Analysis of Joint Constraint Reaction of Spatial 3-UPS Parallel Mechanism

In light of the complexity of calculation of joint force of spatial mechanism system,a mechanical analysis of joint constraint reaction of 3-UPS Parallel mechanism is carried out. Considering the relationship between Lagrange multiplier and constraint reaction of spatial mechanism,the joint reaction...

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Main Authors: Baozhou Shi, Wei Wei, Xiujie Xu, Zhenkai Li
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2022-02-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.02.012
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author Baozhou Shi
Wei Wei
Xiujie Xu
Zhenkai Li
author_facet Baozhou Shi
Wei Wei
Xiujie Xu
Zhenkai Li
author_sort Baozhou Shi
collection DOAJ
description In light of the complexity of calculation of joint force of spatial mechanism system,a mechanical analysis of joint constraint reaction of 3-UPS Parallel mechanism is carried out. Considering the relationship between Lagrange multiplier and constraint reaction of spatial mechanism,the joint reaction of the spatial parallel mechanism is calculated based on Lagrange augmented method. At the same time,the calculation results are verified by Newton Euler method and Adams and Matlab Software co-simulation,and a comparative analysis of the two results is conducted. The results show that the size of the joint constraint reaction of the spatial mechanism calculated by the two methods is basically the same,and the error is between 0.5% and 1.2%,which is relatively small. The correctness of the method of using Lagrange multiplier and Lagrange augmented method to calculate the joint constraint reaction of spatial mechanism is verified,and a certain reference for the mechanical analysis of spatial mechanism is provided.
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spelling doaj.art-817ac10b758e4e8c874760bd00dc7b282025-01-10T13:59:42ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392022-02-0146737730482006Analysis of Joint Constraint Reaction of Spatial 3-UPS Parallel MechanismBaozhou ShiWei WeiXiujie XuZhenkai LiIn light of the complexity of calculation of joint force of spatial mechanism system,a mechanical analysis of joint constraint reaction of 3-UPS Parallel mechanism is carried out. Considering the relationship between Lagrange multiplier and constraint reaction of spatial mechanism,the joint reaction of the spatial parallel mechanism is calculated based on Lagrange augmented method. At the same time,the calculation results are verified by Newton Euler method and Adams and Matlab Software co-simulation,and a comparative analysis of the two results is conducted. The results show that the size of the joint constraint reaction of the spatial mechanism calculated by the two methods is basically the same,and the error is between 0.5% and 1.2%,which is relatively small. The correctness of the method of using Lagrange multiplier and Lagrange augmented method to calculate the joint constraint reaction of spatial mechanism is verified,and a certain reference for the mechanical analysis of spatial mechanism is provided.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.02.012Spatial parallel mechanismJoint restraint reactionLagrange multiplierNewton Euler method
spellingShingle Baozhou Shi
Wei Wei
Xiujie Xu
Zhenkai Li
Analysis of Joint Constraint Reaction of Spatial 3-UPS Parallel Mechanism
Jixie chuandong
Spatial parallel mechanism
Joint restraint reaction
Lagrange multiplier
Newton Euler method
title Analysis of Joint Constraint Reaction of Spatial 3-UPS Parallel Mechanism
title_full Analysis of Joint Constraint Reaction of Spatial 3-UPS Parallel Mechanism
title_fullStr Analysis of Joint Constraint Reaction of Spatial 3-UPS Parallel Mechanism
title_full_unstemmed Analysis of Joint Constraint Reaction of Spatial 3-UPS Parallel Mechanism
title_short Analysis of Joint Constraint Reaction of Spatial 3-UPS Parallel Mechanism
title_sort analysis of joint constraint reaction of spatial 3 ups parallel mechanism
topic Spatial parallel mechanism
Joint restraint reaction
Lagrange multiplier
Newton Euler method
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.02.012
work_keys_str_mv AT baozhoushi analysisofjointconstraintreactionofspatial3upsparallelmechanism
AT weiwei analysisofjointconstraintreactionofspatial3upsparallelmechanism
AT xiujiexu analysisofjointconstraintreactionofspatial3upsparallelmechanism
AT zhenkaili analysisofjointconstraintreactionofspatial3upsparallelmechanism