精密球轴承不可重复跳动影响主轴动特性的预测  

Prediction model of spindle dynamic characteristics affected by non-repetitive run-out of precision ball bearing and its application

作　　者：袁幸[1] 朱永生[1] 洪军[2] 张优云[1] 

机构地区：[1]西安交通大学润滑理论及轴承研究所,西安710049 [2]西安交通大学机械制造系统工程国家重点实验室,西安710049

出　　处：《吉林大学学报（工学版）》2012年第2期382-387,共6页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家科技重大专项项目(2009ZX4001-022);'863'国家高技术研究发展计划项目(2009AA04Z147);国家自然科学基金项目(50935006)

摘　　要：将精密球轴承不可重复跳动(NRRO)的研究引入到主轴系统分析中,阐述了主轴系统NRRO的概念。应用滚动轴承几何学、弹性力学和滚道控制论,给出了高速角接触球轴承由内圈、外圈、钢球几何误差与球数变化所引起的NRRO的数值计算公式。为了在设计阶段揭示NRRO对精密主轴的影响规律,建立了考虑NRRO效应的主轴系统动态预估模型。计算实例和理论分析表明:球轴承中当一个钢球误差较大时,NRRO值随着球数增加而降低;内、外圈的几何误差对系统NRRO的影响较小;钢球本身的表面几何误差对系统NRRO的影响比较显著。针对现有轴系设计方法的不足之处,在预估模型基础上,提出了基于响应面的主轴系统NRRO抑制设计方法,为精密轴承系统研究提供了一定的理论依据和参考。The concept of non-repetitive run-out （NRRO） of the precision ball bearing was defined and introduced into the spindle system investigation. The numerical calculation formulas of NRRO caused by the geometric errors of inner and outer rings, and the ball, as well as the ball number variation of the high speed corner contact ball bearing were derived based on the rolling bearing geometry, the elasticity theory and the raceway control theory. A dynamic prediction model was built for the spindle system to consider the effect of NRRO to reveal the impact of NRRO on the precision spindle behavior in the design stage. The calculation examples and the theoretical analysis showed that when only one ball has large error, NRRO reduces with the increase of number of balls in a rolling bearing, the effect of geometric errors in the inner and outer rings on NRRO is small,and the effect of geometric error of the ball surface is significant. On the basis of the proposed prediction model, a design method to restrain NRRO of the spindle system was proposed based on the response surface to overcome theshortcoming in this aspect of the existing deign method, providing a theoretical basis and references for the study of the precision bearing system.

关 键 词：机械设计 不可重复跳动 精密球轴承 主轴系统 响应面 

分 类 号：TH123[机械工程—机械设计及理论]