| Citation: | LIU Guiyuan, YE Jinxiang, WANG Zhongrong, et al. Configuration design of aero-engine gear transmission based on graph theory and NSGA Ⅲ-TOPSIS algorithm[J]. Journal of Aerospace Power, 2025, 40(11):20240157 doi: 10.13224/j.cnki.jasp.20240157 |
An aero-engine gear transmission configuration design method based on graph theory and non-dominated sorting genetic algorithm Ⅲ- technique for order preference by similarity to ideal solution (NSGA Ⅲ-TOPSIS) was proposed. Using a six-accessory aero-engine gearbox as an example, 1 832 configurations were generated under 32 accessory layouts and 63 transmission chain arrangements, meeting the power transfer and model interference constraints. Subsequently, NSGA Ⅲ was used to obtain the gear transmission structural parameters, with design criteria including weight, frontal area, and load capacity. The best configuration was selected using the TOPSIS combined subjective and objective weights. Compared with the initial configuration, a 20% reduction in weight, a 16% decrease in frontal area, and an 18% reduction in the load on the split-power gear were achieved from the optimized configuration. This methodology can support the configuration design of the next generation’s high-power density aero-engine gear transmission.
| [1] |
LU Zehua, LIU Chang, LIAO Changjun, et al. Conceptual design and optimization of polymer gear system for low-thrust turbofan aeroengine accessory transmission[J]. Journal of Computational Design and Engineering, 2023, 11(1): 212-229. doi: 10.1093/jcde/qwae008
|
| [2] |
吴吉展, 魏沛堂, 刘怀举, 等. 航空齿轮钢表面完整性与滚动接触疲劳性能关联规律研究[J]. 机械工程学报, 2024, 60(4): 284-295. WU Jizhan, WEI Peitang, LIU Huaiju, et al. Study on the correlation between surface integrity and rolling contact fatigue performance of aviation gear steel[J]. Journal of Mechanical Engineering, 2024, 60(4): 284-295. (in Chinese
WU Jizhan, WEI Peitang, LIU Huaiju, et al. Study on the correlation between surface integrity and rolling contact fatigue performance of aviation gear steel[J]. Journal of Mechanical Engineering, 2024, 60(4): 284-295. (in Chinese)
|
| [3] |
吴吉展, 魏沛堂, 吴少杰, 等. 航空齿轮钢滚动接触疲劳性能预测与表面完整性优化[J]. 机械工程学报, 2024, 60(8): 81-93. WU Jizhan, WEI Peitang, WU Shaojie, et al. Rolling contact fatigue performance prediction and surface integrity optimization of aviation gear steel[J]. Journal of Mechanical Engineering, 2024, 60(8): 81-93. (in Chinese
WU Jizhan, WEI Peitang, WU Shaojie, et al. Rolling contact fatigue performance prediction and surface integrity optimization of aviation gear steel[J]. Journal of Mechanical Engineering, 2024, 60(8): 81-93. (in Chinese)
|
| [4] |
CROSSLEY F. The permutations of kinematic chains of eight member or less from the graph-theoretic viewpoint[J]. Developments in Theoretical and Applied Mechanisms, 1965, 2: 467-486.
|
| [5] |
FREUDENSTEIN F, DOBRJANSKYJ L. On a theory for the type synthesis of mechanisms[M]//Applied Mechanics. Berlin, Germany: Springer Berlin Heidelberg, 1966: 420-428.
