基于Kriging模型的膜盘型面优化设计方法研究

Optimization Design of Diaphragm Profile based on Kriging Model

膜盘联轴器在实际使用中多以膜盘疲劳失效为主。为提高膜盘抗疲劳性能,以膜盘高周疲劳安全系数最大化为目标,提出了一种基于Kriging模型的膜盘型面参数优化设计方法。在分析膜盘型面结构和高周疲劳应力的基础上,通过有限元计算获取膜盘型面参数与高周疲劳安全系数的样本数据;基于该样本数据集构建了膜盘高周疲劳安全系数的初始Kriging模型;最后,运用遗传优化算法和目标函数值最小(Minimizing the predicted objective function,MP)加点准则完成了Kriging模型动态更新和优化设计。应用该方法对某直升机传动的膜盘进行了改进设计。结果表明,优化后膜盘危险点的稳态应力和动态应力分别下降了18.7%和40.7%,高周疲劳安全系数提高了52.8%。该方法可用于提高膜盘疲劳安全裕度,为膜盘设计提供了参考。

The failures of diaphragm couplings in application are mostly originated from fatigue failures of the diaphragm.To improve the fatigue performance of the diaphragm coupling,a optimization design method for the diaphragm profile parameters based on the Kriging model is proposed to maximize the high-cycle fatigue safety factor of the diaphragm design.After analyzing the structure of the diaphragm profile and the feature of the high-cycle fatigue stress for the diaphragm under various loads,the sample data of the high-cycle fatigue safety factors for groups of diaphragm profile parameters(including outside/inside radius ratio,profile index and minimum thickness)are obtained,and an initial Kriging model is then constructed on the basis of these sample data.Finally,the initial Kriging model is updated with MP(minimizing the predicted objective func⁃tion)infill-sampling criterion and genetic algorithm,and the optimal design is obtained via the final Kriging model.The proposed method is then utilized to optimize the profile design of a diaphragm in a helicopter trans⁃mission system,and the results show that the static stress and dynamic stress of the critical point for the opti⁃mized diaphragm are decreased by 18.7%and 40.7%respectively compared with the original diaphragm de⁃sign,and thus the high-cycle fatigue safety factor of the optimized diaphragm is increased by 52.8%.The pro⁃posed method can be used to improve the fatigue performance of the diaphragm,which provides a reference for the design of the diaphragm profile.