滚珠丝杠副轴向静刚度确信可靠性建模与分析  

The Belief Reliability Modeling and Analysis of Axial Contact Static Stiffness of the Ball Screw

作　　者：龚梦辉 韩军[1] 周长光 冯虎田[1] 欧屹[1] GONG Meng-hui;HAN Jun;ZHOU Chang-guang;FENG Hu-tian;OU Yi(School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]南京理工大学机械工程学院,南京210094

出　　处：《组合机床与自动化加工技术》2022年第1期48-53,共6页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家重大专项(2018ZX040039001);国家自然科学基金(51905274)。

摘　　要：基于设计裕量、随机不确定性因子、认知不确定性因子,建立了双螺母滚珠丝杠副轴向静刚度确信可靠度模型。与蒙特卡洛法相比,考虑认知不确定性后可靠度变小。基于确信可靠性模型,对随机不确定性因子和认知不确定性因子进行了灵敏度分析,发现在可靠性提升前期随机不确定性对其影响较大,后期认知不确定性影响较大,因此,丝杠设计前期应以减少随机不确定性为主,后期应以减少认知不确定性为主,为确保可靠度大于0.9,须保证认知不确定因子小于0.15。This paper proposed a new belief reliability model of the axial contact stiffness for double-nut ball screws considering both the AU and EU,in which the design margin,the aleatory uncertainty factor(AUF),and the epistemic uncertainty factor(EUF)were analyzed and obtained.Simulation results show that,the reliability calculated by the present model is smaller.Additionally,both the sensitivity of the AUF and the EUF in the proposed mode were calculated,it illustrates that the influence of AU on reliability is greater in previous stage and the influence of AU will become greater in latter stage,which provides a new method to improve reliability,Therefore,in previous stage of screw design,AU should be reduced,and in latter stage,EU should be reduced.To ensure that the ball screw reliability is greater than 0.9,the EUF must be less than 0.15.

关 键 词：滚珠丝杠副 刚度 认知不确定性 确信可靠性 不确定理论 

分 类 号：TH165[机械工程—机械制造及自动化] TG506[金属学及工艺—金属切削加工及机床]