|
| [6] |
DOBRJANSKYJ L, FREUDENSTEIN F. Some applications of graph theory to the structural analysis of mechanisms[J]. Journal of Engineering for Industry, 1967, 89(1): 153-158. doi: 10.1115/1.3609988
|
| [7] |
BUCHSBAUM F, FREUDENSTEIN F. Synthesis of kinematic structure of geared kinematic chains and other mechanisms[J]. Journal of Mechanisms, 1970, 5(3): 357-392. doi: 10.1016/0022-2569(70)90068-6
|
| [8] |
FREUDENSTEIN F. An application of Boolean algebra to the motion of epicyclic drives[J]. Journal of Engineering for Industry, 1971, 93(1): 176-182. doi: 10.1115/1.3427871
|
| [9] |
RAVISANKAR R, MRUTHYUNJAYA T S. Computerized synthesis of the structure of geared kinematic chains[J]. Mechanism and Machine Theory, 1985, 20(5): 367-387. doi: 10.1016/0094-114X(85)90042-4
|
| [10] |
KE Tao, DING Huafeng, GONG Chen, et al. Configuration synthesis of nine-speed automatic transmissions based on structural decomposition[J]. Mechanism and Machine Theory, 2021, 164: 104421. doi: 10.1016/j.mechmachtheory.2021.104421
|
| [11] |
YANG Yalian, LI Pengshuai, PEI Huanxin, et al. Design of all-wheel-drive power-split hybrid configuration schemes based on hierarchical topology graph theory[J]. Energy, 2022, 242: 122944. doi: 10.1016/j.energy.2021.122944
|
| [12] |
GONG Chen, DING Huafeng, KE Tao, et al. A fast detection method to solve mechanical interference problem in automatic transmission[J]. Mechanism and Machine Theory, 2023, 189: 105444. doi: 10.1016/j.mechmachtheory.2023.105444
|
| [13] |
EMMERICH M T M, DEUTZ A H. A tutorial on multiobjective optimization: fundamentals and evolutionary methods[J]. Natural Computing, 2018, 17(3): 585-609. doi: 10.1007/s11047-018-9685-y
|
| [14] |
ZHANG Pei, LI Yan, TANG Yougang, et al. Multi-objective optimization and dynamic response predictions of an articulated offshore wind turbine[J]. Ocean Engineering, 2023, 273: 114017. doi: 10.1016/j.oceaneng.2023.114017
|
| [15] |
CAI Yu, RAJARAM D, MAVRIS D N. Simultaneous aircraft sizing and multi-objective optimization considering off-design mission performance during early design[J]. Aerospace Science and Technology, 2022, 126: 107662. doi: 10.1016/j.ast.2022.107662
|
| [16] |
XU Zhe, NING Xin, YU Zongling, et al. Design optimization of a shell-and-tube heat exchanger with disc-and-doughnut baffles for aero-engine using one hybrid method of NSGA Ⅱ and MOPSO[J]. Case Studies in Thermal Engineering, 2023, 41: 102644. doi: 10.1016/j.csite.2022.102644
|
| [17] |
SRINIVAS N, DEB K. Muiltiobjective optimization using nondominated sorting in genetic algorithms[J]. Evolutionary Computation, 1994, 2(3): 221-248. doi: 10.1162/evco.1994.2.3.221
|
| [18] |
DEB K, PRATAP A, AGARWAL S, et al. A fast and elitist multiobjective genetic algorithm: NSGA-Ⅱ[J]. IEEE Transactions on Evolutionary Computation, 2002, 6(2): 182-197. doi: 10.1109/4235.996017
|
| [19] |
DEB K, JAIN H. An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach: Part Ⅰ solving problems with box constraints[J]. IEEE Transactions on Evolutionary Computation, 2014, 18(4): 577-601. doi: 10.1109/TEVC.2013.2281535
|
| [20] |
HU Mingzhu, WANG Haixia, WEI Peitang, et al. Multi-objective optimization of a co-rotating twin-screw gear transmission system based on heuristic search[J]. Journal of Mechanical Science and Technology, 2023, 37(11): 5831-5841. doi: 10.1007/s12206-023-1022-4
|
| [21] |
KIM B S, CHUNG W J, KIM S, et al. Optimum design of planetary gear set using multi-objective optimization considering mass, power loss and transmission error[J]. Mechanics Based Design of Structures and Machines, 2024, 52(10): 7325-7348. doi: 10.1080/15397734.2023.2297259
|
| [22] |
XIN Wen, ZHANG Yanyan, FU Yang, et al. A multi-objective optimization design approach of large mining planetary gear reducer[J]. Scientific Reports, 2023, 13: 18640. doi: 10.1038/s41598-023-45745-5
|