东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2015, Vol. 36 ›› Issue (8): 1155-1159.DOI: 10.12068/j.issn.1005-3026.2015.08.020

• 机械工程 • 上一篇    下一篇

基于有限元法的数控车床主轴系统频率可靠性分析

张义民， 王昊， 曹辉， 杨周   

  1. (东北大学 机械工程与自动化学院， 辽宁 沈阳110819)
  • 收稿日期:2014-07-01 修回日期:2014-07-01 出版日期:2015-08-15 发布日期:2015-08-28
  • 通讯作者: 张义民
  • 作者简介:张义民(1958-)，男，吉林长春人，东北大学教授，博士生导师，教育部“长江学者奖励计划”特聘教授.
  • 基金资助:
    国家自然科学基金资助项目(51135003，U1234208)； 国家重点基础研究发展计划项目(2014CB046303)； “高档数控机床与基础制造装备”科技重大专项(2013ZX04011-011)； 机械系统与振动国家重点实验室开放课题(MSV201402)； 中央高校基本科研业务费专项资金资助项目(N130503002)； 辽宁省高等学校优秀人才支持计划项目(LJQ2014030).

FEM-based Frequency Reliability Analysis of Spindle System of CNC Lathes

ZHANG Yi-min， WANG Hao， CAO Hui， YANG Zhou   

  1. School of Mechanical Engineering & Automation，Northeastern University，Shenyang 110819，China.
  • Received:2014-07-01 Revised:2014-07-01 Online:2015-08-15 Published:2015-08-28
  • Contact: ZHANG Yi-min
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摘要： 基于有限元法参数化建立主轴系统三维有限元模型，将轴承简化为弹性支撑.考虑皮带轮和卡盘的影响，对整个主轴系统进行模态分析，得到主轴系统的前八阶固有频率及固有振型.进行临界转速分析，将工作转速与非零最低阶频率对应的转速进行比较，验证主轴设计的合理性.利用ISIGHT集成ANSYS进行正交试验设计并计算非零最低阶固有频率，将有公差范围要求的轴段的直径和长度以及基本物理参数作为随机变量，采用BP神经网络拟合主轴系统非零最低阶固有频率与随机变量之间的关系.利用一次二阶矩法计算主轴系统在特定转速下的可靠度并求解各随机参数的可靠性灵敏度.

关键词: 主轴系统, 有限元法, 神经网络, 可靠度, 可靠性灵敏度

Abstract: Based on the finite element method， we created a parametric three-dimension finite element model for spindle system and simplified the bearing as elastic support. Taken pulley and chuck into consideration， modal analysis of the entire system was conducted， thus the natural frequencies of the first eight vibrations and the corresponding spindle vibration modes were acquired. Critical speed of rotation was analyzed. We compared the working speed with rotation speed of the lowest non-zero set of frequency， hereby the rationality of design was verified. The ISIGHT integrated with ANSYS was used in designing orthogonal experiment and in calculating the lowest non-zero set of frequency. Diameters and length with tolerance requirements， and basic physical parameters considered as random variables， the BP neural network fitting method was used to get the relationship between the lowest non-zero set of frequency and random variables. The first order second moment (FOSM) method was used to calculate the spindle system reliability with specific rotation speed and reliability sensitivity of random variables.

Key words: spindle system, finite element method, neural network, reliability, reliability sensitivity

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