拟合二次方程球用于测量与评定全球球度的研究

应用科学学报 ›› 1997, Vol. 15 ›› Issue (1): 41-47.

拟合二次方程球用于测量与评定全球球度的研究

朱训生, 任新生, 刘国良, 薛秉源

上海交通大学

收稿日期:1995-06-14 修回日期:1995-10-27 出版日期:1997-03-31 发布日期:1997-03-31
作者简介:朱训生:教授,上海交通大学机械系,上海 200030
基金资助:
国家教委博士点基金

STUDY ON SPHERICITY MEASUREMENT AND EVALUATION OF A SPHERE BY FITTING A QUTARATIC EQUATION SPHERE

ZHU XNUNSHENG, REN XINSHENG, LIU GUOLIANG, XUE BINGYUAN

Shanghai Jiao-tong University, Shanghai 200030) A

Received:1995-06-14 Revised:1995-10-27 Online:1997-03-31 Published:1997-03-31

摘要/Abstract

摘要： 该文指出球度评定的LSS法对坐标平移(或刚体平移)不具不变性,故将平面上二次方程拟合圆的方法发展为空间二次方程拟合球的方法(QES法),得出了QES法对坐标变换(或刚体运动变换)具有不变性。首次提出了测全球时球翻转所产生的二次定位误差的消除方法和二次方程球度误差的计算公式。

关键词: 二次方程球, 全球球度误差, 球度评定

Abstract: This paper indicates that LSS (least square sphere) sphericity error doesn't keep invariant with respect to coordinates translation but QES (quadratic equation sphere) sphericity error can. Method which can efficiently eliminate the twice positional error as a result of turning over the sphere for its full shape test has been firstly. proposed, and the formula of QES sphericity error has been esta-blished by means of QES fitting.

Key words: quadratic equation sphere, full sphere sphericity, sphericity evaluation

朱训生, 任新生, 刘国良, 薛秉源. 拟合二次方程球用于测量与评定全球球度的研究[J]. 应用科学学报, 1997, 15(1): 41-47.

ZHU XNUNSHENG, REN XINSHENG, LIU GUOLIANG, XUE BINGYUAN. STUDY ON SPHERICITY MEASUREMENT AND EVALUATION OF A SPHERE BY FITTING A QUTARATIC EQUATION SPHERE[J]. Journal of Applied Sciences, 1997, 15(1): 41-47.