基于极变换与稀疏响应面的滚动轴承游隙可靠性分析

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.

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

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.