基于MATLAB的双圆弧圆柱齿轮传动优化设计

Optimal Design of Double Circular Arc Cylindrical Gear Drive based on MATLAB

将优化数学理论与MATLAB软件相结合,以双圆弧圆柱齿轮传动为研究对象,进行优化设计。优化中以传动中心距和齿轮体积最小为目标函数,提出边界和强度约束条件,对计算系数进行取值构建出优化数学模型,编写优化计算程序,利用fmincon和bnb20函数对其进行优化求解,得到优化方案,与初始设计方案相比,新设计方案传动中心距减小24%,齿轮体积减小27%,优化效果明显,可为设计选型提供必要参考。

Combining the optimization mathematical theory with Matlab, taking the double circular arc cylindrical gear drive as study object, the optimization design is carried out. During the optimal design process,regarded minimal centre distance and gear volume as optimization goals, the boundary and strength constraint condition is proposed, the optimal design model is established by determining the value of the parameters.Then, the program of the optimization is programmed, the optimization scheme is obtained through the function of fmincon and bnb20. Compared with the original design scheme, the centre distance is reduced by 24%, and gear volume is reduced by 27%, so the effect of optimization is significant, the necessary reference for design and type- selection can be provided.