Published:2016-10-05

摘要:

以三自由度Delta并联机械手为研究对象,针对其高速搬运作业下的操作空间和关节空间的轨迹规划策略进行研究。结合实际作业需求,对机械手末端运动轨迹的关键路径点进行设置,建立点到点的搬运作业轨迹。以机械手运动学逆解模型为基础,在操作空间利用3-4-5次多项式运动规律建立操作空间运动特征到关节空间运动特征的映射关系。以机械手运动学正解模型为基础,在关节空间利用五次非均匀有理B样条(NURBS)运动规律建立关节空间运动特征到操作空间运动特征的映射关系。在运动轨迹关键点位置及运动时间相同的条件下,对两种轨迹规划方法进行计算机仿真,对比分析机械手关节角度、角速度和角加速度等运动特征,并通过物理样机试验进行验证。结果表明关节空间内基于五次非均匀有理B样条运动规律的轨迹规划方法在减小运动过程中机械手振动和降低电动机功耗等方面优势明显。

关键词: 非均匀有理B样条, 轨迹规划, 振动, 并联机器人

Abstract:

:Taking 3-DOF Delta parallel manipulator as the research object, different trajectory planning methods in operating and joint space under high-speed operations are researched. Combined with practical requirements, the motion trajectory of point to point is defined through a set of critical path points. In the operating space, based on the inverse kinematics model, the mapping relation of motion characteristics from operating space to joint space is established according to the 3-4-5 polynomial motion law. In the joint space, based on the forward kinematics model, the mapping relation of motion characteristics from joint space to operating space is established according to the quintic non-uniform rational B-spline (NURBS) motion law. Under same critical path points and time, simulations and analyses of movement characteristics (the position, velocity and acceleration of joint) on the two trajectory planning methods are proposed, and the comparison experiment is carried out. The results show that the trajectory planning method of quintic NURBS motion law in joint space has an obvious superiority in reduction of the vibration of the manipulator in movement and the motor power consumption.

Key words: non-uniform rational B-spline, trajectory planning, vibration, parallel robot