应用科学学报 ›› 2004, Vol. 22 ›› Issue (3): 342-346.

• 论文 • 上一篇    下一篇

非整圆轮廓的谐波估计方法研究

赵前程, 邓善熙, 梁发云   

  1. 合肥工业大学仪器仪表学院 安徽合肥 230009
  • 收稿日期:2003-05-29 修回日期:2003-10-28 出版日期:2004-09-30 发布日期:2004-09-30
  • 作者简介:赵前程(1969-),男,安徽肥西人,副教授,博士生;邓善熙(1940-),男,广东南海人,教授,博导.
  • 基金资助:
    合肥工业大学校基金资助项目(04-43)

A Research on the Estimation of Harmonics of a Non-circular Arc

ZHAO Qian-cheng, DENG Shan-xi, LIANG Fa-yun   

  1. College of Instrumentation Science, Hefei University of Technology, Hefei 230009, China
  • Received:2003-05-29 Revised:2003-10-28 Online:2004-09-30 Published:2004-09-30

摘要: 基于RSM(响应表面法)方法建立圆轮廓的谐波模型,分析了模型的病态特征,提出了改善模型病态的方法,最后通过插值和迭代的方法将RSM模型的求解与FFT计算方法联系起来,得到了满足要求的非整圆谐波特征的估计.

关键词: 迭代方法, 响应表面法, 谐波分析

Abstract: The harmonic characteristics of a circle profile can be estimated by FFT,which, however, cannot be used in the case of a non-circular arc because the sampling points around the whole circle cannot be obtained this way. In this paper, a harmonic model of a circular arc based on RSM (response surface method) is built up; the morbidity of the model is studied; and the method to improve the model is advanced. By means of interpolation and iteration, RSM is combined with FFT to estimate the harmonic characteristics of a circular arc. As harmonic characteristics are formed in the manufacturing process and affect the performance of the work pieces and the measuring uncertainty, our research in this regard is of considerable importance to other researchers in the same field.

Key words: harmonic analysis, interpolation, RSM

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