Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms
Four-bar linkages are one of the most widely used mechanisms in industries. This paper presents a comparative study on the accuracy and efficiency of the optimum synthesis of path-generating four-bar linkages using five metaheuristic optimization algorithms. The utilized metaheuristic methods includ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/15/7368 |
| _version_ | 1797414816781959168 |
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| author | Yaw-Hong Kang Jau-Wen Lin Wei-Chen You |
| author_facet | Yaw-Hong Kang Jau-Wen Lin Wei-Chen You |
| author_sort | Yaw-Hong Kang |
| collection | DOAJ |
| description | Four-bar linkages are one of the most widely used mechanisms in industries. This paper presents a comparative study on the accuracy and efficiency of the optimum synthesis of path-generating four-bar linkages using five metaheuristic optimization algorithms. The utilized metaheuristic methods included two swarm intelligence-based algorithms, i.e., particle swarm optimization and hybrid particle swarm optimization, and three evolutionary-based algorithms, i.e., differential evolution, ensemble of parameters and mutation strategies in differential evolution, and linearly ensemble of parameters and mutation strategies in differential evolution. The objective function to be minimized is the sum of squares of the distance between the generated points and the precision points of a coupler point. The optimal design of four-bar linkages must meet the Grashof’s criteria and exhibit sequential constraints that can prevent the occurrence of order defect. This study investigated five representative cases of the dimensional synthesis of four-bar path generators with and without prescribed timing and compared the optimal solutions of the utilized five metaheuristic methods to those of previously reported algorithms in literature. The improved metaheuristic methods exhibited superior optimal solution and enhanced reliability compared to the original methods. Moreover, three improved metaheuristic methods were not only easy implemented, but also more efficient for solving the optimal synthesis problems, particularly for high dimensional problems. |
| first_indexed | 2024-03-09T05:39:27Z |
| format | Article |
| id | doaj.art-b483f62fdb884a748d83a56f23e42d9b |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T05:39:27Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-b483f62fdb884a748d83a56f23e42d9b2023-12-03T12:26:34ZengMDPI AGApplied Sciences2076-34172022-07-011215736810.3390/app12157368Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization AlgorithmsYaw-Hong Kang0Jau-Wen Lin1Wei-Chen You2Department of Mechanical Engineering, National Kaohsiung University of Science and Technology, Kaohsiung City 80778, TaiwanDepartment of Mechanical Engineering, National Kaohsiung University of Science and Technology, Kaohsiung City 80778, TaiwanKwang Yang Motor Co., Ltd., Kaohsiung City 80794, TaiwanFour-bar linkages are one of the most widely used mechanisms in industries. This paper presents a comparative study on the accuracy and efficiency of the optimum synthesis of path-generating four-bar linkages using five metaheuristic optimization algorithms. The utilized metaheuristic methods included two swarm intelligence-based algorithms, i.e., particle swarm optimization and hybrid particle swarm optimization, and three evolutionary-based algorithms, i.e., differential evolution, ensemble of parameters and mutation strategies in differential evolution, and linearly ensemble of parameters and mutation strategies in differential evolution. The objective function to be minimized is the sum of squares of the distance between the generated points and the precision points of a coupler point. The optimal design of four-bar linkages must meet the Grashof’s criteria and exhibit sequential constraints that can prevent the occurrence of order defect. This study investigated five representative cases of the dimensional synthesis of four-bar path generators with and without prescribed timing and compared the optimal solutions of the utilized five metaheuristic methods to those of previously reported algorithms in literature. The improved metaheuristic methods exhibited superior optimal solution and enhanced reliability compared to the original methods. Moreover, three improved metaheuristic methods were not only easy implemented, but also more efficient for solving the optimal synthesis problems, particularly for high dimensional problems.https://www.mdpi.com/2076-3417/12/15/7368path-generating four-bar linkagemetaheuristic optimization algorithmswarm intelligence-based algorithmevolutionary-based algorithm |
| spellingShingle | Yaw-Hong Kang Jau-Wen Lin Wei-Chen You Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms Applied Sciences path-generating four-bar linkage metaheuristic optimization algorithm swarm intelligence-based algorithm evolutionary-based algorithm |
| title | Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms |
| title_full | Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms |
| title_fullStr | Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms |
| title_full_unstemmed | Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms |
| title_short | Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms |
| title_sort | comparative study on the synthesis of path generating four bar linkages using metaheuristic optimization algorithms |
| topic | path-generating four-bar linkage metaheuristic optimization algorithm swarm intelligence-based algorithm evolutionary-based algorithm |
| url | https://www.mdpi.com/2076-3417/12/15/7368 |
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