基于蒙特卡洛方法的滚珠丝杠副运动可靠性分析  

Motion Reliability Analysis of Ball Screw Pair Based on Monte Carlo Method

作　　者：王丹[1] 周亮[1] 孙志礼[1] 杜金成[1] 

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2012年第8期1179-1181,1185,共4页Journal of Northeastern University(Natural Science)

基　　金：国家科技重大专项基金资助项目(2009ZX04014-014)

摘　　要：对滚珠丝杠副的可靠性分析有利于提高机床的传动精度.用赫兹空间接触理论对滚珠丝杠副的接触变形进行分析,得到了滚珠丝杠副的接触变形量函数.在无法预先确定变形量函数分布类型的条件下,用蒙特卡洛数字仿真方法,实现了滚珠丝杠副运动可靠性分析.用MATLAB生成随机数,并对各参数进行随机抽样,得到滚珠丝杠副的运动误差和运动可靠度值,并得到丝杠各加工尺寸参数精度等级与可靠度的关系曲线.对加工工艺与尺寸误差等因素对滚珠丝杠副运动可靠性的影响作出评价.Reliability analysis of the ball screw pair is helpful to the improvement of transmission precision of machine tools. Based on Hertz contact theory, the contact deformation of the ball screw pair was analyzed, with the contact deformation function gotten. Without the distribution function of the contact deformation, the motion reliability of the ball screw pair was analyzed by the Monte Carlo simulation. Generating random numbers using MATLAB and sampling the random numbers at random, the kinematic error of the ball screw pair and motion reliability value were obtained, and the relationship between accuracy class of each part size and reliability value of ball screw pair was plotted. Evaluation of the motion reliability of the ball screw was given, which was related to size error.

关 键 词：滚珠丝杠副 运动可靠性 蒙特卡洛法 MATLAB 随机抽样 

分 类 号：TH13[机械工程—机械制造及自动化]