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频域法直线误差分离技术的周期性假设
引用本文:李自军,洪迈生,魏元雷,李济顺.频域法直线误差分离技术的周期性假设[J].同济大学学报(自然科学版),2001,29(12):1387-1390.
作者姓名:李自军  洪迈生  魏元雷  李济顺
作者单位:1. 上海交通大学机械工程学院,
2. 洛阳工学院机械工程系,
基金项目:国家自然科学基金资助项目(50075056)
摘    要:在频域法直接误差分离技术中,为了进行Forrier变换,通常都假设直线形状误差满足周期性条件,然而由于直线形状误差的非周期性及端点的非连续性,会引起高阶谐波分量失真等边缘效应。为此,提出了趋势线构造方法和对称延拓方法,通过创新新的周期性函数以解决频域法中直线形状误差的非周期现象,对比实验,验证了这两种方法的可行性。

关 键 词:频域三点法  周期函数  趋势线  对称延拓  直线误差分离  周期性假设  机械加工
文章编号:0253-374X(2001)12-1387-04
修稿时间:2001年8月1日

Periodic Assumption of Frequency Domain Method for Straightness Error Separation
LI Zi-jun ,HONG Mai-sheng ,WEI Yuan-lei ,LI Ji-shun.Periodic Assumption of Frequency Domain Method for Straightness Error Separation[J].Journal of Tongji University(Natural Science),2001,29(12):1387-1390.
Authors:LI Zi-jun  HONG Mai-sheng  WEI Yuan-lei  LI Ji-shun
Institution:LI Zi-jun 1,HONG Mai-sheng 1,WEI Yuan-lei 1,LI Ji-shun 2
Abstract:As a straightness error separation method,frequency domain method is usually used by assuming that the straightness error meets the periodic condition of Fourier transformation.However,the straightness error is aperiodic in fact,and the edges of measurement range are discontinuous,which will lead to the edge effects such as the distortion of the high-order harmonic components.To solve the influence of aperiodic straightness error,two new methods,i.e.constructing trend line method and symmetrical continuation method are presented in this paper.Moreover,the comparative experiments are carried out to prove the feasibility of the two methods.
Keywords:frequency domain three-point method  periodic function  trend line  symmetrical continuation  straightness error separation
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