基于响应面法的减速器行星架多目标优化研究

Multi-objective optimization of reducer planet carrier based on response surface method

针对某二级行星齿轮减速器的行星架存在的强度不足、质量过大等问题,对行星架的应力分布进行了分析,对行星架进行了多目标优化。首先,采用两种不同的方案对行星架进行了强度分析(其中,方案一采用了直接加载轴承力的方法,方案二采用了行星架装配体刚柔耦合模型),得出了二种不同的应力和应力分布结果;然后,通过对其实际工况进行分析,结果表明方案二的边界条件最切合实际;最后,在方案二的基础上,对行星架进行了多目标优化,通过CCD实验设计方法进行了样本抽样计算;通过Kriging响应面方法对样本数据进行了拟合,得出了其响应面模型;并根据响应面模型对行星架进行了多目标寻优,得到了最优解。研究结果表明:行星架最大应力位置为输出端与轴的接触部位,且行星架两端面板的受力是非对称的;行星轴的结构、刚度对行星架的受力情况有较大影响;优化后行星架的最大等效应力可降低10.1%,最大变形量可降低34%,质量可降低24.8%。

Aiming at the problems of insufficient strength and excessive mass of the planet carrier of a two-stage planetary gear reducer,the stress distribution of the planet carrier was analyzed.The multi-objective optimization of planet carrier was carried out.Firstly,the strength of planet carrier through two different schemes was analyzed(among them,scheme 1 adopted the method of directly loading bearing force,scheme 2 adopted the rigid flexible coupling model of planet carrier assembly),and two different stress and stress distribution results were obtained.Then,through the analysis of its actual working conditions,the results show that the boundary conditions of scheme 2 were the most practical.Finally,on the basis of scheme 2,the multi-objective optimization of planetary carrier was carried out.The CCD experimental design method was used for sample sampling calculation,and then the Kriging response surface method was used to fit the sample data to obtain the response surface model.The multi-objective optimization was carried out according to the response surface model to obtain the optimal solution.The experimental results show that the maximum stress position of the planet carrier is the contact part between the output end and the shaft,and the force on the panels at both ends of the planet carrier is asymmetric.The structure and stiffness of the planetary shaft have a great influence on the stress of the planetary carrier.Through optimization,the maximum equivalent stress of the planet carrier can be reduced by 10.1%,the maximum deformation can be reduced by 34%,and the mass can be reduced by 24.8%.