Accuracy Analysis of Holes Drilled in Ductile Cast Iron with an HSS Helical Drill Bit
Abstract
1. Introduction
2. Materials and Methods
2.1. Experimental Design
2.2. Tool Characteristics
2.3. Workpiece Material
2.4. Test Rig and Instrumentation
2.5. Machine Tool
2.6. Measurement Equipment and Measurement Uncertainty
3. Results
3.1. Cutting Forces, Torques, and Accelerations
3.2. Surface Roughness
3.3. Dimensional Accuracy—Hole Diameter
3.4. Shape Accuracy—Circularity, Cylindricity, and Straightness
4. Discussion
5. Conclusions
- All drilled holes exhibited dimensional oversize exceeding the IT12 tolerance boundary (PN-EN 22768-1:1999, grade c, ±0.50 mm) for at least some axial positions. The smallest oversize (+0.26 mm for the fitted cylinder) was recorded at vc = 10 m/min, while the largest (+0.57 mm at 10 mm depth) was obtained at vc = 30 m/min. HSS helical drilling in DCI requires subsequent reaming or boring for precision applications.
- Cutting speed is the dominant factor affecting both diameter oversize and cylindricity. Increasing vc from 10 to 30 m/min increased the cylindricity error by 60% (from 0.10 to 0.16 mm) and cylinder diameter oversize by 77% (+0.26 to +0.46 mm). These trends are statistically significant relative to the estimated measurement uncertainty (UR = ±0.021 mm for cylindricity, and ±0.07 mm for diameter).
- Within the tested feed range (0.10–0.20 mm/rev) at a constant vc = 10 m/min, no statistically significant effect on cylindricity or diameter oversize was found; the observed differences fall within the expanded measurement uncertainty. The surface roughness Ra showed a non-monotonic dependence on the feed rate, with the highest value (9.1 µm) at fn = 0.15 mm/rev.
- Vibration accelerations increased nonlinearly between vc = 25 and 30 m/min (by a factor of 2.4–2.6×), indicating an approach to a resonance condition of the drill–spindle system. This resonance behaviour is the primary mechanism behind the disproportionate degradation in cylindricity at vc = 30 m/min.
- The best surface finish (Ra = 6.6 µm) was achieved at vc = 25 m/min with fn = 0.20 mm/rev. For applications prioritising both the minimum diameter oversize and minimum roughness, vc = 25 m/min and fn = 0.20 mm/rev are recommended within the tested range.
- Future work should employ a full 3 × 3 factorial design with replicated measurements to enable the ANOVA-based separation of the main and interaction effects, and should include a quantified tool wear assessment and frequency-domain analysis of vibration signals.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Specimen | vc (m/Min) | fn (mm/rev) | n (rpm) | vf (mm/Min) | Series |
|---|---|---|---|---|---|
| 1 | 10 | 0.20 | 270 | 54.0 | Feed/Speed ref. |
| 2 | 10 | 0.15 | 270 | 40.5 | Feed |
| 3 | 10 | 0.10 | 270 | 27.0 | Feed |
| 4 | 10 | 0.20 | 270 | 54.0 | Repeatability |
| 5 | 25 | 0.20 | 674 | 134.8 | Speed |
| 6 | 30 | 0.20 | 809 | 161.9 | Speed |
| Technical Data | Value |
|---|---|
| Drill diameter | 11.8 mm |
| Tool material | HSS |
| Overall length | 142 mm |
| Working depth | 94 mm |
| Usable length | 59 mm |
| Number of flutes | 2 |
| Point angle | 118° |
| Toolmaking standard | DIN 338 |
| Catalogue designation | N.11.80.R.5D.DIN338 VAP |
| C | Si | Cu | Mg | Mn | P | S | Cr | Zn | Fe |
|---|---|---|---|---|---|---|---|---|---|
| 3.78 | 2.46 | 0.01 | 0.05 | 0.32 | 0.038 | 0.065 | 0.031 | 0.004 | Bal. |
| Parameter | Sp. 1 | Sp. 4 | |Δ| | Rel. (%) | UR (k = 2) |
|---|---|---|---|---|---|
| Ra (µm) | 7.5 | 8.8 | 1.3 | 16.5 | ±0.92 µm |
| Rq (µm) | 10.1 | 11.0 | 0.9 | 8.6 | ±0.64 µm |
| Rz (µm) | 40.5 | 43.5 | 3.0 | 7.2 | ±2.12 µm |
| Cylinder diam. (mm) | 12.06 | 12.16 | 0.10 | 0.83 | ±0.07 mm |
