THE EFFECT OF THICKNESS AND FILAMENT TYPE ON THE MODAL BEHAVIOR OF 3D PRINTED SPUR GEARS

Öz

Nowadays, the modal analysis method is effectively employed in the design of low-noise, high-safety machines, the production of comfortable vehicles, and the development of structures resistant to dynamic loads, the establishment of safe operating conditions, and the determination of optimal operating parameters. In this study, modal analyses were conducted on spur gear models produced using four commonly utilized 3D printing filament materials (PLA, ABS, PET-G, and PC) each in four different thicknesses)3 mm, 5 mm, 7 mm, and 9 mm). The analyses were performed using a finite element analysis (FEA)-based simulation software. For each combination of material type and gear thickness, natural frequencies (Hz) and corresponding eigenvalues (1/s²) were obtained across six distinct vibration modes. The results indicate that both frequency and eigenvalue values vary significantly depending on the material type and gear thickness. It was observed that the thickness parameter has a substantial impact on the natural frequency in the lower modes. This comprehensive study graphically compares the vibrational behavior of different materials and thicknesses and provides a scientific basis for identifying the most suitable material–geometry combinations in terms of modal performance.

Anahtar Kelimeler

• Spur Gear
• Modal Analysis
• Natural Frequency
• 3D Printer
• Filament Material
• Thickness Effect
• Finite Element Method.

Kaynakça

1. 1. Sapieta, M., Dekýš, V., Kaco, M., Pástor, M., Sapietová ,A. and Drvárová, B. “Investigation of the Mechanical Properties of Spur Involute Gearing by Infrared Thermography,” Applied Sciences, vol. 13, Issue 10, Pages 5988, 2023.
2. 2. Dawoud, M., Taha, I., and Ebeid, S.J., “Mechanical behaviour of ABS: An experimental study using FDM and injection moulding techniques,” Journal of Manufacturing Processes, Vol. 21, Pages 39–45, 2016.
3. 3. Ziemian, S., Okwara, M., and Ziemian, C.W., “Tensile and fatigue behavior of layered acrylonitrile butadiene styrene,” Rapid Prototyping Journal, Vol. 21, Issue. 3, Pages 270–278, 2015.
4. 4. Aliheidari, N., Tripuraneni, R., Ameli, A., and Nadimpalli, S., “Fracture resistance measurement of fused deposition modeling 3D printed polymers,” Polymer Testing, Vol. 60, Pages 94–101, 2017.
5. 5. Vanaei, H.R., Khelladi, S., Deligant, M., Shirinbayan, M., and Tcharkhtchi, A., “Numerical Prediction for Temperature Profile of Parts Manufactured using Fused Filament Fabrication,” Journal of Manufacturing Processes, Vol. 76, Pages 548–558, 2022.
6. 6. Ergene, B., Atlıhan, G., and Pinar, A.M., “Experimental and finite element analyses on the vibration behavior of 3D-printed PET-G tapered beams with fused filament fabrication,” MMMS, Vol. 19, Issue. 4, Pages. 634–651, 2023.
7. 7. Kannan, S., Manapaya, A., and Selvaraj, R., “Frequency and deflection responses of 3D ‐printed carbon fiber reinforced polylactic acid composites: Theoretical and experimental verification,” Polymer Composites, Vol. 44, Issue. 7, Pages 4095–4108, 2023.
8. 8. Grammatikopoulos, A., Banks, J., and Temarel, P., “Prediction of the vibratory properties of ship models with realistic structural configurations produced using additive manufacturing,” Marine Structures, Vol. 73, Pages 102801, 2020.

9. 9. Maraş, S., and Bolat, Ç., “Free Vibration Analysis of 3D-printed ABS, PET-G and PLA Curved Beam: Effects of Opening Angle, Curvature Radius, and Part Thickness,” Afyon Kocatepe University Journal of Sciences and Engineering, Vol. 25, Issue 1, Pages 206–214, 2025.
10. 10. Yazar, M., and Yanikören, M., “Spur gear design, manufacturing and noise analysis according to rolling method using complex numbers,” Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol. 12, Issue 1, Pages 78–89, 2022.
11. 11. Mahendran, S., Eazhil, K.M., Kumar, L.S., “Design and Analysis of Composite Spur Gear,” 2014.
12. 12. Keerthi, M., Sandya, K., Srinivas, K., “Static & Dynamic Analysis of Spur Gear using Different Materialsdz,” IRJET, Vol. 03, Issue 1, 2016
13. 13. Yang, J., Zhang, Y., and Lee, C.H., “Multi-parameter optimization-based design of lightweight vibration-reduction gear bodies,” J Mech Sci Technol, Vol. 36, Issue 4, Pages 1879–1887, 2022.
14. 14. Zorko, D. and Kalister, R., “An Experimental Study on the NVH Performance of Plastic Gears,” Gear Technology, Vol. 53, Issue 8, Pages 52-57, 2024
15. 15. Pisula, J., Budzik, G., Turek, P., and Cieplak, M., “An Analysis of Polymer Gear Wear in a Spur Gear Train Made Using FDM and FFF Methods Based on Tooth Surface Topography Assessment,” Polymers, Vol. 13, Issue 10, Page 1649, 2021.
16. 16. Muminović, A.J., Braut, S., Božić, Z., Pervan, N. and Skoblar, A., “Experimental failure analysis of polylactic acid gears made by additive manufacturing,” Procedia Structural Integrity, Vol. 46, Issue 1, Pages 125–130, 2023.
17. 17. Bezzini, R., Bassani, G., Avizzano, C. A., and Filippeschi, A., “Design and Experimental Evaluation of Multiple 3D-Printed Reduction Gearboxes for Wearable Exoskeletons,” Robotics, Vol. 13, Issue 11, Pages 168, 2024.