安装误差下弧齿锥齿轮齿面6σ稳健优化设计

Tooth surface 6σ robust optimization desgin under installation error of spiral bevel gear

由于航空弧齿锥齿轮传动过程中存在安装误差,其不确定性对齿轮传动中的噪声和稳健性有较大的影响,利用Monte Carlo模拟描述抽样方法与多岛遗传算法对弧齿锥齿轮的2阶接触参数进行设计,将局部综合法和6σ分析法结合形成了弧齿锥齿轮的稳健性优化设计方法,并展开了对安装误差不敏感的稳健性优化设计。结果表明:给定工况下,合理地预设2阶接触参数的取值与容差量可将齿轮传动中安装误差不确定性的稳健性提高至99.9%以上;同时可有效降低弧齿锥齿轮接触印痕、传动误差的灵敏度30%以上,改善弧齿锥齿轮传动的接触性能。验证了文中基于6σ稳健优化设计技术的弧齿锥齿轮稳健性设计方法的可行性。

Due to the installation error in the transmission of aviation spiral bevel gears,its uncertainty had a great impact on the noise and robustness of the gear transmission.Monte Carlo simulation was used to describe the sampling method and the multi-island genetic algorithm for spiral bevel gears.The design of the second-order contact parameters was combined with the local synthesis method and the 6σ analysis method to form a robust optimization design method.And a robust optimization design not sensitive to installation errors was developed.The results showed that, under a given working condition, the robustness of the uncertainty of installation error in gear transmission can be improved to more than 99.9% by reasonably presetting the value and tolerance of second-order contact parameters,the sensitivity of contact mark and transmission error can be effectively reduced by more than 30%, and the contact performance of spiral bevel gear transmission can thus be improved.The feasibility of the robust design method for spiral bevel gears based on the 6σ robust optimization design technique in the article was verified.