东北大学学报:自然科学版 ›› 2019, Vol. 40 ›› Issue (10): 1442-1447.DOI: 10.12068/j.issn.1005-3026.2019.10.014

• 机械工程 • 上一篇    下一篇

车削颤振时变可靠性分析

恩溪弄1, 张义民2, 黄贤振1   

  1. (1. 东北大学 机械工程与自动化学院, 辽宁 沈阳110819; 2. 沈阳化工大学 装备可靠性研究所, 辽宁 沈阳110142)
  • 收稿日期:2019-01-12 修回日期:2019-01-12 出版日期:2019-10-15 发布日期:2019-10-10
  • 通讯作者: 恩溪弄
  • 作者简介:恩溪弄(1989-),女,辽宁沈阳人,东北大学博士研究生; 张义民(1958-),男,吉林长春人,沈阳化工大学教授,博士生导师,教育部“长江学者奖励计划”特聘教授; 黄贤振(1982-),男,山东定陶人,东北大学教授,博士生导师.
  • 基金资助:
    国家自然科学基金资助项目(51575094,U1708254).

Time-Varying Reliability Analysis of Turning Chatter

EN Xi-nong1, ZHANG Yi-min2, HUANG Xian-zhen1   

  1. 1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China; 2. Equipment Reliability Institute, Shenyang University of Chemical Technology, Shenyang 110142, China.
  • Received:2019-01-12 Revised:2019-01-12 Online:2019-10-15 Published:2019-10-10
  • Contact: ZHANG Yi-min
  • About author:-
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摘要: 考虑车削加工过程中刀具磨损对切削力系数的影响,用Gamma过程描述了切削力系数随时间的变化过程,并建立了车削颤振时变可靠性模型.提出了主动学习的Kriging模型与基于首次超越的子集模拟相结合的时变可靠性分析方法(AK-SSFP).对某一车床建立车削颤振稳定性模型,分别采用Monte Carlo方法(MCS)、基于主动学习Kriging的Monte Carlo方法(AK-MCS)和AK-SSFP方法计算车削颤振时变可靠度.AK-SSFP方法的结果与MCS方法的结果一致性很好,且AK-SSFP方法减少了真实极限函数的调用次数并缩短了运算时间.AK-SSFP在保证精度的同时提高了计算效率,解决了车削加工系统颤振时变可靠度的计算问题.

关键词: 车削加工, 刀具磨损, 颤振时变可靠度, Kriging模型, 子集模拟

Abstract: Considering the influence of tool wear on the cutting force coefficient in turning, the Gamma process was used to describe the change of cutting force coefficient with time, and a time-varying reliability model of turning chatter was established. A time-varying reliability analysis method(AK-SSFP)combining the Kriging model of active learning with the subset simulation based on the first passage was proposed. A model of turning vibration stability was established for a lathe. The Monte Carlo method(MCS), the Monte Carlo method based on active learning Kriging(AK-MCS)and the AK-SSFP method were used to calculate the time-varying reliability of turning chatter. The results of the AK-SSFP method are in good agreement with the results of the MCS method, and the AK-SSFP method reduces the number of calls to the real limit function and shortens the computation time. AK-SSFP improves the calculation efficiency while ensuring the accuracy, and solves the calculation problem of time-varying reliability in turning chatter.

Key words: turning process, tool wear, time-varying reliability of turning chatter, Kriging model, subset simulation

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