Minimum zone evaluation of sphericity deviation based on the intersecting chord method in Cartesian coordinate system

被引:12
作者
Liu Fei [1 ]
Xu Guanghua [1 ,2 ]
Liang Lin [1 ,3 ]
Zhang Qing [1 ,3 ]
Liu Dan [1 ,3 ]
机构
[1] Xi An Jiao Tong Univ, Sch Mech Engn, 28 Xianning West Rd, Xian 710049, Peoples R China
[2] Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710054, Peoples R China
[3] Xi An Jiao Tong Univ, Key Lab, Educ Minist Modern Design & Rotor Bearing Syst, Xian 710049, Peoples R China
来源
PRECISION ENGINEERING-JOURNAL OF THE INTERNATIONAL SOCIETIES FOR PRECISION ENGINEERING AND NANOTECHNOLOGY | 2016年 / 45卷
基金
中国国家自然科学基金;
关键词
Sphericity deviation; Minimum zone reference spheres; Intersecting chord method; Cartesian coordinates; COMPUTATIONAL GEOMETRIC TECHNIQUES; FORM ERROR;
D O I
10.1016/j.precisioneng.2016.02.016
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Along with the developments of manufacturing and machining technology, spherical parts with high precision are widely applied to many industrial fields. The high-quality spherical parts depend not only on the design and machining techniques but also on the adopted measurement and evaluation approaches. This paper focuses on the minimum zone evaluation model of sphericity deviation in Cartesian coordinate system. A new method, i.e. intersecting chord method, is proposed to solve the problem of constructing 3 + 2 and 2 + 3 models of the minimum zone reference spheres (MZSP). The modelling method employs intersecting chords rather than characteristic points to construct the geometrical structure of evaluation model. Hence, the efficiency of processing data is improved without compromising the accuracy of deviation evaluation. In the modelling process, the two concentric spheres of minimum zone model are simplified as an intersecting chords structure, the virtual centre generated by the intersecting chords can be used to judge whether the searched object is the maximum object or not, which decrease the positioning error, of the minimum zone centre and reduce the difficulty of constructing models. To test and verify the performances of intersecting chord method, two experiments are performed to confirm the effectiveness of the proposed method, and the results indicate that the proposed method is more trustworthy against accuracy and computation time than other methods required to achieve the same results. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:216 / 229
页数:14
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