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April 18, 20260 citationsOpen Access

Milling Parameters for Surface Finish, Material Removal Rate, and Cutting Force Using Taguchi and Response Surface Methodology

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KRKalekar S. R.VDVanduskar Vishakha Dadaso

Key Points

  • To optimize CNC end milling parameters for EN31 alloy steel to improve surface finish, material removal rate, and cutting force.
  • Utilized Taguchi L9 orthogonal array design for parameter optimization.
  • Evaluated three milling strategies: conventional, climb, and high-speed.
  • Measured surface roughness, material removal rate, and main cutting force at various speeds, feed rates, and depths of cut.
  • Conducted ANOVA to identify significant factors influencing surface finish and cutting force.
  • Applied Response Surface Methodology (RSM) for second-order model predictions.
  • Optimal parameters identified as 4000 rpm spindle speed, 100 mm/min feed rate, 0.8 mm depth of cut.
  • Climb milling strategy reduced surface roughness by 39.4% compared to conventional milling.
  • ANOVA indicated spindle speed had the highest contribution (43.1%) to surface roughness.
  • RSM predictions had R² values greater than 0.96, indicating high accuracy.
  • Validation experiments showed prediction errors below 4.8%.

Abstract

This paper presents a systematic experimental investigation into the optimisation of CNC end milling process parameters for EN31 alloy steel using the Taguchi L9 orthogonal array design, Analysis of Variance (ANOVA), and Response Surface Methodology (RSM). Three machining strategies — conventional, climb, and high-speed milling — were evaluated at three levels of spindle speed (2000, 3000, 4000 rpm), feed rate (100, 150, 200 mm/min), and axial depth of cut (0.4, 0.8, 1.2 mm) using a TiAlN-coated solid carbide four-flute end mill. Response variables measured include surface roughness (Ra), material removal rate (MRR), and main cutting force (Fc). Signal-to-Noise (S/N) ratio analysis identified the optimal parameter combination as spindle speed 4000 rpm, feed rate 100 mm/min, axial depth of cut 0.8 mm, using climb milling strategy. ANOVA revealed spindle speed as the most significant factor with 43.1 percent contribution to surface roughness, followed by feed rate (28.6 percent) and milling strategy (16.2 percent). RSM second-order models predicted all three responses with R² greater than 0.96. Climb milling reduced surface roughness by 39.4 percent and cutting force by 21.8 percent compared to conventional milling. Confirmation experiments validated predicted optimal values with errors below 4.8 percent.

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Cite This Study

R. et al. (2026) studied this question.

synapsesocial.com/papers/69e320fd40886becb65402fdhttps://doi.org/10.5281/zenodo.19603308
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