基于差分进化算法的减速器齿轮参数优化设计

PARAMETER OPTIMIZATION DESIGN OF REDUCER GEARS BASED ON DIFFERENTIAL EVOLUTION ALGORITHM

根据上海道路循环工况,利用载荷的随机连续性和20CrMnMo材料的低载强化特性进行减速器齿轮有限寿命的轻量化设计。基于线性损伤理论,分别计算编制载荷谱和连续载荷谱在低载强化效应下的疲劳损伤,将疲劳损伤约束在一定范围内为选取条件,以齿轮体积最小为优化目标,建立了齿轮有限寿命的轻量化优化模型,通过差分进化算法求解得到优化后的齿轮参数。实验结果表明,设计的模型可快速准确优化齿轮参数,在采用连续载荷谱和考虑低载强化效应时,优化的齿轮参数最小。优化的模型可移植性好,可直接迁移到其他变速系统零件的轻量化设计。

According to Shanghai road driving cycle,a light⁃weight design model for gear in driving deceleration system with finite life is developed,in consideration of random continuous loading characteristics and low amplitude load strengthening effect on 20CrMnMo steel.Based on linear damage theory,developed load spectrum and continuous load spectrum with low amplitude load strengthening were implemented to calculate fatigue damage.To minimize gear volume,a light⁃weight optimization model was established with the constraint of fatigue damage,and differential evolution algorithm was then adopted to solve the model.Experimental results show that the designed model can find the optimal gear parameters quickly and accurately,and the best optimized parameters can be obtained when the continuous load spectrum is used and the low amplitude load strengthening effect is taken into consideration.The optimization model designed in this paper has excellent transferability and can be directly migrate to light⁃weight optimization of other transmission parts.