Stiffness Analysis of 4-PRP+3-UPS&PU Hybrid Machine Tool with Redundant Actuation

A six degree of freedom 4-PRP+3-UPS&PU redundant hybrid machine tool is proposed,and the statics and static stiffness of the machine tool is studied. Firstly,based on the force Jacobi matrix,the static equilibrium equation is presented,and the mapping matrix between the external load and the...

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Main Authors: Liu Na, Mei Ying, Chen Jingyao, Liu Xingfang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2017-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.09.006
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author Liu Na
Mei Ying
Chen Jingyao
Liu Xingfang
author_facet Liu Na
Mei Ying
Chen Jingyao
Liu Xingfang
author_sort Liu Na
collection DOAJ
description A six degree of freedom 4-PRP+3-UPS&PU redundant hybrid machine tool is proposed,and the statics and static stiffness of the machine tool is studied. Firstly,based on the force Jacobi matrix,the static equilibrium equation is presented,and the mapping matrix between the external load and the driving force and the binding force of the branch is solved. Secondly,the binding screw provided by each drive branch and constraint branch is analyzed,the elastic deformation of each rod under the action of the constraint screw is calculated. Finally,the stiffness model of the mechanism is established,and the elastic deformation of each branch is superposed,and then the overall flexibility and stiffness matrix of the mechanism are obtained. Combined with numerical examples,the MATLAB software is used to calculate the curves of the elastic deformation of each driving and moving platform with the length of the drive rod.
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institution Kabale University
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publishDate 2017-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-b3de1ad489f64eb28fd7d313ada934f12025-01-10T14:21:29ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392017-01-0141303529932511Stiffness Analysis of 4-PRP+3-UPS&PU Hybrid Machine Tool with Redundant ActuationLiu NaMei YingChen JingyaoLiu XingfangA six degree of freedom 4-PRP+3-UPS&PU redundant hybrid machine tool is proposed,and the statics and static stiffness of the machine tool is studied. Firstly,based on the force Jacobi matrix,the static equilibrium equation is presented,and the mapping matrix between the external load and the driving force and the binding force of the branch is solved. Secondly,the binding screw provided by each drive branch and constraint branch is analyzed,the elastic deformation of each rod under the action of the constraint screw is calculated. Finally,the stiffness model of the mechanism is established,and the elastic deformation of each branch is superposed,and then the overall flexibility and stiffness matrix of the mechanism are obtained. Combined with numerical examples,the MATLAB software is used to calculate the curves of the elastic deformation of each driving and moving platform with the length of the drive rod.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.09.006Redundant driveHybrid machine toolConstraint wrenchStiffness analysis
spellingShingle Liu Na
Mei Ying
Chen Jingyao
Liu Xingfang
Stiffness Analysis of 4-PRP+3-UPS&PU Hybrid Machine Tool with Redundant Actuation
Jixie chuandong
Redundant drive
Hybrid machine tool
Constraint wrench
Stiffness analysis
title Stiffness Analysis of 4-PRP+3-UPS&PU Hybrid Machine Tool with Redundant Actuation
title_full Stiffness Analysis of 4-PRP+3-UPS&PU Hybrid Machine Tool with Redundant Actuation
title_fullStr Stiffness Analysis of 4-PRP+3-UPS&PU Hybrid Machine Tool with Redundant Actuation
title_full_unstemmed Stiffness Analysis of 4-PRP+3-UPS&PU Hybrid Machine Tool with Redundant Actuation
title_short Stiffness Analysis of 4-PRP+3-UPS&PU Hybrid Machine Tool with Redundant Actuation
title_sort stiffness analysis of 4 prp 3 ups amp pu hybrid machine tool with redundant actuation
topic Redundant drive
Hybrid machine tool
Constraint wrench
Stiffness analysis
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.09.006
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AT meiying stiffnessanalysisof4prp3upsamppuhybridmachinetoolwithredundantactuation
AT chenjingyao stiffnessanalysisof4prp3upsamppuhybridmachinetoolwithredundantactuation
AT liuxingfang stiffnessanalysisof4prp3upsamppuhybridmachinetoolwithredundantactuation