Dynamic analysis of a parallel robot with spherical joints with consideration for joint clearance

This paper proposes a dynamic analysis method for evaluating the vibrational behavior of a parallel robot having spherical joints with clearance. By using variables that represent the relative displacement between the elements of clearance joints as generalized coordinates, it is enabled to implemen...

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Main Authors: Masumi OHNO, Yukio TAKEDA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2022-01-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/88/906/88_21-00188/_pdf/-char/en
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author Masumi OHNO
Yukio TAKEDA
author_facet Masumi OHNO
Yukio TAKEDA
author_sort Masumi OHNO
collection DOAJ
description This paper proposes a dynamic analysis method for evaluating the vibrational behavior of a parallel robot having spherical joints with clearance. By using variables that represent the relative displacement between the elements of clearance joints as generalized coordinates, it is enabled to implement a general algorithm regardless of the combination of spherical joints with clearance. The constraint equations are eliminated from the set of differential algebraic equations to be solved, and therefore the method does not need to use Baumgarte constraint stabilization method. The method was applied to a DELTA robot and were examined by measurement with a real machine. The acceleration of output link when using the special trajectories, which are likely to cause the impact only at a single spherical joint at the beginning of motion, was investigated. From the results of simulation, several motion modes of joint elements due to the clearance are confirmed; free flight, impact, and continuous contact modes. The acceleration of the output link fluctuates significantly at the time when the joint elements are in the impact mode, which shows the fact that the impact of joint elements at the spherical joints with clearance causes vibrational behavior of the robot. The appearance of the acceleration fluctuations are coincided with that of experimental results, which shows the effectiveness of the proposed method as a method for analyzing the vibrational behavior of parallel robots caused by joint clearance.
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spelling doaj.art-7acdd93a34bc4a87b31bf8fc4187638d2022-12-22T04:13:52ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612022-01-018890621-0018821-0018810.1299/transjsme.21-00188transjsmeDynamic analysis of a parallel robot with spherical joints with consideration for joint clearanceMasumi OHNO0Yukio TAKEDA1Department of Mechanical Engineering, Tokyo Institute of TechnologyDepartment of Mechanical Engineering, Tokyo Institute of TechnologyThis paper proposes a dynamic analysis method for evaluating the vibrational behavior of a parallel robot having spherical joints with clearance. By using variables that represent the relative displacement between the elements of clearance joints as generalized coordinates, it is enabled to implement a general algorithm regardless of the combination of spherical joints with clearance. The constraint equations are eliminated from the set of differential algebraic equations to be solved, and therefore the method does not need to use Baumgarte constraint stabilization method. The method was applied to a DELTA robot and were examined by measurement with a real machine. The acceleration of output link when using the special trajectories, which are likely to cause the impact only at a single spherical joint at the beginning of motion, was investigated. From the results of simulation, several motion modes of joint elements due to the clearance are confirmed; free flight, impact, and continuous contact modes. The acceleration of the output link fluctuates significantly at the time when the joint elements are in the impact mode, which shows the fact that the impact of joint elements at the spherical joints with clearance causes vibrational behavior of the robot. The appearance of the acceleration fluctuations are coincided with that of experimental results, which shows the effectiveness of the proposed method as a method for analyzing the vibrational behavior of parallel robots caused by joint clearance.https://www.jstage.jst.go.jp/article/transjsme/88/906/88_21-00188/_pdf/-char/enparallel robotmulti-body dynamicsconstraint stabilizationjoint clearancecontact modelvibrational behavior
spellingShingle Masumi OHNO
Yukio TAKEDA
Dynamic analysis of a parallel robot with spherical joints with consideration for joint clearance
Nihon Kikai Gakkai ronbunshu
parallel robot
multi-body dynamics
constraint stabilization
joint clearance
contact model
vibrational behavior
title Dynamic analysis of a parallel robot with spherical joints with consideration for joint clearance
title_full Dynamic analysis of a parallel robot with spherical joints with consideration for joint clearance
title_fullStr Dynamic analysis of a parallel robot with spherical joints with consideration for joint clearance
title_full_unstemmed Dynamic analysis of a parallel robot with spherical joints with consideration for joint clearance
title_short Dynamic analysis of a parallel robot with spherical joints with consideration for joint clearance
title_sort dynamic analysis of a parallel robot with spherical joints with consideration for joint clearance
topic parallel robot
multi-body dynamics
constraint stabilization
joint clearance
contact model
vibrational behavior
url https://www.jstage.jst.go.jp/article/transjsme/88/906/88_21-00188/_pdf/-char/en
work_keys_str_mv AT masumiohno dynamicanalysisofaparallelrobotwithsphericaljointswithconsiderationforjointclearance
AT yukiotakeda dynamicanalysisofaparallelrobotwithsphericaljointswithconsiderationforjointclearance