Multi-objective Optimization of Dimensional Parameter for 4-PRP<sub>a</sub>R Parallel Mechanism

Taking a 4-PRPaR parallel mechanism with three translational and one rotational as the research object, the evolutionary multi-objective algorithm is applied to solve the dimensional synthesis problem of mechanism. The degree of freedom of mechanism is analyzed by means of constraint screw theory, a...

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Main Authors: Jian Yi, Bing He, Linxian Che, Jie Li
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2021-07-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.07.009
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author Jian Yi
Bing He
Linxian Che
Jie Li
author_facet Jian Yi
Bing He
Linxian Che
Jie Li
author_sort Jian Yi
collection DOAJ
description Taking a 4-PRPaR parallel mechanism with three translational and one rotational as the research object, the evolutionary multi-objective algorithm is applied to solve the dimensional synthesis problem of mechanism. The degree of freedom of mechanism is analyzed by means of constraint screw theory, and the analytical expression of the inverse position solution of mechanism is given. These works can be foundations for the mechanism performance analysis. The evaluation indices for motion and force transmission performance of mechanism are established, and the definition of regular effective transmission workspace (RETW) and its average transmission indices are presented. A multi-objective optimization model is constructed to formulate the design problem of dimensional parameters on the maximizing radius of RETW and average transmission indices, and the fast and elitist multi-objective genetic algorithm combined with differential evolution algorithm is used to solve this problem. A real case of multi-objective optimization for dimensional parameters is given, and the result shows that the model and algorithm are feasible and effective. The research results can provide a theoretical basis for the practical application and the development of physical prototype.
format Article
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institution Kabale University
issn 1004-2539
language zho
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publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-123ac79f11d0459e87cfc9bcc83153302025-01-10T14:48:27ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392021-07-0145606618847674Multi-objective Optimization of Dimensional Parameter for 4-PRP<sub>a</sub>R Parallel MechanismJian YiBing HeLinxian CheJie LiTaking a 4-PRPaR parallel mechanism with three translational and one rotational as the research object, the evolutionary multi-objective algorithm is applied to solve the dimensional synthesis problem of mechanism. The degree of freedom of mechanism is analyzed by means of constraint screw theory, and the analytical expression of the inverse position solution of mechanism is given. These works can be foundations for the mechanism performance analysis. The evaluation indices for motion and force transmission performance of mechanism are established, and the definition of regular effective transmission workspace (RETW) and its average transmission indices are presented. A multi-objective optimization model is constructed to formulate the design problem of dimensional parameters on the maximizing radius of RETW and average transmission indices, and the fast and elitist multi-objective genetic algorithm combined with differential evolution algorithm is used to solve this problem. A real case of multi-objective optimization for dimensional parameters is given, and the result shows that the model and algorithm are feasible and effective. The research results can provide a theoretical basis for the practical application and the development of physical prototype.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.07.009Parallel mechanismTransmission performance indexTransmission workspaceDimensional synthesisEvolutionary multi-objective algorithm
spellingShingle Jian Yi
Bing He
Linxian Che
Jie Li
Multi-objective Optimization of Dimensional Parameter for 4-PRP<sub>a</sub>R Parallel Mechanism
Jixie chuandong
Parallel mechanism
Transmission performance index
Transmission workspace
Dimensional synthesis
Evolutionary multi-objective algorithm
title Multi-objective Optimization of Dimensional Parameter for 4-PRP<sub>a</sub>R Parallel Mechanism
title_full Multi-objective Optimization of Dimensional Parameter for 4-PRP<sub>a</sub>R Parallel Mechanism
title_fullStr Multi-objective Optimization of Dimensional Parameter for 4-PRP<sub>a</sub>R Parallel Mechanism
title_full_unstemmed Multi-objective Optimization of Dimensional Parameter for 4-PRP<sub>a</sub>R Parallel Mechanism
title_short Multi-objective Optimization of Dimensional Parameter for 4-PRP<sub>a</sub>R Parallel Mechanism
title_sort multi objective optimization of dimensional parameter for 4 prp sub a sub r parallel mechanism
topic Parallel mechanism
Transmission performance index
Transmission workspace
Dimensional synthesis
Evolutionary multi-objective algorithm
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.07.009
work_keys_str_mv AT jianyi multiobjectiveoptimizationofdimensionalparameterfor4prpsubasubrparallelmechanism
AT binghe multiobjectiveoptimizationofdimensionalparameterfor4prpsubasubrparallelmechanism
AT linxianche multiobjectiveoptimizationofdimensionalparameterfor4prpsubasubrparallelmechanism
AT jieli multiobjectiveoptimizationofdimensionalparameterfor4prpsubasubrparallelmechanism