The inverse kinematics of a 7R 6-degree-of-freedom robot with non-spherical wrist

The 7R 6-degree-of-freedom robots with hollow non-spherical wrist have been proven more suitable to spray painting. However, the inverse kinematics of this robot is still imperfect due to the coupling between position and orientation of the end-effector. In this article, a reliable numerical iterati...

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Main Authors: Xuhao Wang, Dawei Zhang, Chen Zhao
Format: Article
Language:English
Published: SAGE Publishing 2017-08-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814017714985
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author Xuhao Wang
Dawei Zhang
Chen Zhao
author_facet Xuhao Wang
Dawei Zhang
Chen Zhao
author_sort Xuhao Wang
collection DOAJ
description The 7R 6-degree-of-freedom robots with hollow non-spherical wrist have been proven more suitable to spray painting. However, the inverse kinematics of this robot is still imperfect due to the coupling between position and orientation of the end-effector. In this article, a reliable numerical iterative algorithm for the inverse kinematics of a 7R 6-degree-of-freedom robot is proposed. Based on the geometry of the robot, the inverse kinematics is converted into a one-dimensional iterative research problem. Since the Jacobian matrix is not utilized, the proposed algorithm possesses good convergence, even for singular configurations. Moreover, the multiple-solution problem in the inverse kinematics is also discussed. By introducing three robot configuration indicators which are prespecified by a user, the correct solution could be chosen from all the possible solutions. In order to verify the accuracy and efficiency of the proposed algorithm, several simulations are implemented on a practical 7R 6-degree-of-freedom painting robot. The result shows that the proposed algorithm is more advantageous for a continuous trajectory.
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spelling doaj.art-0faf23141e084304b37cf09b3e78e0272022-12-22T00:10:23ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402017-08-01910.1177/1687814017714985The inverse kinematics of a 7R 6-degree-of-freedom robot with non-spherical wristXuhao WangDawei ZhangChen ZhaoThe 7R 6-degree-of-freedom robots with hollow non-spherical wrist have been proven more suitable to spray painting. However, the inverse kinematics of this robot is still imperfect due to the coupling between position and orientation of the end-effector. In this article, a reliable numerical iterative algorithm for the inverse kinematics of a 7R 6-degree-of-freedom robot is proposed. Based on the geometry of the robot, the inverse kinematics is converted into a one-dimensional iterative research problem. Since the Jacobian matrix is not utilized, the proposed algorithm possesses good convergence, even for singular configurations. Moreover, the multiple-solution problem in the inverse kinematics is also discussed. By introducing three robot configuration indicators which are prespecified by a user, the correct solution could be chosen from all the possible solutions. In order to verify the accuracy and efficiency of the proposed algorithm, several simulations are implemented on a practical 7R 6-degree-of-freedom painting robot. The result shows that the proposed algorithm is more advantageous for a continuous trajectory.https://doi.org/10.1177/1687814017714985
spellingShingle Xuhao Wang
Dawei Zhang
Chen Zhao
The inverse kinematics of a 7R 6-degree-of-freedom robot with non-spherical wrist
Advances in Mechanical Engineering
title The inverse kinematics of a 7R 6-degree-of-freedom robot with non-spherical wrist
title_full The inverse kinematics of a 7R 6-degree-of-freedom robot with non-spherical wrist
title_fullStr The inverse kinematics of a 7R 6-degree-of-freedom robot with non-spherical wrist
title_full_unstemmed The inverse kinematics of a 7R 6-degree-of-freedom robot with non-spherical wrist
title_short The inverse kinematics of a 7R 6-degree-of-freedom robot with non-spherical wrist
title_sort inverse kinematics of a 7r 6 degree of freedom robot with non spherical wrist
url https://doi.org/10.1177/1687814017714985
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