• CN：11-2187/TH
  • ISSN：0577-6686
机械工程学报

机械工程学报 ›› 2017, Vol. 53 ›› Issue (3): 173-182.doi: 10.3901/JME.2017.03.173

• 数字化设计与制造 • 上一篇    下一篇

考虑零部件制造误差的精密主轴几何回转精度计算方法*

孙岩辉1，2, 洪军1，2, 刘志刚1，2, 郭俊康1，2   

  1. 1. 西安交通大学机械工程学院 西安 710049;
    2. 西安交通大学机械制造系统工程国家重点实验室 西安 710049
  • 出版日期:2017-02-05 发布日期:2017-02-05
  • 作者简介:

    作者简介：孙岩辉，男，1989年出生，博士研究生。主要研究方向为数字化设计与制造。

    E-mail：sunyanhui@stu.xjtu.edu.cn

    洪军(通信作者)，男，1968年出生，博士，教授，博士研究生导师。主要研究方向为数字化设计、人机界面设计、数字化装配技术以及服役状态在线监测技术。

    E-mail：jhong@mail.xjtu.edu.cn

  • 基金资助:
    * 国家科技重大专项资助项目(2015ZX04014021); 20160111收到初稿，20161110收到修改稿;

A Calculating Method for the Geometric Rotation Accuracy of Precision Spindles Considering the Manufacturing Errors of Component Parts

SUN Yanhui, LIU Zhigang1，2, GUO Junkang1，2   

  1. 1. School of Mechanical Engineering， Xi’an Jiaotong University， Xi’an 710049, 2. State Key Laboratory for Manufacturing Systems Engineering， Xi’an Jiaotong University， Xi’an 710049
  • Online:2017-02-05 Published:2017-02-05

PDF

421

摘要：

提出一种通过精密主轴的结构及零部件制造误差预测其几何回转精度的计算方法。首先利用零部件之间的约束定位关系建立精密主轴的有向图模型，以此筛选出误差累积路径及关键公差;进而使用小位移旋量对各关键公差建模，通过齐次坐标变换的方法分析了4种主轴零件之间典型配合的误差传递过程;再将误差累积路径上的关键公差联系起来，得到主轴几何回转误差分析模型;在此基础上，结合蒙特卡洛模拟仿真方法，统计分析得到主轴几何回转精度的变动范围，得到其公差值;继而通过灵敏度分析，获得对各零件公差对回转精度的贡献度大小，为公差设计结果的改进提供依据。结果表明，该方法可以有效预测精密主轴的几何回转精度以及各零件公差对其影响程度。

关键词: 关键公差, 几何回转精度, 累积路径, 误差传递, 有向图

Abstract:

A method calculating the geometric rotation accuracy of a precision spindle is proposed. Both the spindle structure and the manufacturing errors of component parts are involved. Firstly, a directed graph of the spindle is built according to the relation among the parts. Error accumulating path and key tolerances are selected based on the graph. Then, key tolerances are modeled with small displacement torsors and the variation propagation within 4 kinds of typical assembly relation between parts is analyzed with the homogeneous coordinate transformation method. Next, key tolerances along the path are linked to complete the geometric rotation error analysis model of the spindle. On this basis, combining with the Monte Carlo method, the vibration ranges of the rotation errors are obtained by statistical analysis and the tolerances are reached. The contribution degree of every tolerance to geometric rotation accuracy is calculated through sensitivity analysis to improve the tolerance allocation. The result shows that this method can predict the geometric rotation accuracy of a high precision spindle and the contribution rate of each tolerance to it effectively.

Key words: accumulating path, geometric rotation accuracy, key tolerance, variation propagation, directed graph

版权所有 © 2019 《机械工程学报》编辑部 | 京icp备05055788号-40