基于多目标遗传算法的差速器壳体轻量化设计

Lightweight design of differential case based on multi-objective genetic algorithm

  • 摘要: 针对某新能源汽车差速器壳体需在满足行驶工况的刚强度要求下实现轻量化,提出一种基于多目标遗传算法NGSA-II和参数化模型相关联的优化设计方法。首先通过SolidWorks和ANSYS的联合仿真,对差速器壳体的大端、小端、法兰及主减速器外圆等部位的厚度实现参数化手段,并通过模态分析和静力学计算证明壳体有足够的优化空间;然后构建尺寸变量同优化目标之间的响应曲面;最后基于多目标遗传算法,建立以质量最小和壳体最大应力最小为目标的优化模型,对差速器壳体进行轻量化设计。结果显示:优化后壳体总质量从6.80 kg减为6.10 kg,减少了10.3%;壳体最大应力降低了9.9%;同时壳体的最大变形量在安全范围内,证明基于多目标遗传算法进行轻量化设计是可行的。

     

    Abstract: An optimal design method based on multi-objective genetic algorithm NGSA-II and parameterized model was proposed to achieve lightweight of the differential case of a new energy vehicle while meeting the rigidity and strength requirements of driving conditions. Through the joint simulation of SolidWorks and ANSYS, the thickness of the big end, the small end, the flange, the outer circle of the main reducer and other parts of the differential case were firstly parameterized, and it was proved that the differential case had enough optimization space through modal analysis and static calculation. Secondly, a response surface between size variables and optimization objectives was constructed. Finally, based on the multi-objective genetic algorithm, the optimization model aiming at minimizing the mass and the maximum stress on the case was established to realize the lightweight design of the differential case. The results show that the total mass of the optimized case enjoys a mass reduction by 10.3% (from 6.80 kg to 6.10 kg); the maximum stress on the case is reduced by 9.9%, and the maximum deformation of the case is within the safe range. The above results prove that it is feasible to carry out lightweight design based on multi-objective genetic algorithm.

     

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