Advances in Production Engineering & Management

Archives > Volume 17 | Number 3 | September 2022 > pp 367–380

Advances in Production Engineering & Management
Volume 17 | Number 3 | September 2022 | pp 367–380

https://doi.org/10.14743/apem2022.3.442

Modelling surface roughness in finish turning as a function of cutting tool geometry using the response surface method, Gaussian process regression and decision tree regression
Vukelic, D.; Simunovic, K.; Kanovic, Z.; Saric, T.; Doroslovacki, K.; Prica, M.; Simunovic, G.

A B S T R A C T
In this study, the modelling of arithmetical mean roughness after turning of C45 steel was performed. Four parameters of cutting tool geometry were varied, i.e.: corner radius r, approach angle κ, rake angle γ and inclination angle λ. After turning, the arithmetical mean roughness Ra was measured. The obtained values of Ra ranged from 0.13 μm to 4.39 μm. The results of the experiments showed that surface roughness improves with increasing corner radius, increasing approach angle, increasing rake angle, and decreasing inclination angle. Based on the experimental results, models were developed to predict the distribution of the arithmetical mean roughness using the response surface method (RSM), Gaussian process regression with two kernel functions, the sequential exponential function (GPR-SE) and Mattern (GPR-Mat), and decision tree regression (DTR). The maximum percentage errors of the developed models were 3.898 %, 1.192 %, 1.364 %, and 0.960 % for DTR, GPR-SE, GPR-Mat, and RSM, respectively. In the worst case, the maximum absolute errors were 0.106 μm, 0.017 μm, 0.019 μm, and 0.011 μm for DTR, GPR-SE, GPR-Mat, and RSM, respectively. The results and the obtained errors show that the developed models can be successfully used for surface roughness prediction.

A R T I C L E   I N F O
Keywords • Turning; Tool geometry; Modelling; Surface roughness; Response surface method; Decision tree regression; Gaussian process regression
Corresponding authorVukelic, D.
Article history • Received 13 June 2022, Revised 19 September 2022, Accepted 21 September 2022
Published on-line • 30 September 2022

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