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应用科学学报 ›› 2005, Vol. 23 ›› Issue (1): 99-102.

• 论文 • 上一篇    下一篇

基于分数布朗运动的转轴径向回转误差分析

王凯, 李言, 郑建明   

  1. 西安理工大学机械与精密仪器工程学院, 陕西西安 710048
  • 收稿日期:2004-02-11 修回日期:2004-06-21 出版日期:2005-01-31 发布日期:2005-01-31
  • 作者简介:王凯(1969-),男,河南郾城县人,讲师,硕士,E-mail:wangkai@xaut.edu.cn;李言(1960-),男,陕西彬县人,教授,博导.

Analyzing Rotor Rotating Error Using Fractional Brownian Motion

WANG Kai, LI Yan, ZHENG Jian-ming   

  1. School of Mechanical and Instrumental Engineering, Xi'an University of Technology, Xi'an 710048, China
  • Received:2004-02-11 Revised:2004-06-21 Online:2005-01-31 Published:2005-01-31

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摘要： 通过分析某精密转轴轴心径向回转误差运动轨迹的方差变化规律,证明该轴的回转运动具备了分数布朗运动的基本特征.继而文章采用无量纲的分形盒维数描述了该轴径向回转误差运动,并以其作为评价轴心运动轨迹复杂度的参数.最后根据赫斯特指数对该轴回转运动的稳定性进行了描述.

关键词: 分形盒维数, 方差, 赫斯特指数, 分数布朗运动

Abstract: According to variance changing laws of a precise rotor radial rotating error motion, it can be proved that the rotor's motion track is characterized by fractional Brownian motion.Then non-dimension fractal box counting dimension has been adopted to describe the rotor's radial rotating error motion, and it also be taken as a parameter to estimate the complexity of axes motion track.At last, Hurst exponent was adopted to describe the stability of axes rotating motion.

Key words: fractional Brownian motion, variance, fractal box counting dimension, Hurst exponent

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