基于改进NSGA-Ⅱ的大功率拖拉机变速箱箱体多目标优化
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国家重点研发计划项目(2020YFB1713502)和烟台市校地融合发展项目(2021XDRHXMPT29)


Multi-objective Optimization of High-horsepower Tractor Gear Box Based on Improved NSGA-Ⅱ
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    摘要:

    为实现大功率拖拉机变速箱箱体在强度、刚度要求下的轻量化,提出一种基于改进非支配排序遗传算法(Non-dominated sorting genetic algorithm-Ⅱ,NSGA-Ⅱ)的大功率拖拉机变速箱箱体多目标优化方法。首先,分析大功率拖拉机变速箱箱体的受力情况,提出承载式变速箱箱体的静力学仿真分析方法,利用ANSYS分析箱体的强度、刚度;然后,引入K-均值聚类算法、正态分布交叉算子(Normal distribution crossover,NDX)和差分变异搜索策略改进NSGA-Ⅱ算法,并开展算例测试,结果表明,改进NSGA-Ⅱ的解集分布均匀性和算法稳定性均优于NSGA-Ⅱ,寻优效果更好,验证了所提算法的有效性与优越性;最后,基于改进NSGA-Ⅱ算法开展变速箱箱体多目标优化,对优化后的箱体进行仿真分析验证。结果表明,优化后的箱体质量、最大变形量、最大应力分别为168.16kg、0.449mm、215MPa,优于NSGA-Ⅱ的168.16kg、0.454mm、216.12MPa,在满足强度、刚度要求的前提下达到了轻量化的目的,同时进一步验证了本文算法在解决大功率拖拉机变速箱箱体多目标优化问题中的有效性和优越性。研究可为大功率拖拉机变速箱箱体的仿真、优化过程提供方法参考。

    Abstract:

    In order to realize the lightweight of the high-horsepower tractor gear box under the requirements of strength and stiffness, a multi-objective optimization method for high-horsepower tractor gear box based on an improved non-dominated sorting genetic algorithm-Ⅱ (NSGA-Ⅱ) was proposed. Firstly, the force of the gear box was analyzed, and the statics simulation analysis method of the load-bearing gear box was proposed. The strength and stiffness performance of the gear box were simulated and analyzed by ANSYS. Then, K-means clustering algorithm, normal distribution crossover (NDX) and differential mutation search strategy were introduced to improve the NSGA-Ⅱ algorithm, and example tests were carried out. The results showed that the solution set distribution uniformity and stability of the improved NSGA-Ⅱ were better than NSGA-Ⅱ, and the optimization effect was better, which verified the effectiveness and superiority of the proposed algorithm. Finally, the multi-objective optimization of the gear box was carried out based on the improved NSGA-Ⅱ algorithm, and the simulation analysis and verification of the optimized gear box were carried out. The results showed that the mass, maximum deformation and maximum stress of the optimized gear box were 168.16kg, 0.449mm, and 215MPa, respectively, which were better than 168.16kg, 0.454mm, and 216.12MPa of NSGA-Ⅱ. That realized the lightweight of the high-horsepower tractor gear box under the requirements of strength and stiffness, and further verified the effectiveness and superiority of the proposed algorithm in solving the multi-objective optimization problem of high-horsepower tractor gear box, and the research results provided a method reference for the simulation and optimization of the high-horsepower tractor gear box.

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张延安,杜岳峰,毛恩荣,孟青峰,朱忠祥.基于改进NSGA-Ⅱ的大功率拖拉机变速箱箱体多目标优化[J].农业机械学报,2022,53(s2):310-319. ZHANG Yan’an, DU Yuefeng, MAO Enrong, MENG Qingfeng, ZHU Zhongxiang. Multi-objective Optimization of High-horsepower Tractor Gear Box Based on Improved NSGA-Ⅱ[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(s2):310-319.

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  • 收稿日期:2022-06-15
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  • 在线发布日期: 2022-08-11
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