IJMERR 2024 Vol.13(2): 249-253
doi: 10.18178/ijmerr.13.2.249-253
Improving the Accuracy of the Surface Roughness Model in Grinding Through Square Root Transformation
Do Duc Trung and Nguyen Trong Mai *
School of Mechanical and Automotive Engineering, Hanoi University of Industry, Hanoi, Vietnam
Email: doductrung@haui.edu.vn (D.D.T.); nguyentrongmai@haui.edu.vn (N.T.M.)
*Corresponding author
Manuscript received December 6, 2023; revised January 12, 2024; accepted January 24, 2024; published April 10, 2024.
Abstract—Surface roughness is a crucial parameter for
mechanical products. To achieve small surface roughness,
the grinding method is often chosen as the final machining
process. The regression model of surface roughness forms
the basis for controlling the grinding process and predicting
surface roughness under specific conditions. The
effectiveness of process control and the accuracy of predicted
surface roughness depend on the precision of the surface
roughness regression model. This study aims to enhance the
accuracy of the surface roughness regression model by
employing square root transformation. An experimental
process was conducted with a total of eighteen experiments.
In each experiment, three cutting parameters, including
workpiece speed, tool feed rate, and cutting depth, were
varied. Surface roughness was measured in each experiment.
After conducting experiments, a surface roughness
regression model was established, denoted as Model (1),
without using any data transformation. The square root
transformation was applied to convert the surface roughness
dataset into another set of data. From this dataset, another
surface roughness model, referred to as Model (2), was
developed. Both models were used to predict surface
roughness, and the predicted results were compared with the
actual surface roughness in the experiments. Four
parameters were used to compare Models (1) and (2),
including the coefficient of determination (R-Sq), adjusted
coefficient of determination (R-Sq(adj)), mean absolute error
percentage (%MAE), and mean squared error (%MSE). All
four parameters for Model (2) were superior to those for
Model (1). The results confirmed that the square root
transformation successfully improved the accuracy of the
surface roughness regression model in grinding applications.
Keywords—surface roughness, grinding, square root
transformation
Cite: Do Duc Trung and Nguyen Trong Mai, "Improving the Accuracy of the Surface Roughness Model in Grinding Through Square Root Transformation," International Journal of Mechanical Engineering and Robotics Research, Vol. 13, No. 2, pp. 249-253, 2024.
Copyright © 2024 by the authors. This is an open access article distributed under the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits use, distribution and reproduction in any medium, provided that the article is properly cited, the use is non-commercial and no modifications or adaptations are made.