东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2017, Vol. 38 ›› Issue (11): 1579-1583.DOI: 10.12068/j.issn.1005-3026.2017.11.013

• 机械工程 • 上一篇    下一篇

基于极变换与稀疏响应面的滚动轴承游隙可靠性分析

李皓川1,2， 孙志礼1， 冯吉路1， 徐宇豪1   

  1. (1. 东北大学 机械工程与自动化学院， 辽宁 沈阳110819; 2. 中国航发沈阳发动机研究所， 辽宁 沈阳110015)
  • 收稿日期:2016-06-06 修回日期:2016-06-06 出版日期:2017-11-15 发布日期:2017-11-13
  • 通讯作者: 李皓川
  • 作者简介:李皓川(1987-)，男，吉林双辽人，东北大学博士研究生; 孙志礼(1957-)，男，山东巨野人，东北大学教授，博士生导师.
  • 基金资助:
    “高档数控机床与基础制造装备”科技重大专项资助项目(2013ZX04011011)； 中央高校基本科研业务费专项资金资助项目(N140306004).

Reliability Analysis of Rolling Bearing Clearance Based on Sparse Response Surface and Polar Transformation

LI Hao-chuan1,2， SUN Zhi-li1， FENG Ji-lu1， XU Yu-hao1   

  1. 1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China; 2. AECC Shenyang Engine Institute， Shenyang 110015， China.
  • Received:2016-06-06 Revised:2016-06-06 Online:2017-11-15 Published:2017-11-13
  • Contact: LI Hao-chuan
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摘要： 基于极变换提出一种选点方法，并结合稀疏响应面对滚动轴承游隙进行可靠性分析.构建响应面时，根据极变换后安全与失效类样本点在平面内的聚集性与可区分性，每一步迭代时增加临界样本点并对其进行拟合.为了避免过拟合，根据误差预测标准以及交叉验证方法对多项式响应面中最重要的项进行筛选.在建立滚动轴承游隙可靠性问题的极限状态函数时，考虑过盈装配、温度变化和离心力因素的影响，并基于有限元方法计算工作游隙.最后根据显式化的极限状态函数计算了轴承游隙可靠度.研究内容不仅为滚动轴承的设计提供了理论依据，而且为多维隐式可靠性问题的分析提供了一种参考途径.

关键词: 滚动轴承游隙, 极变换, 误差预测, 稀疏响应面, 有限元

Abstract: A sample selecting method was proposed based on polar transformation， and reliability analysis of rolling bearing clearance was performed combining the method and sparse response surface. In every step of response surface construction， the critical samples were added and fitted according to the clustering feature and distinguishability of safe and failure classes of samples in a plane after polar transformation. The most significant terms of polynomial response surface were chosen according to error prediction criteria and cross-validation method. The limit state function of rolling bearing clearance reliability problem was built comprehensively considering the factors of interference fit， temperature variation and centrifugal force， and the working clearance was calculated employing the finite element method. Finally， the reliability of bearing clearance was calculated based on the explicit style of limit state function. This study provides theoretical basis for rolling bearing design and an efficient way for analyzing implicit reliability problems with multiple dimensions.

Key words: rolling bearing clearance, polar transformation, error prediction, sparse response surface, finite element

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