双圆弧齿轮传动多目标稳健优化设计

Multi-objective Robust Optimization Design of Double Arc Gear Drive

为了提高复杂约束条件下双圆弧齿轮传动的设计质量和速度,通过算例,采用粒子群优化算法对其进行约束多目标优化设计,求出满足约束条件的Pareto解集。考虑工程实际中误差的客观存在,进行了4因素13水平的均匀试验设计及望目特性的信噪比计算,在此基础上,依据多目标稳健优化设计原理在Pareto解集中选择最稳健的设计做为最终方案。分析了结果方案中目标函数(体积函数和相对曲率半径函数)对各个设计变量的灵敏度,得出了目标函数最为敏感的因素及各因素对目标函数的影响程度,用于指导公差的制定和实际加工制造。

In order to improve double arc gear drive design quality and speed in the complex constrained condition,the Pareto solution set of meeting the constraints is derived by example and the particle swarm optimization algorithm for constrained multi-objective optimization.As there is objective error in engineering,on the basis uniform design of 4 factors,13 levels and SNR calculation of the look mesh characteristics.Taking the most robust design in the pareto solution set as the final stage is selected by the multi-objective robust design principle is in.By the analysis of the results of the program in the objective function（volume function and the relative radius of curvature function） to the sensitivity of the various design variables,it is concluded that the most sensitive factors of the objective function and their impacting on the objective function which can be used to guide the development of tolerance and the actual processing.