第一作者 蒋喜 男，硕士生，1987年生

通信作者 刘宏昭 男，教授，博士生导师，1954年生

基于Bayes法的电主轴极小子样可靠性研究

蒋喜, 刘宏昭，訾佼佼，原大宁，刘丽兰

(西安理工大学 机械与精密仪器工程学院，西安710048)

摘要：针对长寿命的磨削电主轴极小子样的可靠性评估问题，提出了Bayes结合虚拟增广样本的分析方法。首先，在Bayes法基本流程的指导下，研究了基于Bayes法的磨削电主轴可靠性评估方法。根据定时截尾试验的原则对电主轴进行可靠性试验，应用Bayes法结合磨削电主轴试验样本的可靠性试验数据，综合虚拟增广样本法对其可靠性进行评估，最终获得电主轴的可靠性评估结果。最后，将基于Bayes法与基于伪寿命分布法的磨削电主轴极小子样可靠性评估结果进行比较，以验证基于Bayes法可靠性评估理论的合理性。

关键词：电主轴；极小子样；Bayes；虚拟增广；可靠性

基金项目：国家科技重大专项计划资助项目(2010ZX04014-012)；国家自然科学基金(51275404)；陕西省自然科学基金(2012JQ7011)；陕西省重点学科建设专项资金资助项目

收稿日期：2013-10-21修改稿收到日期：2014-01-28

中图分类号:TH133.2文献标志码： A

Extremely small sample’s reliability of a motorized spindle based on Bayes method

JIANGXi,LIUHong-zhao,ZIJiao-jiao,YUANDa-ning,LIULi-lan(School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, China)

Abstract:Aiming at the reliability evaluation of a long life grinding motorized spindle’s extremely small sample, a Bayes method combined with virtual augmented sample was proposed. Firstly, under the guidance of the basic process of Bayes method, the reliability evaluation method of a grinding motorized spindle based on Bayes method was studied. According to the principle of timing truncation tests, the reliability tests of the motorized spindle were conducted. Then, Bayes method combined with the reliability testing data of the grinding motorized spindle’s testings sample and the virtual augmented sample method was applied to assess the reliability of the spindle. Furthermore, the reliability evaluation results of the motorized spindle were obtained. Finally, the reliability evaluation results of the grinding motorized spindle based on Bayes method and those based on the false life’s distribution method were compared to verify the correctness of the proposed method.

Key words: motorized spindle; extremely small sample; Bayes; virtual augmented; reliability

磨削电主轴已较为普遍地被应用于数控加工中心，以实现机械加工的高速化和超精密化。作为数控加工中心的核心部件，磨削电主轴可靠性就成为了衡量整个数控加工中心可靠性的重要指标之一。对磨削电主轴的可靠性进行试验和评估，能够掌握其在实际使用过程中实现预定功能的能力，同时可以指导设计人员对其结构和相关参数进行改善，从而不断提高磨削电主轴的可靠性。……