行星变速器的模糊可靠性多目标优化设计

Fuzzy Reliablity Multi-objective Optimization Design of Planetary Gearbox

以提高行星传动系统效率和增大系统可靠性并尽量减轻整机的重量为目标函数,通过线性加权函数法确定目标函数的数学模型,采用设计变量规格化的方法确定加权因子,基于模糊数学理论的可靠性约束条件以及功能进行几何约束,运用Matlab优化工具箱进行优化,对三个局部最优解叠加计算,保证了优化参数是满足目标函数的全局最优解。通过实例表明,运用多目标可靠性设计优化方法后传递效率和系统的稳定性比初始设计方案提高了,轮系质量也有所减轻。

An objective function for increasing the transmission efficiency and reliability of the planetary system and trying our best to reduce the weight is set up,through the linear weighted function method,the mathematical model of objective function is established.The weighting factors is determined by using the method of design variables normalization.Based on the fuzzy mathematics theory of reliability constraints and geometric constraint,the optimal design is carried out by using optimization toolbox in Matlab.To ensure the optimal parameter to meet the global optimal solution of objective function,stack calculation of the three local optimal solution are carried out.Through an example show that,by using multi-objective optimization method of fuzzy reliability design,the transfer efficiency and stability of the system are improved,the quality of the planet gear train is also reduced.