Kinematic Reliability Analysis of a 7-DOF Redundant Robot

The kinematic reliability of robots, defined as the probability that the end-effector falls inside the specified safe boundary, is of great significance in predicting the accuracy achieved in reality. This work selects the 7 degrees-of-freedom (7-DOF) redundant robot as an example to conduct reliabi...

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Main Authors: Li Ding, Jiahui Gu, Ziyi Li, Shaopeng Kang, Rui Ma
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Robotics
Online Access:http://dx.doi.org/10.1155/2022/5917530
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author Li Ding
Jiahui Gu
Ziyi Li
Shaopeng Kang
Rui Ma
author_facet Li Ding
Jiahui Gu
Ziyi Li
Shaopeng Kang
Rui Ma
author_sort Li Ding
collection DOAJ
description The kinematic reliability of robots, defined as the probability that the end-effector falls inside the specified safe boundary, is of great significance in predicting the accuracy achieved in reality. This work selects the 7 degrees-of-freedom (7-DOF) redundant robot as an example to conduct reliability analysis by utilizing the envelope method against time-related issues in this work. Since variables in industrial robots are very small relative to their means, the motion error functions are commonly linearized by the first-order Taylor’s formula to simplify calculation, and the failure models in all directions and attitude angles are then established through the probability method over the entire input interval. As a result, the actual accuracy of the robot in each pose component will be displayed, instead of merely considering the position error like other scholars. The principle of the proposed method is to transform a time-dependent problem into a time-independent one with the help of the failure extreme points and endpoints, so as to enhance the operation efficiency under the premise of ensuring accuracy. Finally, the simulation results verify that the relative error of the envelope method is less than 6.0% compared with that of the Monte Carlo simulation method, and the computational efficiency is higher than that of the Monte Carlo method, which demonstrates that the envelope method has better comprehensive performance.
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institution Kabale University
issn 1687-9619
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publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Robotics
spelling doaj-art-128e1928ed6048a5813084c9ad07c5052025-02-03T01:29:53ZengWileyJournal of Robotics1687-96192022-01-01202210.1155/2022/5917530Kinematic Reliability Analysis of a 7-DOF Redundant RobotLi Ding0Jiahui Gu1Ziyi Li2Shaopeng Kang3Rui Ma4College of Mechanical EngineeringCollege of Mechanical EngineeringCollege of Mechanical EngineeringCollege of Mechanical EngineeringCollege of Mechanical EngineeringThe kinematic reliability of robots, defined as the probability that the end-effector falls inside the specified safe boundary, is of great significance in predicting the accuracy achieved in reality. This work selects the 7 degrees-of-freedom (7-DOF) redundant robot as an example to conduct reliability analysis by utilizing the envelope method against time-related issues in this work. Since variables in industrial robots are very small relative to their means, the motion error functions are commonly linearized by the first-order Taylor’s formula to simplify calculation, and the failure models in all directions and attitude angles are then established through the probability method over the entire input interval. As a result, the actual accuracy of the robot in each pose component will be displayed, instead of merely considering the position error like other scholars. The principle of the proposed method is to transform a time-dependent problem into a time-independent one with the help of the failure extreme points and endpoints, so as to enhance the operation efficiency under the premise of ensuring accuracy. Finally, the simulation results verify that the relative error of the envelope method is less than 6.0% compared with that of the Monte Carlo simulation method, and the computational efficiency is higher than that of the Monte Carlo method, which demonstrates that the envelope method has better comprehensive performance.http://dx.doi.org/10.1155/2022/5917530
spellingShingle Li Ding
Jiahui Gu
Ziyi Li
Shaopeng Kang
Rui Ma
Kinematic Reliability Analysis of a 7-DOF Redundant Robot
Journal of Robotics
title Kinematic Reliability Analysis of a 7-DOF Redundant Robot
title_full Kinematic Reliability Analysis of a 7-DOF Redundant Robot
title_fullStr Kinematic Reliability Analysis of a 7-DOF Redundant Robot
title_full_unstemmed Kinematic Reliability Analysis of a 7-DOF Redundant Robot
title_short Kinematic Reliability Analysis of a 7-DOF Redundant Robot
title_sort kinematic reliability analysis of a 7 dof redundant robot
url http://dx.doi.org/10.1155/2022/5917530
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AT jiahuigu kinematicreliabilityanalysisofa7dofredundantrobot
AT ziyili kinematicreliabilityanalysisofa7dofredundantrobot
AT shaopengkang kinematicreliabilityanalysisofa7dofredundantrobot
AT ruima kinematicreliabilityanalysisofa7dofredundantrobot