摘要
用误差补偿的方法提高转台分度精度是一种经济、有效的技术措施,用比较法对转台的分度误差进行了检定,并分析了其测量不确定度;从转台分度误差的来源出发,根据转台分度误差的周期性等特点和谐波分析的结果,并结合最小二乘法、三次样条插值、傅里叶级数拟合3种模型的特点,通过分析,选择傅里叶级数作为转台分度误差的补偿模型,并对3种模型的拟合效果进行了比较.应用傅里叶级数模型对精度为17.82″的转台进行补偿,补偿后转台的分度误差最大值为2.36″,从而验证了分度误差模型的正确性和可行性.
Error compensation method is an economical and effective technical measure to improve the indexing accu-racy for turntable. The indexing error was checked by comparison method, and the measurement uncertainty was alsoanalyzed in this paper. According to the periodicity of indexing error and the harmonic analysis results, and combinedwith the characteristics of least square method, cubic spline interpolation and Fourier series, this paper chooses Fou-rier series as the compensation model for turntable indexing error and compares the fitting effects of the three models.By using the Fourier series, the maximum indexing error is 2.36＂ after compensation the turntable with 17.82＂,which has verified the validity and feasibility of the compensation model.
出处
《天津大学学报（自然科学与工程技术版）》
EI
CAS
CSCD
北大核心
2014年第6期524-529,共6页
Journal of Tianjin University：Science and Technology
基金
天津市自然科学基金资助项目(10JCYBJC06600)
关键词
分度误差
检定
数据拟合
傅里叶级数
补偿模型
indexing error
check
data fitting
Fourier series
compensation model
