考虑参数不确定性的滚珠丝杠副耐磨损确信可靠性建模与分析  

Reliability modeling and analysis of ball screw wear resistance confidence considering parameter uncertainty

作　　者：朱云开[1] ZHU Yun-kai(School of Mechanical and Electrical Engineering,the City Vocational College of Jiangsu,Nantong 226006,China)

机构地区：[1]江苏城市职业学院机电工程学院,江苏南通226006

出　　处：《机电工程》2023年第2期275-283,共9页Journal of Mechanical & Electrical Engineering

基　　金：国家开放大学“十三五”规划课题资助项目(G18F1409Y)。

摘　　要：在传统的滚珠丝杠副的耐磨损可靠性计算中,通常只考虑随机不确定性,而未考虑认知不确定性,针对这一问题,基于不确定理论,建立了一种既考虑参数随机不确定性,又考虑认知不确定性的滚珠丝杠副耐磨性可靠度模型。首先,基于修正的Archard理论,建立了滚珠丝杠副的耐磨性模型;然后,通过引入不确定理论,建立了滚珠丝杠副的耐磨损确信可靠性模型,针对模型中耐磨损可靠度不确定分布无法求出的问题,提出了一种两层参数不确定仿真算法;最后,通过实例对所建立的可靠度模型和不确定仿真算法进行了分析计算,并分析了各参数不确定对丝杠耐磨损可靠性的影响。研究结果表明:考虑认知不确定性时的确信可靠度为0.656522,而采用不考虑认知不确定性的蒙特卡洛法求得的可靠度为0.77007;从计算结果可得,参数的不确定性会降低滚珠丝杠副的可靠度,导程角的不确定性对耐磨损可靠度的影响最大,其次是节圆直径、磨损系数、接触角、轴向载荷、适应比,滚珠直径的影响最小。该研究结果可以为滚珠丝杠副的优化设计和可靠性提升提供参考。Aiming at the problem that the aleatory uncertainty is only considered in the wear resistance reliability calculation of ball screw pair,and the epistemic uncertainty is not considered.Aiming at this problem,based on uncertainty theory,a reliability model of wear resistance of ball screw pair was established which considered both random uncertainty of parameters and cognitive uncertainty.Firstly,based on the modified Archard theory,the wear resistance model of the ball screw pair was established.Then,by introducing the uncertainty theory,the wear-resistant reliability model of the ball screw pair was established.In view of the problem that the uncertainty distribution of the wear-resistant reliability in the model could not be obtained,a two-layer parameter uncertainty simulation algorithm was proposed.Finally,the established reliability model and the uncertainty simulation algorithm were analyzed and calculated through an example,and the influence of the uncertainty of each parameter on the wear-resistant reliability of the ball screw was analyzed.The results show that the reliability is 0.656522 when the aleatory uncertainty is considered,and the reliability is 0.77007 by Monte Carlo method without aleatory uncertainty.From the calculation results,it is concluded that the uncertainty of the parameters can reduce the reliability of the ball screw.The uncertainty of the guide angle has the greatest influence on the wear resistance reliability,followed by the pitch diameter,wear coefficient,contact angle,axial load and adaptation ratio,and the influence of the ball diameter is the smallest.The research results can provide a reference for the optimal design and reliability improvement of the ball screw pair.

关 键 词：摩擦与磨损 机械传动机构 传动系统可靠性 耐磨损可靠性 确信可靠度 认知不确定性 

分 类 号：TH117.1[机械工程—机械设计及理论] TH132[金属学及工艺—金属切削加工及机床] TG659