基于多目标遗传算法NSGA-Ⅱ的串联齿轮机构变位系数优化

Modification Coefficient Optimization of Series Gear Mechanism based on Multi-objective Genetic Algorithm NSGA-Ⅱ

为研究串联齿轮变位系数的合理分配问题,以中心距偏差和齿顶高变动系数为优化目标,同时考虑加工时不发生根切、齿顶不过薄、保证一定的重合度和不产生过渡曲线干涉等4个约束条件,建立了多目标优化模型。然后采用多目标遗传算法NSGA-Ⅱ对目标函数进行求解,最终实现了串联齿轮变位系数的优化。研究表明,用这种方法进行串联齿轮机构变位系数的分配行之有效,优化后的齿轮变位系数符合工程实际,很好地满足了设计要求。

In order to rationally allocate modification coefficients of a series gear mechanism,a optimization model based on multi-objective genetic algorithm is set up. In the model,the objectives are set as the center distance deviation and variation coefficient of addendum height,and four constraint conditions are taken into account,such as no undercutting,no too thin addendum thickness,no too small contact ratio,no transitional curve interference. A multi-objective genetic algorithm,namely NSGA-Ⅱ method is used to solve the objective function. The modification coefficients of the series gear mechanism are optimized. As the results show,this method is especially efficient to be used to optimize the mechanism modification coefficients. The optimized coefficients accord with engineering practice and fulfill well the design demand.