| Cylindricity (mm) | 0.10 | 0.07 | 0.03 | 33.3 | ±0.021 mm |
| Mean straightness (mm) | 0.045 | 0.055 | 0.010 | 22.2 | ±0.007 mm |
| Sp. | Fx_max (N) | Fz_max (N) | Mx_max (Nm) | Mz_max (Nm) | ax_max (m/s2) | ay_max (m/s2) | az_max (m/s2) | Series |
|---|---|---|---|---|---|---|---|---|
| 1 | 210.6 | 1212.8 | 38.4 | 14.6 | 24.8 | 17.2 | 17.4 | ref. |
| 2 | 284.8 | 1285.1 | 48.9 | 19.8 | 48.5 | 33.7 | 38.5 | Feed |
| 3 | 216.6 | 1019.9 | 36.6 | 19.4 | 32.8 | 17.6 | 22.3 | Feed |
| 4 | 324.3 | 1567.2 | 69.5 | 19.9 | 26.6 | 23.3 | 18.5 | Repeat |
| 5 | 391.9 | 1649.6 | 83.8 | 26.5 | 53.9 | 36.2 | 41.8 | Speed |
| 6 | 305.4 | 1652.0 | 68.4 | 26.1 | 131.3 | 94.6 | 100.5 | Speed |
| Sp. | Ra (µm) | Rp (µm) | Rq (µm) | Rsk (–) | RSm (mm) | Rt (µm) | Rz (µm) |
|---|---|---|---|---|---|---|---|
| 1 | 7.5 | 19.5 | 10.1 | 0.70 | 0.250 | 64.6 | 40.5 |
| 2 | 9.1 | 19.9 | 11.1 | 0.20 | 0.302 | 52.0 | 41.4 |
| 3 | 7.2 | 21.9 | 9.2 | 0.02 | 0.268 | 56.9 | 41.2 |
| 4 | 8.8 | 23.5 | 11.0 | 0.07 | 0.333 | 62.5 | 43.5 |
| 5 | 6.6 | 18.3 | 8.4 | 0.10 | 0.326 | 54.7 | 34.4 |
| 6 | 7.2 | 20.5 | 9.1 | 0.50 | 0.307 | 48.0 | 38.2 |
| Measurement | Sp. 1 | Sp. 2 | Sp. 3 | Sp. 4 | Sp. 5 | Sp. 6 |
|---|---|---|---|---|---|---|
| Diameter at 5 mm | 12.13 | 12.20 | 12.13 | 12.18 | 12.14 | 12.36 |
| Diameter at 10 mm | 12.06 | 12.27 | 12.20 | 12.18 | 12.20 | 12.37 |
| Diameter at 15 mm | 12.05 | 12.24 | 12.16 | 12.16 | 12.21 | 12.29 |
| Diameter at 20 mm | 12.04 | 12.16 | 12.11 | 12.17 | 12.20 | 12.18 |
| Diameter at 25 mm | 12.01 | 12.11 | 12.07 | 12.11 | 12.08 | 12.10 |
| Cylinder diameter | 12.06 | 12.20 | 12.13 | 12.16 | 12.17 | 12.26 |
| Oversize vs. Ø11.80 mm | +0.26 | +0.40 | +0.33 | +0.36 | +0.37 | +0.46 |
| Parameter (mm) | Sp. 1 | Sp. 2 | Sp. 3 | Sp. 4 | Sp. 5 | Sp. 6 |
|---|---|---|---|---|---|---|
| Circularity at 5 mm | 0.03 | 0.03 | 0.02 | 0.02 | 0.02 | 0.02 |
| Circularity at 10 mm | 0.02 | 0.02 | 0.04 | 0.03 | 0.04 | 0.02 |
| Circularity at 15 mm | 0.02 | 0.02 | 0.03 | 0.02 | 0.03 | 0.02 |
| Circularity at 20 mm | 0.02 | 0.02 | 0.02 | 0.02 | 0.05 | 0.03 |
| Circularity at 25 mm | 0.03 | 0.05 | 0.03 | 0.02 | 0.03 | 0.01 |
| Cylindricity | 0.10 | 0.11 | 0.10 | 0.07 | 0.12 | 0.16 |
| Parameter (mm) | Sp. 1 | Sp. 2 | Sp. 3 | Sp. 4 | Sp. 5 | Sp. 6 |
|---|---|---|---|---|---|---|
| Straightness—gen. 1 | 0.04 | 0.05 | 0.04 | 0.05 | 0.05 | 0.05 |
| Straightness—gen. 2 | 0.04 | 0.06 | 0.05 | 0.06 | 0.07 | 0.05 |
| Straightness—gen. 3 | 0.05 | 0.06 | 0.05 | 0.04 | 0.05 | 0.06 |
| Straightness—gen. 4 | 0.05 | 0.04 | 0.07 | 0.07 | 0.07 | 0.06 |
| Mean straightness | 0.045 | 0.053 | 0.053 | 0.055 | 0.060 | 0.055 |
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Sójka, R.; Ziarkowski, P.; Klamczyński, K.; Kowalska, N.; Blasiak, S.; Nowakowski, L.; Skrzyniarz, M. Accuracy Analysis of Holes Drilled in Ductile Cast Iron with an HSS Helical Drill Bit. Materials 2026, 19, 2606. https://doi.org/10.3390/ma19122606
Sójka R, Ziarkowski P, Klamczyński K, Kowalska N, Blasiak S, Nowakowski L, Skrzyniarz M. Accuracy Analysis of Holes Drilled in Ductile Cast Iron with an HSS Helical Drill Bit. Materials. 2026; 19(12):2606. https://doi.org/10.3390/ma19122606
Chicago/Turabian StyleSójka, Radosław, Piotr Ziarkowski, Kamil Klamczyński, Natalia Kowalska, Slawomir Blasiak, Lukasz Nowakowski, and Michal Skrzyniarz. 2026. "Accuracy Analysis of Holes Drilled in Ductile Cast Iron with an HSS Helical Drill Bit" Materials 19, no. 12: 2606. https://doi.org/10.3390/ma19122606
APA StyleSójka, R., Ziarkowski, P., Klamczyński, K., Kowalska, N., Blasiak, S., Nowakowski, L., & Skrzyniarz, M. (2026). Accuracy Analysis of Holes Drilled in Ductile Cast Iron with an HSS Helical Drill Bit. Materials, 19(12), 2606. https://doi.org/10.3390/ma19122606

