IBOA-Based Optimization of Cross-Sectional Dimension of Rods for a 3-RRR PPM to Minimize Energy Consumption

For obtaining optimal cross-sectional dimensions of rods for a 3-RRR planar parallel manipulator (PPM) to minimize energy consumption, the inverse dynamics of the manipulator is modeled based on the Newton–Euler method, after which the coefficient matrix of the inverse dynamics equation is decompose...

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Autores principales: Yin Gao, Ke Chen, Hong Gao, Hongmei Zheng, Lei Wang, Kerong Jiang
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Lenguaje:EN
Publicado: Hindawi-Wiley 2021
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Acceso en línea:https://doaj.org/article/3f5af36e1190468e9a4cbab12a2ddbad
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spelling oai:doaj.org-article:3f5af36e1190468e9a4cbab12a2ddbad2021-11-29T00:56:34ZIBOA-Based Optimization of Cross-Sectional Dimension of Rods for a 3-RRR PPM to Minimize Energy Consumption1099-052610.1155/2021/4920739https://doaj.org/article/3f5af36e1190468e9a4cbab12a2ddbad2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/4920739https://doaj.org/toc/1099-0526For obtaining optimal cross-sectional dimensions of rods for a 3-RRR planar parallel manipulator (PPM) to minimize energy consumption, the inverse dynamics of the manipulator is modeled based on the Newton–Euler method, after which the coefficient matrix of the inverse dynamics equation is decomposed based on matrix theory. Hence, the objective function, that is, the logical relationship between the energy consumption of the manipulator and the cross-sectional dimension of each rod, is established. However, in solving the multidimensional constrained single-object optimization problem, there are difficulties such as the penalty function’s sensitivity to the penalty factors if the problem is transformed into the one of unconstrained multiobjective optimization. Therefore, to properly handle the constraints, an improved butterfly optimization algorithm (IBOA) is presented to ensure that the new iterated point always falls into the feasible region according to the butterfly optimization algorithm (BOA). Finally, the comparisons among the IBOA, particle swarm optimization (PSO), and BOA and further experiments of the physical prototype are implemented to validate the effectiveness of the proposed theoretical model and numerical algorithm. Results indicate that the proposed IBOA is more suitable for solving the constrained single-object optimization problem with better convergence speed and accuracy.Yin GaoKe ChenHong GaoHongmei ZhengLei WangKerong JiangHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Electronic computers. Computer science
QA75.5-76.95
spellingShingle Electronic computers. Computer science
QA75.5-76.95
Yin Gao
Ke Chen
Hong Gao
Hongmei Zheng
Lei Wang
Kerong Jiang
IBOA-Based Optimization of Cross-Sectional Dimension of Rods for a 3-RRR PPM to Minimize Energy Consumption
description For obtaining optimal cross-sectional dimensions of rods for a 3-RRR planar parallel manipulator (PPM) to minimize energy consumption, the inverse dynamics of the manipulator is modeled based on the Newton–Euler method, after which the coefficient matrix of the inverse dynamics equation is decomposed based on matrix theory. Hence, the objective function, that is, the logical relationship between the energy consumption of the manipulator and the cross-sectional dimension of each rod, is established. However, in solving the multidimensional constrained single-object optimization problem, there are difficulties such as the penalty function’s sensitivity to the penalty factors if the problem is transformed into the one of unconstrained multiobjective optimization. Therefore, to properly handle the constraints, an improved butterfly optimization algorithm (IBOA) is presented to ensure that the new iterated point always falls into the feasible region according to the butterfly optimization algorithm (BOA). Finally, the comparisons among the IBOA, particle swarm optimization (PSO), and BOA and further experiments of the physical prototype are implemented to validate the effectiveness of the proposed theoretical model and numerical algorithm. Results indicate that the proposed IBOA is more suitable for solving the constrained single-object optimization problem with better convergence speed and accuracy.
format article
author Yin Gao
Ke Chen
Hong Gao
Hongmei Zheng
Lei Wang
Kerong Jiang
author_facet Yin Gao
Ke Chen
Hong Gao
Hongmei Zheng
Lei Wang
Kerong Jiang
author_sort Yin Gao
title IBOA-Based Optimization of Cross-Sectional Dimension of Rods for a 3-RRR PPM to Minimize Energy Consumption
title_short IBOA-Based Optimization of Cross-Sectional Dimension of Rods for a 3-RRR PPM to Minimize Energy Consumption
title_full IBOA-Based Optimization of Cross-Sectional Dimension of Rods for a 3-RRR PPM to Minimize Energy Consumption
title_fullStr IBOA-Based Optimization of Cross-Sectional Dimension of Rods for a 3-RRR PPM to Minimize Energy Consumption
title_full_unstemmed IBOA-Based Optimization of Cross-Sectional Dimension of Rods for a 3-RRR PPM to Minimize Energy Consumption
title_sort iboa-based optimization of cross-sectional dimension of rods for a 3-rrr ppm to minimize energy consumption
publisher Hindawi-Wiley
publishDate 2021
url https://doaj.org/article/3f5af36e1190468e9a4cbab12a2ddbad
work_keys_str_mv AT yingao iboabasedoptimizationofcrosssectionaldimensionofrodsfora3rrrppmtominimizeenergyconsumption
AT kechen iboabasedoptimizationofcrosssectionaldimensionofrodsfora3rrrppmtominimizeenergyconsumption
AT honggao iboabasedoptimizationofcrosssectionaldimensionofrodsfora3rrrppmtominimizeenergyconsumption
AT hongmeizheng iboabasedoptimizationofcrosssectionaldimensionofrodsfora3rrrppmtominimizeenergyconsumption
AT leiwang iboabasedoptimizationofcrosssectionaldimensionofrodsfora3rrrppmtominimizeenergyconsumption
AT kerongjiang iboabasedoptimizationofcrosssectionaldimensionofrodsfora3rrrppmtominimizeenergyconsumption
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