行星齿轮减速器的优化设计

A Study on Reliablity Optimization Design of Planetary Gear Reducer

以NGW行星齿轮减速器为物理模型,建立了以齿数za、模数m、齿宽b、太阳轮变位系数xa和内齿圈变位系数xb为设计变量,以体积最小为目标,以齿轮的强度要求等作为约束条件的优化设计模型。由于设计变量中的齿数、模数是非均匀的离散变量,齿宽和变位系数为连续变量,提出了连续变量及非均匀离散变量的均匀离散化处理方法,并借鉴离散变量的搜索优化法,在连续变量的复合形法基础上,探讨了一种求解有约束非线性混合离散变量的优化设计问题的方法——混合离散复合形法。结果表明,不仅获得了满意的综合效果,而且所得的结果符合实际要求,是一种具有工程实用价值的设计方法。

Taking NGW-type planetary gearbox as the physical model, the main target of optimizations is mode value m, dent number za , dent breadth b, addendum coefficient xa and xb. An objective function for obtaining a least gearbox volume is set up. Based on continuous variables complex shape method and discrete variables searching optimum method, this paper provides the method of separating continuous variables and non-uniform discrete variable uniformly, and suggests mixed complex shape method which provides the solution to equation of optimum design of constrained nonlinear of mixed discrete variables for finding a solutions to many problems of discrete and continuous optimum design in engineering can be applied to the optimization design of engineering structure. The result indicates that the synthesis effect is satisfactory and the result meets requirement.