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Proceedings Paper

A simple method for minimum zone sphericity evaluation
Author(s): Jian Mei; Qiangxian Huang; Longlong Yue; Rongjun Cheng; Liansheng Zhang; Chuanzhi Fang; Chaoqun Wang; Hongli Li
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Paper Abstract

This paper mainly focuses on the sphericity evaluation based on the minimum zone sphere (MZS) method in the Cartesian coordinate system. An asymptotic search method is proposed to search for the homocentric centre of MZS model and calculate the sphericity error. The search process of the proposed method consists two parts: geometric area search is implemented to obtain a quasi-MZS centre (close to the MZS centre) and 3+2 and 2+3 mathematical models dominating the minimum zone sphere are solved to obtain the MZS centre. The geometric area search is employed to fast convergence to the quasi-MZS centre by constructing a search sphere model. Some characteristic points distributed on the search sphere are selected to determine the search direction. A threshold is set to terminate the search process and the quasi-MZS centre is determined as a result. The quasi-MZS centre is employed as a reference centre to solve the 3+2 and 2+3 models to determine the MZS centre. According to the minimum conditions, the mathematical models are established to solve the two models. Then the judgment is implemented to ensure all the measured points are enveloped between the two homocentric spheres. As a result, the centre of two homocentric spheres is the MZS centre. The MZS sphericity error can be obtained as well. To verify the performance of the proposed method, simulation experiments and comparison experiments are implemented. The results demonstrated that the proposed method is effective, reliable and meet the requirement of sphericity evaluation.

Paper Details

Date Published: 13 November 2019
PDF: 5 pages
Proc. SPIE 11343, Ninth International Symposium on Precision Mechanical Measurements, 113430J (13 November 2019); doi: 10.1117/12.2547980
Show Author Affiliations
Jian Mei, Hefei Univ. of Technology (China)
Qiangxian Huang, Hefei Univ. of Technology (China)
Longlong Yue, Hefei Univ. of Technology (China)
Rongjun Cheng, Hefei Univ. of Technology (China)
Liansheng Zhang, Hefei Univ. of Technology (China)
Chuanzhi Fang, Hefei Univ. of Technology (China)
Chaoqun Wang, Hefei Univ. of Technology (China)
Hongli Li, Hefei Univ. of Technology (China)


Published in SPIE Proceedings Vol. 11343:
Ninth International Symposium on Precision Mechanical Measurements
Liandong Yu, Editor(s)

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