Adaptive Differential Evolution Algorithm for Forward Position Solution of Parallel Mechanism

According to the constrained length of the bars,the unconstrained optimization model is constructed to formulate the forward position analysis for a 6 degrees-of-freedom general 6-SPS parallel mechanism,and the differential evolution( DE) algorithm is employed to solve this problem. Aiming at the ba...

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Main Author: Yi Jian
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2016-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2016.06.014
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author Yi Jian
author_facet Yi Jian
author_sort Yi Jian
collection DOAJ
description According to the constrained length of the bars,the unconstrained optimization model is constructed to formulate the forward position analysis for a 6 degrees-of-freedom general 6-SPS parallel mechanism,and the differential evolution( DE) algorithm is employed to solve this problem. Aiming at the basic DE algorithm has some weaknesses,such as evolutionary stagnation and falling into local extremum domains,an adaptive strategy for introducing new individuals is presented to improve its optimization performance. This strategy is dynamically incorporated into DE algorithm to form an adaptive DE( ADE) algorithm,which adopts hybrid mutant operators,and scale and cross factors with trigonometric function perturbations. The numerical results of the forward kinematic analysis for a general 6-SPS parallel mechanism show that ADE algorithm can obtain all high accuracy solutions with lighter computational cost. Furthermore,the ADE algorithm is compared with basic DE,the adaptive mutation particle swarm optimization,and improved artificial bee colony algorithms,and it is verified that the former outperforms the compared algorithms in term of convergence precision and calculated robustness.
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institution Kabale University
issn 1004-2539
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publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-6e4f616714b14c6e9ff080aeb9477b582025-01-10T14:17:07ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392016-01-0140707429924342Adaptive Differential Evolution Algorithm for Forward Position Solution of Parallel MechanismYi JianAccording to the constrained length of the bars,the unconstrained optimization model is constructed to formulate the forward position analysis for a 6 degrees-of-freedom general 6-SPS parallel mechanism,and the differential evolution( DE) algorithm is employed to solve this problem. Aiming at the basic DE algorithm has some weaknesses,such as evolutionary stagnation and falling into local extremum domains,an adaptive strategy for introducing new individuals is presented to improve its optimization performance. This strategy is dynamically incorporated into DE algorithm to form an adaptive DE( ADE) algorithm,which adopts hybrid mutant operators,and scale and cross factors with trigonometric function perturbations. The numerical results of the forward kinematic analysis for a general 6-SPS parallel mechanism show that ADE algorithm can obtain all high accuracy solutions with lighter computational cost. Furthermore,the ADE algorithm is compared with basic DE,the adaptive mutation particle swarm optimization,and improved artificial bee colony algorithms,and it is verified that the former outperforms the compared algorithms in term of convergence precision and calculated robustness.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2016.06.014Parallel mechanismForward position solutionDifferential evolution algorithmAdaptive strategy
spellingShingle Yi Jian
Adaptive Differential Evolution Algorithm for Forward Position Solution of Parallel Mechanism
Jixie chuandong
Parallel mechanism
Forward position solution
Differential evolution algorithm
Adaptive strategy
title Adaptive Differential Evolution Algorithm for Forward Position Solution of Parallel Mechanism
title_full Adaptive Differential Evolution Algorithm for Forward Position Solution of Parallel Mechanism
title_fullStr Adaptive Differential Evolution Algorithm for Forward Position Solution of Parallel Mechanism
title_full_unstemmed Adaptive Differential Evolution Algorithm for Forward Position Solution of Parallel Mechanism
title_short Adaptive Differential Evolution Algorithm for Forward Position Solution of Parallel Mechanism
title_sort adaptive differential evolution algorithm for forward position solution of parallel mechanism
topic Parallel mechanism
Forward position solution
Differential evolution algorithm
Adaptive strategy
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2016.06.014
work_keys_str_mv AT yijian adaptivedifferentialevolutionalgorithmforforwardpositionsolutionofparallelmechanism