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Static and dynamic characteristic analysis and multi-objective topology optimization of gearbox
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Wei LIU1, 2, Xiang ZHU1, 2, Ting GAO1, 2, Weidong FANG2, 3, Hao LI1, 2, Xuehui CHEN1, 2, Shuai HAO1, 2
Journal of Mechanical Strength | 2025, 47(2) : 94 - 102
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Journal of Mechanical Strength | 2025, 47(2): 94-102
• Optimization∙Reliability •
Static and dynamic characteristic analysis and multi-objective topology optimization of gearbox
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Wei LIU1, 2, Xiang ZHU1, 2, Ting GAO1, 2, Weidong FANG2, 3, Hao LI1, 2, Xuehui CHEN1, 2, Shuai HAO1, 2
Affiliations
  • 1.School of Mechanical and Electrical Engineering, Anhui Jianzhu University, Hefei 230601, China
  • 2.Anhui Province Key Laboratory of Critical Friction Pair for Advanced Equipment, Hefei 230601, China
  • 3.Hefei Bolin Advanced Materials Co., Ltd., Hefei 230601, China
Published: 2025-02-15 doi: 10.16579/j.issn.1001.9669.2025.02.012
Outline
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To address the issue of gearboxes’ vibration and noise, multi-objective topology optimization was adopted to optimize the box structure.First, a combination weighting method known as game theory comprehensive analytic hierarchy process and grey correlation was proposed to allocate optimal weight values to sub-objectives. At the same time, the iterative curves of the optimization results of the three weighting methods were compared to verify the advantages of the combination weighting method.Then, the compromise programming method was used to normalize the sub objectives to obtain the comprehensive objective function.Finally, based on the topology optimization results, stress displacement nephogram, and modal shapes, the box structure was improved.Compared with the original box, the improved box reduces the mass by 11.2%,the maximum stress of the box decreases by 39.6%, the displacement decreases by 5.1%, the node displacement amplitude response decreases by 82.8%, and the all first four-order frequencies increase.The proposed weight allocation method improves the disadvantages of low reliability of sub objective weight value allocation and ignoring subjective judgment,realizes the lightweight of the box. After the improvement of the box structure, the static and dynamic performances are significantly improved.

Multi-objective topology optimization  /  Gearbox  /  Compromise programming method  /  Combination weighting method
Wei LIU, Xiang ZHU, Ting GAO, Weidong FANG, Hao LI, Xuehui CHEN, Shuai HAO. Static and dynamic characteristic analysis and multi-objective topology optimization of gearbox[J]. Journal of Mechanical Strength, 2025 , 47 (2) : 94 -102 . DOI: 10.16579/j.issn.1001.9669.2025.02.012
Funding
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  • Anhui Province Outstanding Youth Research Project in Colleges and Universities(2022AH020025)
  • Anhui Province Key Research Project in Natural Sciences of Higher Education(2022AH050257)
  • Hefei Natural Science Foundation Project(202317)
  • Introduction of Talents and Doctoral Startup Fund Project of Anhui Jianzhu University(2019QDZ46)
  • National Development and Investment Group Co., Ltd. Technology Project(SDIC2023-03)
Appendix
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Year 2025 volume 47 Issue 2
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60
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Article Info
doi: 10.16579/j.issn.1001.9669.2025.02.012
  • Receive Date：2023-06-01
  • Online Date：2026-03-18
  • Published：2025-02-15
Article Data
Affiliations
History
  • Received：2023-06-01
  • Revised：2023-07-17
Funding
Anhui Province Outstanding Youth Research Project in Colleges and Universities(2022AH020025)
Anhui Province Key Research Project in Natural Sciences of Higher Education(2022AH050257)
Hefei Natural Science Foundation Project(202317)
Introduction of Talents and Doctoral Startup Fund Project of Anhui Jianzhu University(2019QDZ46)
National Development and Investment Group Co., Ltd. Technology Project(SDIC2023-03)
Affiliations
    1.School of Mechanical and Electrical Engineering, Anhui Jianzhu University, Hefei 230601, China
    2.Anhui Province Key Laboratory of Critical Friction Pair for Advanced Equipment, Hefei 230601, China
    3.Hefei Bolin Advanced Materials Co., Ltd., Hefei 230601, China

Corresponding:

LIU Wei, E-mail：
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多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
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小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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