Semidefinite programming for Chebyshev fitting of spatial straight line with applications to cutter location planning and tolerance evaluation

被引：26

作者：

Ding, Ye ^{[1
]}

Zhu, LiMin ^{[1
]}

Ding, Han ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, State Key Lab Mech Syst & Vibrat, Sch Mech Engn, Shanghai 200240, Peoples R China

来源：

PRECISION ENGINEERING-JOURNAL OF THE INTERNATIONAL SOCIETIES FOR PRECISION ENGINEERING AND NANOTECHNOLOGY | 2007年 / 31卷 / 04期

基金：

中国国家自然科学基金;

关键词：

spatial straight line fitting; computational metrology; semidefinite programming (SDP); interior-point method; flank milling; cutter location planning; spatial straightness error;

D O I：

10.1016/j.precisioneng.2007.04.001

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a novel model for fitting of spatial straight line based on Chebyshev norm. The problem is firstly formulated as a minimax problem, and then reformulated as a semidefinite programming (SDP) problem, which could be solved by many interior-point algorithms. The application of the proposed approach to two problems arising from manufacturing engineering, i.e. planning of the initial location of cylindrical cutter for flank milling and evaluation of the spatial straightness error, is discussed. Examples and numerical simulations illustrate the efficiency of the novel model. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：364 / 368

页数：5

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