A simple method for minimum zone sphericity evaluation

Jian Mei; Qiangxian Huang; Longlong Yue; Rongjun Cheng; Liansheng Zhang; Chuanzhi Fang; Chaoqun Wang; Hongli Li

doi:10.1117/12.2547980

13 November 2019 A simple method for minimum zone sphericity evaluation

Jian Mei, Qiangxian Huang, Longlong Yue, Rongjun Cheng, Liansheng Zhang, Chuanzhi Fang, Chaoqun Wang, Hongli Li

Proceedings Volume 11343, Ninth International Symposium on Precision Mechanical Measurements; 113430J (2019) https://doi.org/10.1117/12.2547980
Event: International Symposium on Precision Mechanical Measurements 2019, 2019, Chongqing, China

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.

Citation Download Citation

Jian Mei, Qiangxian Huang, Longlong Yue, Rongjun Cheng, Liansheng Zhang, Chuanzhi Fang, Chaoqun Wang, and Hongli Li "A simple method for minimum zone sphericity evaluation", Proc. SPIE 11343, Ninth International Symposium on Precision Mechanical Measurements, 113430J (13 November 2019); https://doi.org/10.1117/12.2547980

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available