基于Kriging模型的锥形气体静压轴承优化设计  

Optimal Design of Conical Hydrostatic Gas Bearings Based on Kriging Model

作　　者：张文栋 石明辉 秦东晨[1] 袁峰[1] 陈江义[1] ZHANG Wendong;SHI Minghui;QIN Dongchen;YUAN Feng;CHEN Jiangyi(School of Mechanical and Power Engineering,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学机械与动力工程学院,郑州450001

出　　处：《轴承》2025年第1期14-22,共9页Bearing

基　　金：国家重点研发计划资助项目(2022YFB3402704);国家自然科学基金资助项目(52205222)。

摘　　要：针对如何提升小孔节流式锥形气体静压轴承综合性能的问题,以气浮电主轴用锥形气体静压轴承承载力最大、气体消耗量最小为优化目标,考虑轴承尺寸和工况要求的约束条件,采用最优拉丁超立方法选取设计点,通过有限元法计算样本集,利用2种提高精度的加点策略构建针对优化目标的改进Kriging代理模型,最终使用非支配排序遗传算法获得最优解集。根据工况要求,通过权重系数法提出了3种优化方案,优化方案的气体消耗量分别降低至初始设计的28.85%,56.08%和73.87%;承载力则分别提升至初始设计的1.14,2.16和2.44倍;3种优化方案在中高转速下的性能提升会更加明显。另外,提高轴承锥度虽然能提升承载力,但同时也会增加气体消耗量。To enhance the comprehensive performance of conical hydrostatic gas bearings with small orifice throttle,with the optimization objectives of maximizing load capacity and minimizing gas consumption of conical hydrostatic gas bearings for air floating motorized spindles,the constraints of bearing dimensions and operating conditions are considered.The optimal Latin hypercube sampling method is adopted to select design points,and a sample set is calculated using finite element method.The improved Kriging surrogate model for optimization objectives is established by using two point-adding strategies to improve the accuracy.Finally,the optimal solution set is obtained by using non-dominated sorting genetic algorithm.According to requirements of operating conditions,three optimization schemes are proposed using a weight coefficient method.The gas consumption of optimization schemes is reduced to 28.85%,56.08%,and 73.87%of initial design respectively,while the load capacity is increased to 1.14,2.16 and 2.44 times of initial design respectively.The performance improvement at medium to high speeds will be more significant for three optimization schemes.Although increasing the bearing conicity can improve the load capacity,it will also increase the gas consumption.

关 键 词：滑动轴承 气体静压轴承 承载力 耗气量 有限元分析 优化设计 

分 类 号：TH133.31[机械工程—机械制造及自动化] TH133.36