Multi-objective optimization design of spur gear based on NSGA-II and decision making
Optimization design of spur gear is a complicated work because the performance characteristics depend on different types of decision variables and objectives. Traditional single-objective optimization design of the spur gear always results in poor outcomes relative to other objectives due to objecti...
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2019-03-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814018824936 |
| _version_ | 1818546960494231552 |
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| author | Qizhi Yao |
| author_facet | Qizhi Yao |
| author_sort | Qizhi Yao |
| collection | DOAJ |
| description | Optimization design of spur gear is a complicated work because the performance characteristics depend on different types of decision variables and objectives. Traditional single-objective optimization design of the spur gear always results in poor outcomes relative to other objectives due to objectives’ competition with each other. Therefore, this study works on the spur gear design based on the multi-objective optimization model of elitist non-dominated sorting genetic algorithm (NSGA-II). In the model, gear module, teeth number, and transmission ratio are decision variables, while center distance, bearing capacity coefficient, and meshing efficiency are objectives. Final optimal solutions are picked out from Pareto frontier calculated from NSGA-II using the decision makers of Shannon Entropy, linear programming technique for multidimensional analysis of preference (LINMAP), and technique of order preference by similarity to an ideal solution (TOPSIS). Meanwhile, a deviation index is used to evaluate the reasonable status of the optimal solutions. From triple-objective and dual-objective optimization results, it is found that the optimal solution selected from LINMAP decision maker shows a relatively small deviation index. It indicates that LINMAP decision maker may yield better optimal solution. This study could provide some beneficial information for spur design. |
| first_indexed | 2024-12-12T08:00:13Z |
| format | Article |
| id | doaj.art-63a0355e01c844efa425c7049d20b498 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-12T08:00:13Z |
| publishDate | 2019-03-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-63a0355e01c844efa425c7049d20b4982022-12-22T00:32:10ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402019-03-011110.1177/1687814018824936Multi-objective optimization design of spur gear based on NSGA-II and decision makingQizhi YaoOptimization design of spur gear is a complicated work because the performance characteristics depend on different types of decision variables and objectives. Traditional single-objective optimization design of the spur gear always results in poor outcomes relative to other objectives due to objectives’ competition with each other. Therefore, this study works on the spur gear design based on the multi-objective optimization model of elitist non-dominated sorting genetic algorithm (NSGA-II). In the model, gear module, teeth number, and transmission ratio are decision variables, while center distance, bearing capacity coefficient, and meshing efficiency are objectives. Final optimal solutions are picked out from Pareto frontier calculated from NSGA-II using the decision makers of Shannon Entropy, linear programming technique for multidimensional analysis of preference (LINMAP), and technique of order preference by similarity to an ideal solution (TOPSIS). Meanwhile, a deviation index is used to evaluate the reasonable status of the optimal solutions. From triple-objective and dual-objective optimization results, it is found that the optimal solution selected from LINMAP decision maker shows a relatively small deviation index. It indicates that LINMAP decision maker may yield better optimal solution. This study could provide some beneficial information for spur design.https://doi.org/10.1177/1687814018824936 |
| spellingShingle | Qizhi Yao Multi-objective optimization design of spur gear based on NSGA-II and decision making Advances in Mechanical Engineering |
| title | Multi-objective optimization design of spur gear based on NSGA-II and decision making |
| title_full | Multi-objective optimization design of spur gear based on NSGA-II and decision making |
| title_fullStr | Multi-objective optimization design of spur gear based on NSGA-II and decision making |
| title_full_unstemmed | Multi-objective optimization design of spur gear based on NSGA-II and decision making |
| title_short | Multi-objective optimization design of spur gear based on NSGA-II and decision making |
| title_sort | multi objective optimization design of spur gear based on nsga ii and decision making |
| url | https://doi.org/10.1177/1687814018824936 |
| work_keys_str_mv | AT qizhiyao multiobjectiveoptimizationdesignofspurgearbasedonnsgaiianddecisionmaking |