Performance Analysis and Dimensional Optimization of 2RUP<sub>a</sub>R-2RRU Parallel Mechanism

A novel plane symmetric 2RUP<sub>a</sub>R-2RRU parallel mechanism with two translational and two rotational degrees of freedom is proposed, and it is can be used as the main body structure of a vibrating screen. The screw theory is applied to analyze its degrees of freedom and to identif...

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Main Authors: Linxian Che, Bing He, Jie Li, Haiyi Jiang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2022-09-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.09.007
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author Linxian Che
Bing He
Jie Li
Haiyi Jiang
author_facet Linxian Che
Bing He
Jie Li
Haiyi Jiang
author_sort Linxian Che
collection DOAJ
description A novel plane symmetric 2RUP<sub>a</sub>R-2RRU parallel mechanism with two translational and two rotational degrees of freedom is proposed, and it is can be used as the main body structure of a vibrating screen. The screw theory is applied to analyze its degrees of freedom and to identify the motion characteristics. The displacement analysis model is established to obtain the analytical expressions of inverse displacement solutions to this mechanism. This study analyzes the velocity of the mechanism by means of the vector method and derives the input and output Jacobian matrices. On this basis, the possible singular configurations of the mechanism are investigated. The input and output transmission indices are used to evaluate the motion and force transmission performances of the mechanism. Furthermore, the definition, the numerical calculation method of the effective transmission orientation workspace and the effective transmission positional workspace (ETPW) are introduced. A constrained optimization model is constructed to formulate the design problem of dimensional parameters on the maximizing ETPW, and the differential evolutionary algorithm is employed to solve this problem. A case of dimensional optimization design of the mechanism is given to show that the presented model and algorithm are feasible and effective. The ETPW of the mechanism obtained by optimization design is better than that obtained by the experience design.
format Article
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institution Kabale University
issn 1004-2539
language zho
publishDate 2022-09-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-fe2758779b5a49f6954e8a7435bf78472025-01-10T14:00:01ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392022-09-0146495830488100Performance Analysis and Dimensional Optimization of 2RUP<sub>a</sub>R-2RRU Parallel MechanismLinxian CheBing HeJie LiHaiyi JiangA novel plane symmetric 2RUP<sub>a</sub>R-2RRU parallel mechanism with two translational and two rotational degrees of freedom is proposed, and it is can be used as the main body structure of a vibrating screen. The screw theory is applied to analyze its degrees of freedom and to identify the motion characteristics. The displacement analysis model is established to obtain the analytical expressions of inverse displacement solutions to this mechanism. This study analyzes the velocity of the mechanism by means of the vector method and derives the input and output Jacobian matrices. On this basis, the possible singular configurations of the mechanism are investigated. The input and output transmission indices are used to evaluate the motion and force transmission performances of the mechanism. Furthermore, the definition, the numerical calculation method of the effective transmission orientation workspace and the effective transmission positional workspace (ETPW) are introduced. A constrained optimization model is constructed to formulate the design problem of dimensional parameters on the maximizing ETPW, and the differential evolutionary algorithm is employed to solve this problem. A case of dimensional optimization design of the mechanism is given to show that the presented model and algorithm are feasible and effective. The ETPW of the mechanism obtained by optimization design is better than that obtained by the experience design.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.09.007Parallel mechanismDisplacement analysisSingular configurationPerformance indexDimensional parameters optimization
spellingShingle Linxian Che
Bing He
Jie Li
Haiyi Jiang
Performance Analysis and Dimensional Optimization of 2RUP<sub>a</sub>R-2RRU Parallel Mechanism
Jixie chuandong
Parallel mechanism
Displacement analysis
Singular configuration
Performance index
Dimensional parameters optimization
title Performance Analysis and Dimensional Optimization of 2RUP<sub>a</sub>R-2RRU Parallel Mechanism
title_full Performance Analysis and Dimensional Optimization of 2RUP<sub>a</sub>R-2RRU Parallel Mechanism
title_fullStr Performance Analysis and Dimensional Optimization of 2RUP<sub>a</sub>R-2RRU Parallel Mechanism
title_full_unstemmed Performance Analysis and Dimensional Optimization of 2RUP<sub>a</sub>R-2RRU Parallel Mechanism
title_short Performance Analysis and Dimensional Optimization of 2RUP<sub>a</sub>R-2RRU Parallel Mechanism
title_sort performance analysis and dimensional optimization of 2rup sub a sub r 2rru parallel mechanism
topic Parallel mechanism
Displacement analysis
Singular configuration
Performance index
Dimensional parameters optimization
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.09.007
work_keys_str_mv AT linxianche performanceanalysisanddimensionaloptimizationof2rupsubasubr2rruparallelmechanism
AT binghe performanceanalysisanddimensionaloptimizationof2rupsubasubr2rruparallelmechanism
AT jieli performanceanalysisanddimensionaloptimizationof2rupsubasubr2rruparallelmechanism
AT haiyijiang performanceanalysisanddimensionaloptimizationof2rupsubasubr2rruparallelmechanism