基于坐标转换的回转表面形状误差最小二乘评定

中国机械工程 ›› 2014, Vol. 25 ›› Issue (4): 522-526.

基于坐标转换的回转表面形状误差最小二乘评定

陈磊磊;黄美发;肖萌萌;宫文峰

桂林电子科技大学,桂林,541004

出版日期:2014-02-25 发布日期:2014-03-05
基金资助:
国家自然科学基金资助项目(50865003);广西科学研究与技术开发计划资助项目（桂科合10100022-1）;广西制造系统与先进制造技术重点实验室主任课题(桂科能11-031-12_004);广西教育厅科研项目(200911LX104)

Calculation of Rotation Surface Form Errors by Least Square Based on Coordinate Transformation

Chen Leilei;Huang Meifa;Xiao Mengmeng;Gong Wenfeng

Guilin University of Electronic Technology,Guilin,Guangxi,541004

Online:2014-02-25 Published:2014-03-05
Supported by:
National Natural Science Foundation of China（No. 50865003）;Guangxi Provincial Scientific Research Project of Ministry of Education of China（No. 200911LX104）

摘要/Abstract

摘要：

针对回转表面评定中最小二乘拟合对迭代初值依赖性强、对回转轴方向和测点分布具有限制的不足,提出了一种基于最小二乘法的回转表面通用评定方法,该方法通过被测表面上离散点坐标的旋转和平移,将非线性优化模型线性化。通过实例进行了试验验证,结果表明,该方法简单易行，鲁棒性好，可快速有效正确地评定任意轴线方向的回转表面形状误差。

关键词: 回转表面, 最小二乘评定, 坐标系转换, 形状误差

Abstract:

This paper presented a common least square fitting method to improve the dependency on iteration initial value and reduce limit on the axial direction. This method translated nonlinear optimization model into a linear optimization model using coordinate transformation method. An example was presented to validate the method given herein. The results indicate that this method can evaluate the form errors of rotation surface quickly and accurately with no limit on the axial direction.

Key words: rotation surface, least square fitting, coordinate transformation;form error

中图分类号:

陈磊磊, 黄美发, 肖萌萌, 宫文峰. 基于坐标转换的回转表面形状误差最小二乘评定[J]. 中国机械工程, 2014, 25(4): 522-526.

Chen Leilei, Huang Meifa, Xiao Mengmeng, Gong Wenfeng. Calculation of Rotation Surface Form Errors by Least Square Based on Coordinate Transformation[J]. China Mechanical Engineering, 2014, 25(4): 522-526.

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