This paper presents a new method for error modeling and studies the kinematic calibration of redundantly actuated parallel kinematic machines (RA-PKM). First, a n-DOF RA-PKM is split into several n-DOF non-redundantly actuated sub-mechanisms by removing actuators in limbs in an ergodic manner without changing the DOF. The error model of the sub-mechanisms is established by differentiating the forward kinematics. Then, the complete error model of the RA-PKM is obtained by a weighted summation of errors for all sub-mechanisms. Finally, a kinematic calibration experiments are performed on a 3-DOF RA-PKM to verify the method of error modeling. The positioning and orientation error of the moving platform is replaced by the positioning error of the tool center point, which was reduced considerably from 3.427 mm to 0.177 mm through kinematic calibration. The experimental results demonstrate the improvement of the kinematic accuracy after kinematic calibration using the proposed error modeling method.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
The full text of this article is available to read as a PDF.
Loading...
Posted 02 Sep, 2020
On 13 Mar, 2021
Received 31 Oct, 2020
On 09 Oct, 2020
Received 29 Sep, 2020
Invitations sent on 16 Sep, 2020
On 16 Sep, 2020
On 31 Aug, 2020
On 30 Aug, 2020
On 30 Aug, 2020
On 29 Aug, 2020
Posted 02 Sep, 2020
On 13 Mar, 2021
Received 31 Oct, 2020
On 09 Oct, 2020
Received 29 Sep, 2020
Invitations sent on 16 Sep, 2020
On 16 Sep, 2020
On 31 Aug, 2020
On 30 Aug, 2020
On 30 Aug, 2020
On 29 Aug, 2020
This paper presents a new method for error modeling and studies the kinematic calibration of redundantly actuated parallel kinematic machines (RA-PKM). First, a n-DOF RA-PKM is split into several n-DOF non-redundantly actuated sub-mechanisms by removing actuators in limbs in an ergodic manner without changing the DOF. The error model of the sub-mechanisms is established by differentiating the forward kinematics. Then, the complete error model of the RA-PKM is obtained by a weighted summation of errors for all sub-mechanisms. Finally, a kinematic calibration experiments are performed on a 3-DOF RA-PKM to verify the method of error modeling. The positioning and orientation error of the moving platform is replaced by the positioning error of the tool center point, which was reduced considerably from 3.427 mm to 0.177 mm through kinematic calibration. The experimental results demonstrate the improvement of the kinematic accuracy after kinematic calibration using the proposed error modeling method.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
The full text of this article is available to read as a PDF.
Loading...