Journal of Shanghai University (English Edition)

, Volume 13, Issue 1, pp 37–44

# Mathematical model for abrasive suspension jet cutting based on orthogonal test design

• Gui-hua Hu (胡贵华)
• Wen-hua Zhu (朱文华)
• Hong-xia Cai (蔡红霞)
• Chong Xu (徐 翀)
• Yu-jie Bai (柏余杰)
• Jun Cheng (程 俊)
• Jin Yuan (苑 进)
• Tao Yu (俞 涛)
Article

## Abstract

This paper describes the application of orthogonal test design coupled with non-linear regression analysis to optimize abrasive suspension jet (ASJ) cutting process and construct its cutting model. Orthogonal test design is applied to cutting stainless steel. Through range analysis on experiment results, the optimal process conditions for the cutting depth and the kerf ratio of the bottom width to the top width can be determined. In addition, the analysis of ranges and variances are all employed to identify various factors: traverse rate, working pressure, nozzle diameter, standoff distance which denote the importance order of the cutting parameters affecting cutting depth and the kerf ratio of the bottom width to the top width. Furthermore, non-linear regression analysis is used to establish the mathematical models of the cutting parameters based on the cutting depth and the kerf ratio. Finally, the verification experiments of cutting parameters’ effect on cutting performance, which show that optimized cutting parameters and cutting model can significantly improve the prediction of the cutting ability and quality of ASJ.

## Keywords

abrasive suspension jet (ASJ) orthogonal test design cutting depth the kerf ratio of the bottom width to the top width non-linear regression analysis verification experiment

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© Shanghai University and Springer-Verlag GmbH 2009

## Authors and Affiliations

• Gui-hua Hu (胡贵华)
• 1
• Wen-hua Zhu (朱文华)
• 1
• Hong-xia Cai (蔡红霞)
• 1
• Chong Xu (徐 翀)
• 2
• Yu-jie Bai (柏余杰)
• 1
• Jun Cheng (程 俊)
• 1
• Jin Yuan (苑 进)
• 1
• Tao Yu (俞 涛)
• 1
1. 1.CIMS and Robot Center of Shanghai UniversityShanghai UniversityShanghaiP. R. China
2. 2.Shanghai Yugong Machine-Electric Science and Technology Co. Ltd.ShanghaiP. R. China