Multi-objective optimization of cutting parameters in high-speed milling based on grey relational analysis coupled with principal component analysis

doi:10.1007/s11465-012-0338-z

Front Mech Eng

2012, Vol. 7

Issue (4) : 445-452 https://doi.org/10.1007/s11465-012-0338-z

RESEARCH ARTICLE

Multi-objective optimization of cutting parameters in high-speed milling based on grey relational analysis coupled with principal component analysis

Tao FU^1,2(

), Jibin ZHAO², Weijun LIU²

1. Graduate University of the Chinese Academy of Sciences, Beijing 100049, China; 2. Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China

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Abstract

This paper investigates optimization problem of the cutting parameters in high-speed milling on NAK80 mold steel. An experiment based on the technology of Taguchi is performed. The objective is to establish a correlation among spindle speed, feed per tooth and depth of cut to the three directions of cutting force in the milling process. In this study, the optimum cutting parameters are obtained by the grey relational analysis. Moreover, the principal component analysis is applied to evaluate the weights so that their relative significance can be described properly and objectively. The results of experiments show that grey relational analysis coupled with principal component analysis can effectively acquire the optimal combination of cutting parameters and the proposed approach can be a useful tool to reduce the cutting force.

Keywords high-speed milling grey relational analysis principal component analysis parameters optimization

Corresponding Author(s): FU Tao,Email:futao@sia.cn

Issue Date: 05 December 2012

Cite this article:

Tao FU,Jibin ZHAO,Weijun LIU. Multi-objective optimization of cutting parameters in high-speed milling based on grey relational analysis coupled with principal component analysis[J]. Front Mech Eng, 2012, 7(4): 445-452.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-012-0338-z
https://academic.hep.com.cn/fme/EN/Y2012/V7/I4/445

Tab.1 Chemical composition of NAK80

Tab.2 Physical and Mechanical properties of NAK80

Fig.1 Milling experiment

Tab.3 Machining parameters and their levels

Tab.4 Experimental layout using an L27 orthogonal array

Fig.2 Purpose of grey relational analysis

Tab.5 Data for 27 comparability sequences

Tab.6 Calculated grey relational coefficient and weighted grey relational grade and its order for 27 comparability sequences

Tab.7 Eigenvalues and explained variation for principal components

Tab.8 Eigenvectors for principal components

Tab.9 Contribution of each individual response variable for the first principal component

Tab.10 Response table for the grey relational grade

Fig.3 Grey relational grade graph

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