Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel Mechanism

In view of the real-time control problem caused by the strong coupling of input/output of the parallel mechanism, a three translation parallel mechanism with zero coupling degree is proposed according to the topological design theory and method of parallel mechanism of orientation feature position a...

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Main Authors: Li Lihong, Zhang Fahai, Zhu Lei
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2022-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.10.010
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author Li Lihong
Zhang Fahai
Zhu Lei
author_facet Li Lihong
Zhang Fahai
Zhu Lei
author_sort Li Lihong
collection DOAJ
description In view of the real-time control problem caused by the strong coupling of input/output of the parallel mechanism, a three translation parallel mechanism with zero coupling degree is proposed according to the topological design theory and method of parallel mechanism of orientation feature position and orientation characteristic(POC) equation. The mechanism is composed of two CPR and one UPU branch chain, which has the characteristics of analytical position positive solution, low coupling degree, good flexibility of motion and large working space. The main topological characteristics such as azimuth feature set, freedom degree and coupling degree are calculated respectively. The motion constraint equation is established and the analytic expressions of input and output positions of the mechanism are obtained. The conditions of odd shape occurrence are studied, and the performance indexes such as dexterity of reciprocal of Jacobian matrix condition number and operation space at the end of dynamic platform are analyzed. Finally, the global dexterity of the mechanism is taken as the target of configuration optimization and the optimization of size parameters is carried out by the grasshopper optimization algorithm(GOA). It provides theoretical reference for the structural design and high precision position control of the parallel mechanism.
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spelling doaj.art-0c5a6e6f8a1c4491a6308eadc1673c1b2023-05-26T09:56:08ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392022-01-0146647031572667Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel MechanismLi LihongZhang FahaiZhu LeiIn view of the real-time control problem caused by the strong coupling of input/output of the parallel mechanism, a three translation parallel mechanism with zero coupling degree is proposed according to the topological design theory and method of parallel mechanism of orientation feature position and orientation characteristic(POC) equation. The mechanism is composed of two CPR and one UPU branch chain, which has the characteristics of analytical position positive solution, low coupling degree, good flexibility of motion and large working space. The main topological characteristics such as azimuth feature set, freedom degree and coupling degree are calculated respectively. The motion constraint equation is established and the analytic expressions of input and output positions of the mechanism are obtained. The conditions of odd shape occurrence are studied, and the performance indexes such as dexterity of reciprocal of Jacobian matrix condition number and operation space at the end of dynamic platform are analyzed. Finally, the global dexterity of the mechanism is taken as the target of configuration optimization and the optimization of size parameters is carried out by the grasshopper optimization algorithm(GOA). It provides theoretical reference for the structural design and high precision position control of the parallel mechanism.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.10.010Parallel mechanism;Three translation;Coupling degree;Workspace;Dexterity;GOA
spellingShingle Li Lihong
Zhang Fahai
Zhu Lei
Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel Mechanism
Jixie chuandong
Parallel mechanism;Three translation;Coupling degree;Workspace;Dexterity;GOA
title Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel Mechanism
title_full Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel Mechanism
title_fullStr Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel Mechanism
title_full_unstemmed Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel Mechanism
title_short Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel Mechanism
title_sort kinematic analysis and optimization design of 2 cpr upu three translation parallel mechanism
topic Parallel mechanism;Three translation;Coupling degree;Workspace;Dexterity;GOA
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.10.010
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AT zhangfahai kinematicanalysisandoptimizationdesignof2cpruputhreetranslationparallelmechanism
AT zhulei kinematicanalysisandoptimizationdesignof2cpruputhreetranslationparallelmechanism