基于指数积的Delta机器人运动学正解建模

Direct Kinematic Analysis of Delta Robot Based on Exponential Product

  • 摘要: 对于并联机构的运动学分析,D-H参数法需要对每个连杆建立局部坐标系,通过各连杆的坐标转换来建立运动学方程,过程较为繁琐,而矢量法虽然能够避免正解多解的取舍问题,但是不能完整地表达出末端的姿态,缺乏通用性. 作者采用基于旋量理论的指数积,只需建立惯性坐标系S和工具坐标系T两个坐标系,使得运动学模型更为简单,且具有更明确的物理和几何意义. 最后应用该方法求解了典型Delta机器人的运动学正解和工作空间,并进行了机器人样机的运动控制实验.

     

    Abstract: For kinematics analysis of parallel mechanism, there exist two kinds of methods: D-H parameters method and vector method. The former has the shortcoming that each link's local coordinate system should be established and kinematic equation be obtained according to the transformation between link coordinates, which makes the process to be relatively complicated. The latter can solve the problem of multiple solutions in the positive kinematics, but it cannot represent the end attitude of the actuator, which is lack of generality. This paper presents an exponential product (POE) method based on screw theory. The method makes kinematics model simple by establishing inertial coordination system S and tool coordination system T. It has a clear physical and geometric meaning. Then the positive kinematics and working space of typical Delta parallel robot could be solved based on POE method.

     

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