Kinematics Analysis of 3T1R 4-PRP<sub>a</sub>U Parallel Mechanism

A parallel mechanism with symmetrical 3TIR (4-PRP<sub>a</sub>U) is presented. In accordance with the condition of rod length, the model of positional forward solution is established, then it is transformed into an unconstrained optimization problem and solved by differential evolution al...

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Main Authors: Shikun Wen, Linxian Che, Li Du, Guowang Chen
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2020-11-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.020
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author Shikun Wen
Linxian Che
Li Du
Guowang Chen
author_facet Shikun Wen
Linxian Che
Li Du
Guowang Chen
author_sort Shikun Wen
collection DOAJ
description A parallel mechanism with symmetrical 3TIR (4-PRP<sub>a</sub>U) is presented. In accordance with the condition of rod length, the model of positional forward solution is established, then it is transformed into an unconstrained optimization problem and solved by differential evolution algorithm. The analytical expression of the inverse solution of mechanism position is derived and the correctness of the forward displacement of mechanism position is verified by using the inverse solution of mechanism position. The vector method is applied to derive the expressions of mechanism velocity and acceleration to give the mechanism scale parameters and number imitation is conducted with Matlab. At the same time, the Adams is used for kinematics simulation. The results show that the Adams motion simulation curve is consistent with the Matlab numerical simulation curve, which verifies the correctness of the theoretical derivation.
format Article
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institution Kabale University
issn 1004-2539
language zho
publishDate 2020-11-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-ede7859173264c5ab61c2d2c980b94de2025-01-10T14:55:00ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-11-014412112629792449Kinematics Analysis of 3T1R 4-PRP<sub>a</sub>U Parallel MechanismShikun WenLinxian CheLi DuGuowang ChenA parallel mechanism with symmetrical 3TIR (4-PRP<sub>a</sub>U) is presented. In accordance with the condition of rod length, the model of positional forward solution is established, then it is transformed into an unconstrained optimization problem and solved by differential evolution algorithm. The analytical expression of the inverse solution of mechanism position is derived and the correctness of the forward displacement of mechanism position is verified by using the inverse solution of mechanism position. The vector method is applied to derive the expressions of mechanism velocity and acceleration to give the mechanism scale parameters and number imitation is conducted with Matlab. At the same time, the Adams is used for kinematics simulation. The results show that the Adams motion simulation curve is consistent with the Matlab numerical simulation curve, which verifies the correctness of the theoretical derivation.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.020Parallel mechanismKinematics analysisVector methodAdams simulation
spellingShingle Shikun Wen
Linxian Che
Li Du
Guowang Chen
Kinematics Analysis of 3T1R 4-PRP<sub>a</sub>U Parallel Mechanism
Jixie chuandong
Parallel mechanism
Kinematics analysis
Vector method
Adams simulation
title Kinematics Analysis of 3T1R 4-PRP<sub>a</sub>U Parallel Mechanism
title_full Kinematics Analysis of 3T1R 4-PRP<sub>a</sub>U Parallel Mechanism
title_fullStr Kinematics Analysis of 3T1R 4-PRP<sub>a</sub>U Parallel Mechanism
title_full_unstemmed Kinematics Analysis of 3T1R 4-PRP<sub>a</sub>U Parallel Mechanism
title_short Kinematics Analysis of 3T1R 4-PRP<sub>a</sub>U Parallel Mechanism
title_sort kinematics analysis of 3t1r 4 prp sub a sub u parallel mechanism
topic Parallel mechanism
Kinematics analysis
Vector method
Adams simulation
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.020
work_keys_str_mv AT shikunwen kinematicsanalysisof3t1r4prpsubasubuparallelmechanism
AT linxianche kinematicsanalysisof3t1r4prpsubasubuparallelmechanism
AT lidu kinematicsanalysisof3t1r4prpsubasubuparallelmechanism
AT guowangchen kinematicsanalysisof3t1r4prpsubasubuparallelmechanism