基于遗传算法的可控螺旋角锥齿轮传动的优化设计

Optimal Design of Variable Helix Angle Bevel Gear based on Genetic Algorithms

传统仿形法加工锥齿轮齿形误差大导致载荷不均、寿命短,而可控螺旋角锥齿轮是一种基于数控加工技术的新型锥齿轮,其为使用普通机床实现大型锥齿轮的精加工开辟了一条新途径。但该齿轮体积大是其缺点,本文通过对该齿轮传动的分析与设计,建立了优化数学模型,以体积最小作为优化目标,利用遗传算法进行优化,与传统优化方法进行了比较,结果表明,遗传算法用于求解可控螺旋角锥齿轮传动多变量、多约束优化问题的有效性和正确性,具有实际应用价值。

The traditional copying process method of cutting bevel gear produces large error, which leads to allocate load unequally and short the life of gear. However, Variable helix angle bevel gear (VHABG) is a new kind of gear based on numerical control technology. It is a new way to cut large size bevel gear accurately with traditional milling machine. But the volume of the gear is large, cost is high. The above problem limited the application of the gear. A variable helix angle bevel gear is analyzed and its optional mathematics model is established. The optimal solution of the gear is found with genetic algorithms. Compared with the traditional optimal methods, the result shows that applying genetic algorithms to solving the optimization problems with many restraints and many types of variants is feasible, and the method is of importance to the application of the gear.