The Influence of Main Design Parameters on the Overall Cost of a Gearbox
This study is aimed at determining optimum partial gear ratios to minimize the cost of a three-stage helical gearbox. In this work, eleven input parameters were investigated to find their influence on the optimum gear ratios of the second and the third stages (<inline-formula> <math display...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/7/2365 |
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| author | Ngoc-Pi Vu Dinh-Ngoc Nguyen Anh-Tung Luu Ngoc-Giang Tran Thi-Hong Tran Van-Cuong Nguyen Thanh-Danh Bui Hong-Linh Nguyen |
| author_facet | Ngoc-Pi Vu Dinh-Ngoc Nguyen Anh-Tung Luu Ngoc-Giang Tran Thi-Hong Tran Van-Cuong Nguyen Thanh-Danh Bui Hong-Linh Nguyen |
| author_sort | Ngoc-Pi Vu |
| collection | DOAJ |
| description | This study is aimed at determining optimum partial gear ratios to minimize the cost of a three-stage helical gearbox. In this work, eleven input parameters were investigated to find their influence on the optimum gear ratios of the second and the third stages (<inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mn>2</mn> </msub> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mn>3</mn> </msub> </mrow> </semantics> </math> </inline-formula>). To reach the goal, a simulation experiment was designed and implemented by a cost optimization program. The results revealed that in addition to the input parameters, their interactions also have important effects in which the total ratio gearbox ratio (<inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mi>t</mi> </msub> </mrow> </semantics> </math> </inline-formula>) and the cost of shaft (<inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>C</mi> <mi>s</mi> </msub> </mrow> </semantics> </math> </inline-formula>) have the most impact on <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mn>2</mn> </msub> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mn>3</mn> </msub> </mrow> </semantics> </math> </inline-formula> responses, respectively. Moreover, the proposed models of the two responses are highly consistent to the experimental results. The proposed regression equations can be applied to solve optimization cost problems. |
| first_indexed | 2024-03-10T20:47:34Z |
| format | Article |
| id | doaj.art-1840f0484a244d72b21a540d952c0651 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T20:47:34Z |
| publishDate | 2020-03-01 |
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| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-1840f0484a244d72b21a540d952c06512023-11-19T20:10:35ZengMDPI AGApplied Sciences2076-34172020-03-01107236510.3390/app10072365The Influence of Main Design Parameters on the Overall Cost of a GearboxNgoc-Pi Vu0Dinh-Ngoc Nguyen1Anh-Tung Luu2Ngoc-Giang Tran3Thi-Hong Tran4Van-Cuong Nguyen5Thanh-Danh Bui6Hong-Linh Nguyen7Faculty of Mechanical Engineering, Thai Nguyen University of Technology, 3/2 street, Tichluong ward, Thai Nguyen City 251750, VietnamFaculty of Mechanical Engineering, Thai Nguyen University of Technology, 3/2 street, Tichluong ward, Thai Nguyen City 251750, VietnamFaculty of Mechanical Engineering, Thai Nguyen University of Technology, 3/2 street, Tichluong ward, Thai Nguyen City 251750, VietnamFaculty of Mechanical Engineering, Thai Nguyen University of Technology, 3/2 street, Tichluong ward, Thai Nguyen City 251750, VietnamFaculty of Mechanical Engineering, Nguyen Tat Thanh University, 300A Nguyen Tat Thanh Street, Ward 13, District 4, Ho Chi Minh City 754000, VietnamFaculty of Mechanical Engineering, University of Transport and Communications, Hanoi City 11512, VietnamFaculty of Mechanical Engineering, University of Transport and Communications, Hanoi City 11512, VietnamFaculty of Mechanical Engineering, Electric power University, 235 Hoang Quoc Viet Street, Hanoi City 122300, VietnamThis study is aimed at determining optimum partial gear ratios to minimize the cost of a three-stage helical gearbox. In this work, eleven input parameters were investigated to find their influence on the optimum gear ratios of the second and the third stages (<inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mn>2</mn> </msub> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mn>3</mn> </msub> </mrow> </semantics> </math> </inline-formula>). To reach the goal, a simulation experiment was designed and implemented by a cost optimization program. The results revealed that in addition to the input parameters, their interactions also have important effects in which the total ratio gearbox ratio (<inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mi>t</mi> </msub> </mrow> </semantics> </math> </inline-formula>) and the cost of shaft (<inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>C</mi> <mi>s</mi> </msub> </mrow> </semantics> </math> </inline-formula>) have the most impact on <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mn>2</mn> </msub> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>u</mi> <mn>3</mn> </msub> </mrow> </semantics> </math> </inline-formula> responses, respectively. Moreover, the proposed models of the two responses are highly consistent to the experimental results. The proposed regression equations can be applied to solve optimization cost problems.https://www.mdpi.com/2076-3417/10/7/2365gearboxgear ratiooptimum gearbox designthree-stage helical gearbox |
| spellingShingle | Ngoc-Pi Vu Dinh-Ngoc Nguyen Anh-Tung Luu Ngoc-Giang Tran Thi-Hong Tran Van-Cuong Nguyen Thanh-Danh Bui Hong-Linh Nguyen The Influence of Main Design Parameters on the Overall Cost of a Gearbox Applied Sciences gearbox gear ratio optimum gearbox design three-stage helical gearbox |
| title | The Influence of Main Design Parameters on the Overall Cost of a Gearbox |
| title_full | The Influence of Main Design Parameters on the Overall Cost of a Gearbox |
| title_fullStr | The Influence of Main Design Parameters on the Overall Cost of a Gearbox |
| title_full_unstemmed | The Influence of Main Design Parameters on the Overall Cost of a Gearbox |
| title_short | The Influence of Main Design Parameters on the Overall Cost of a Gearbox |
| title_sort | influence of main design parameters on the overall cost of a gearbox |
| topic | gearbox gear ratio optimum gearbox design three-stage helical gearbox |
| url | https://www.mdpi.com/2076-3417/10/7/2365 |
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